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Dissertations / Theses on the topic 'Bifurcation problems'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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1

Duka, E. D. "Bifurcation problems in finite elasticity." Thesis, University of Nottingham, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.384747.

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2

Melbourne, I. "Bifurcation problems with octahedral symmetry." Thesis, University of Warwick, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383295.

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3

Park, Jungho. "Bifurcation and stability problems in fluid dynamics." [Bloomington, Ind.] : Indiana University, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3274924.

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Thesis (Ph.D.)--Indiana University, Dept. of Mathematics, 2007.<br>Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4529. Adviser: Shouhong Wang. Title from dissertation home page (viewed Apr. 22, 2008).
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4

McGarry, John Kevin. "Application of bifurcation theory to physical problems." Thesis, University of Leeds, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.252925.

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5

Bougherara, Brahim. "Problèmes non-linéaires singuliers et bifurcation." Thesis, Pau, 2014. http://www.theses.fr/2014PAUU3012/document.

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Cette thèse s’inscrit dans le domaine mathématique de l’analyse des équations aux dérivées partielles non linéaires. Précisément, nous nous sommes intéressés à une classe de problèmes elliptiques et paraboliques avec coefficients singuliers. Ce manque de régularité pose un certain nombre de difficultés qui ne permettent pas d’utiliser directement les méthodes classiques de l’analyse non-linéaire fondées entre autres sur des résultats de compacité. Dans les démonstrations des principaux résultats, nous montrons comment pallier ces difficultés. Ceci suppose d’adapter certaines techniques bien co
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6

Manoel, Miriam Garcia. "Hidden symmetries in bifurcation problems : the singularity theory." Thesis, University of Warwick, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.327556.

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7

Menon, Shakti Narayana. "Bifurcation problems in chaotically stirred reaction-diffusion systems." Thesis, The University of Sydney, 2008. http://hdl.handle.net/2123/3685.

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A detailed theoretical and numerical investigation of the behaviour of reactive systems under the influence of chaotic stirring is presented. These systems exhibit stationary solutions arising from the balance between chaotic advection and diffusion. Excessive stirring of such systems results in the termination of the reaction via a saddle-node bifurcation. The solution behaviour of these systems is analytically described using a recently developed nonperturbative, non-asymptotic variational method. This method involves fitting appropriate parameterised test functions to the solution, and also
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8

Menon, Shakti Narayana. "Bifurcation problems in chaotically stirred reaction-diffusion systems." University of Sydney, 2008. http://hdl.handle.net/2123/3685.

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Doctor of Philosophy<br>A detailed theoretical and numerical investigation of the behaviour of reactive systems under the influence of chaotic stirring is presented. These systems exhibit stationary solutions arising from the balance between chaotic advection and diffusion. Excessive stirring of such systems results in the termination of the reaction via a saddle-node bifurcation. The solution behaviour of these systems is analytically described using a recently developed nonperturbative, non-asymptotic variational method. This method involves fitting appropriate parameterised test functions t
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9

Sallam, M. H. M. "Aspects of stability and bifurcation theory for multiparameter problems." Thesis, University of Strathclyde, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.371969.

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10

Zhang, Tiansi. "Problems of homoclinic flips bifurcation in four-dimensional systems." Lyon, École normale supérieure (sciences), 2007. http://www.theses.fr/2007ENSL0431.

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11

Freitas, Pedro S. C. de. "Some problems in nonlocal reaction-diffusion equations." Thesis, Heriot-Watt University, 1994. http://hdl.handle.net/10399/1401.

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12

Bari, Rehana. "Local and global bifurcation theory for multiparameter nonlinear eigenvalue problems." Thesis, Heriot-Watt University, 1995. http://hdl.handle.net/10399/755.

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13

Nishiyama, Takehiro. "Algorithm for Optimization Problems Based on Bifurcation Characteristics of Dynamical Systems." 京都大学 (Kyoto University), 2001. http://hdl.handle.net/2433/150284.

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14

Sargent, Ethan. "Radial Solutions to Semipositone Dirichlet Problems." Scholarship @ Claremont, 2019. https://scholarship.claremont.edu/hmc_theses/229.

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We study a Dirichlet problem, investigating existence and uniqueness for semipositone and superlinear nonlinearities. We make use of Pohozaev identities, energy arguments, and bifurcation from a simple eigenvalue.
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15

Stamic̆ar, Robert Nikola. "A free boundary problem modelling zoning in rocks /." *McMaster only, 1998.

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16

Battini, Jean-Marc. "Co-rotational beam elements in instability problems." Doctoral thesis, KTH, Byggkonstruktion, 2002. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3284.

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The purpose of the work presented in this thesis is to implement co-rotational beam elements and branch-switching procedures in order to analyse elastic and elastoplasticinstability problems. For the 2D beam elements, the co-rotational framework is taken from Crisfield [23]. The main objective is to compare three different local elasto-plastic elements. The 3D co-rotational formulation is based on the work of Pacoste and Eriksson [73],with new items concerning the parameterisation of the finite rotations, the definitionof the local frame, the inclusion of warping effects through the introducti
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17

ZONGO, WEND BENEDO EMMANUEL. "BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR AND HIGHER-ORDER ELLIPTIC OPERATORS AND APPLICATION TO BIFURCATION AND STABILIZATION." Doctoral thesis, Università degli Studi di Milano, 2022. http://hdl.handle.net/2434/892091.

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In this thesis, we are interested in the study of nonlinear eigenvalue problem and the controllability of partial differential equations in a smooth bounded domain with boundary. The first part is devoted to the analysis of an eigenvalue problem for quasilinear elliptic operators involving homogeneous Dirichlet boundary conditions. We investigate the asymptotic behaviour of the spectrum of the related problem by showing on the one hand the bifurcation results from trivial solutions using the Krasnoselski bifurcation theorem and bifurcation from infinity using the Leray-Schauder degree on t
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18

SCAGLIA, MICHELE. "NONTRIVIAL SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATIONS WITH MEASURE DATA." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2015. http://hdl.handle.net/10281/77845.

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The main subject of this thesis is the study, by a variational approach, of semilinear elliptic problems with measure data. Starting with a semilinear problem with unique solution, we introduce a parametrized perturbation and study the bifurcation phenomena giving rise to further solutions. The main feature is that we are able to use a direct variational approach, even when the semilinearity has no growth assumptions. In this setting, we prove bifurcation results in the line of classical results of Boehme-Marino and Rabinowitz and also global existence results.
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19

Lee, Yoon-Mee. "Hopf Bifurcation in a Parabolic Free Boundary Problem." DigitalCommons@USU, 1992. https://digitalcommons.usu.edu/etd/7138.

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We deal with a free boundary problem for a nonlinear parabolic equation, which includes a parameter in the free boundary condition. This type of system has been used in models of ecological systems, in chemical reactor theory and other kinds of propagation phenomena involving reactions and diffusion. The main purpose of this dissertation is to show the global existence, uniqueness of solutions and that a Hopf bifurcation occurs at a critical value of the parameter r. The existence and uniqueness of the solution for this problem are shown by finding an equivalent regular free boundary problem t
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20

Lambarki, El Allioui Saïd. "Resolution d'un probleme de bifurcation par une methode multigrilles." Toulouse 3, 1986. http://www.theses.fr/1986TOU30102.

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On construit l'unique solution stationnaire asymptotiquement stable d'une equation modele du type burgers generalisee, dans un intervalle borne, en resolvant le probleme de cauchy par une methode multigrilles, a chaque pas du temps. On utilise pres de la bifurcation de la solution nulle une ocndition initiale correspondant a une approximation de galerkin. On construit la solution stationnaire asymptotiquement stable loin de la bifurcation a partir d'une initialisation definie pas a pas
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21

Lambarki, El Allioui Saïd. "Résolution d'un problème de bifurcation par une méthode multigrilles." Grenoble 2 : ANRT, 1986. http://catalogue.bnf.fr/ark:/12148/cb375989145.

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22

GUYARD, FREDERIC. "Interactions de modes dans les problemes de bifurcation avec symetrie spherique." Nice, 1994. http://www.theses.fr/1994NICE4807.

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Dans cette these, nous etudions les interactions de modes dans les problems de bifurcation avec symetrie spherique. Nous obtenons dans un premier temps une classification des treillis d'isotropie pour un couplage de deux modes 1 et 1' quelconques. Nous appliquons cette classification au cas du couplage de modes 1 et 1+1, ce type de couplage apparaissant de facon naturelle dans le probleme de la convection d'un liquide dans un domaine spherique. Nous definissons ensuite un type de cycle heterocline structurellement stable et force par symetrie. De tels cycles existent pour l'interaction de mode
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23

Anson, David Kenneth. "Numerical bifurcation theory and its application to the Taylor vortex problem." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329902.

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24

Amdjadi, F. "Numerical methods for bifurcations and mode interactions in problems with symmetry." Thesis, University of Surrey, 1994. http://epubs.surrey.ac.uk/843720/.

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The thesis studies two problems. The first is a problem with 0(2) symmetry which gives rise to a branch with Z2 symmetry. The Jacobian along the Z2-symmetric branch is always singular, due to the group orbit of solutions. The situation when a pair of complex eigenvalues cross the imaginary axis is considered and canonical coordinates are used to remove the degeneracy from the system so that the standard theory can be applied. This method is used in order to understand the type of solutions that occur. The method cannot be applied to partial differential equations and so a method involving a ph
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25

Lombardi, Eric. "Bifurcation d'orbites homoclines pour certains systemes reversibles. Applications au probleme des vagues." Nice, 1996. http://www.theses.fr/1996NICE4931.

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On etudie la classe des champs de vecteurs reversibles, en dimension finie ou non, dont le spectre de la differentielle presente au voisinage de l'axe imaginaire la bifurcation suivante: superposition d'une dynamique oscillante induite par une paire de valeurs propres imaginaires pures d'ordre 1, simples et opposees, et d'une dynamique lente induite par une paire de valeurs propres passant du cas hyperbolique (+r et -r) au cas oscillant (+ir et -ir) ou r est la racine carree du module du parametre de bifurcation. Un tel champ de vecteurs en dimension infinie regit les ondes non lineaires a la
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26

ROCHA, CARLOS ROGERIO RODRIGUES. "BIFURCATION THEORY IN ELECTRICAL POWER SYSTEMS: AN APPLICATION TO THE OPTIMIZATION PROBLEM." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 1995. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=8640@1.

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COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>Este trabalho visa estudar a teoria das bifurcações associada a sistemas de equações diferenciais não lineares com aplicação aos estudos de estabilidade em sistemas elétricos de potência. Como aplicação desta teoria analisamos o problema de operação ótima em sistemas de potência. Novas restrições são derivadas desta teoria que, incluídas às restrições tradicionais de um fluxo de potência ótimo, garantem a estabilidade do ponto de operação obtido.<br>This work aims at studying bufurcation theory associated to non-linear di
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27

BOSCH, VIVANIOS IGNACIO. "Bifurcations dans les problemes de l'hydrodynamique en symetries plane et spherique." Nice, 1994. http://www.theses.fr/1994NICE4803.

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Dans cette these nous etudions le probleme dynamo a l'aide de l'outil mathematique des bifurcations avec symetries. Nous abordons la possible existence d'un champ magnetique auto-entretenu resultant d'une bifurcation secondaire a partir d'un ecoulement de base purement conductif. Dans le premier chapitre nous etudions le cas plan ou nous elargissons la theorie aux symetries d'un reseau bi-periodique. Ce premier travail est a l'origine du second chapitre consacre a la classification des motifs spatiaux qui peuvent apparaitre dans les systemes d'e. D. P possedant la symetrie euclidienne. Dans ce
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28

EL, KOULANI ABDELMAJID POTIER-FERRY M. "CONTINUATION DANS LES PROBLEMES A FRONTIERES LIBRES DE TYPE BIFURCATIONS PLASTIQUES /." [S.l.] : [s.n.], 1996. ftp://ftp.scd.univ-metz.fr/pub/Theses/1996/ElKoulani.Abdelmajid.SMZ9629.pdf.

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29

Yebari, Naji. "Sur un problème de diffusion-réaction avec frontière libre : un modèle de dissolution-croissance." Saint-Etienne, 1988. http://www.theses.fr/1988STET4005.

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On présente une analyse mathématique d'un modèle simple de dissolution-croissance. Le système hétérogène est constitué d'un petit grain sphérique d'un seul composant au sein d'une solution liquide du même composant. L'échange de matière se fait à l'interface entre le solide et le liquide. Cette interface joue le rôle de la frontière libre. En régime stationnaire, on obtient des résultats d'existence et de non-existence correspondant aux données. L'étude de la stabilité concernant le problème d'évolution associé est menée par des simulations numériques
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30

Sathaye, Archana S. "BIFDE: a numerical software package for the hopf bifurcation problem in functional differential equations." Thesis, Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/101145.

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A software package has been written to compute the Hopf bifurcation structure in functional differential equations. The package is modular, and consists of several routines which perform one or more tasks. In conjunction with the routines available in this package, the user is required to provide a few routines which describe the specific system under analysis. Three example systems (from epidemiology, biochemistry and aerospace engineering) have been analyzed to illustrate the use of this package.<br>M.S.
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31

Grdadolnik, Jake Matthew. "Supercritical and Subcritical Pitchfork Bifurcations in a Buckling Problem for a Graphene Sheet between 2 Rigid Substrates." University of Akron / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=akron1618585173630134.

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32

Chehab, Jean-Paul. "Méthode des inconnues incrémentales : application au calcul des bifurcations." Paris 11, 1993. http://www.theses.fr/1993PA112031.

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Ce travail est consacré à l'élaboration de nouveaux schémas numériques en bifurcation. Ils résultent de plusieurs généralisations de la méthode de Marder et Weitzner (mW) à l'aide de la méthode des inconnues incrémentales introduite par R. Temam. Nous rappelons tout d'abord la construction et les principales propriétés des inconnues incrémentales d'ordre deux en dimension et un et deux d'espace. Le problème de Poisson donne une première illustration numérique des avantages de la nouvelle technique et nous proposons une famille de pré conditionneurs des matrices sous-jacentes. Ensuite, nous pré
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33

Chalmers, Alexander David. "Mathematical Modelling of Atherosclerosis." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/14986.

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In atherosclerosis, the arterial lining undergoes a specific sequence of inflammatory responses to an injury to the cells that line the blood vessel and to low density lipoprotein (LDL) particles from the blood stream that penetrate through this injury into the arterial wall. We model the events that take place inside the blood vessel wall that occur immediately after such an injury with a system of partial differential equations that involve the LDL particles, two proinflammatory cytokines, monocyte-derived macrophages and their lipid-filled counterparts, foam cells. The model includes the ch
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34

Bagwell, Ross David. "Bifurcation and Stability of a Ring Problem Motivated by the Mechanics of Double-Walled Carbon Nanotubes." University of Akron / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=akron1335288394.

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35

Diaz, Elkin Dario Cardenas. "Fenômeno de bifurcação no problema de Yamabe sobre variedades riemannianas com bordo." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-30082016-001339/.

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No presente trabalho consideramos o produto de uma variedade Riemanniana compacta sem bordo de curvatura escalar zero e uma variedade Riemanniana compacta com bordo, curvatura escalar zero e curvatura media constante no bordo, e fazemos uso da teoria de bifurcação para provar a existência de um numero infinito de classes conforme com, pelo menos, duas métricas Riemannianas não homotéticas de curvatura escalar zero e curvatura média constante no bordo, sobre a variedade produto.<br>In this work, we consider the product of a compact Riemannian manifold without boundary, null scalar curvature and
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36

Lui, Shiu-Hong Keller Herbert Bishop. "Part I. Multiple bifurcations. : Part II. Parallel homotopy method for the real nonsymmetric eigenvalue problem /." Diss., Pasadena, Calif. : California Institute of Technology, 1992. http://resolver.caltech.edu/CaltechETD:etd-06152005-084230.

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37

Rezende, Alex Carlucci. "Dois métodos para a investigação de ciclos limites que bifurcam de centros." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-11042011-113618/.

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Um dos mais investigados problemas na teoria qualitativa dos sistemas dinâmicos no plano é o XVI problema de Hilbert que trata dos ciclos limites. Mais precisamente, a segunda parte do referido problema questiona sobre o número máximo de ciclos limites de um sistema diferencial polinomial plano de grau n. Por ciclo limite entendemos uma órbita fechada isolada no conjunto de todas as órbitas periódicas de um sistema diferencial plano.Uma maneira clássica de obter um ciclo limite é perturbando um sistema com uma singularidade do tipo centro. Nesta dissertação apresentamos dois métodos utilizados
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38

Texier, Picard Rozenn Volpert Vitaly Marion Martine. "Problèmes de réaction-diffusion avec convection une étude mathématique et numérique /." Villeurbanne : Université Claude Bernard (Lyon 1), 2002. http://tel.archives-ouvertes.fr/docs/00/04/50/62/PDF/tel-00002038.pdf.

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39

Zhang, Wei. "Study of Central Configurations and Relative Equilibria in the Problem of Four Bodies." University of Cincinnati / OhioLINK, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=ucin974472331.

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40

Sonnino, Giorgio. "Bifurcations and pattern selection in Rayleigh-Benard and Couette-Taylor problems: the role of the compressibility, boundary conditions and fluctuations." Doctoral thesis, Universite Libre de Bruxelles, 1992. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/212913.

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41

Piqueira, José Roberto Castilho. "Aplicação da teoria qualitativa de equações diferenciais a problemas de sineronismo de fase." Universidade de São Paulo, 1987. http://www.teses.usp.br/teses/disponiveis/3/3139/tde-31032017-082016/.

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Aplica-se a Teoria Qualitativa de Equações Diferenciais aos problemas de sincronismo de fase, associando às diversas regiões do espaço de parâmetros os tipos de atratores esperados. <p style=\"margin: 11px 0px;\">Três casos básicos são estudados: <ol type=\"i\" style=\"padding: 0px 40px\"> Malha de Sincronismo de fase Autônoma de 2ª Ordem Modulação em Frequência Acidental em Malha de Sincronismo de Fase de 2ª Ordem Malha de Sincronismo de Fase Autônoma de 3ª Ordem <p style=\"margin: 11px 0px;\">No caso (i), usando resultados clássicos da teoria de sistemas dinâmicos, discute-se os pontos de e
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42

Guillet, Christophe. "INSTABILITE DE SYSTEMES HAMILTONIENS AU SENS DE CHIRIKOV ET BIFURCATION DANS UN PROBLEME D' EVOLUTION NON LINEAIRE ISSU DE LA PHYSIQUE." Phd thesis, Université de Franche-Comté, 2004. http://tel.archives-ouvertes.fr/tel-00011975.

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Nous mettons en évidence une condition géométrico-dynamique minimale créant de l'hyperbolicité au voisinage d'un tore homocline transverse partiellement hyperbolique dans un système Hamiltonien presque intégrable à trois degrés de liberté. On en déduit une généralisation du théorème de dynamique symbolique d'Easton. Nous donnons ensuite une estimation optimale du temps de diffusion d'Arnold le long d'une chaîne de transition dans les systèmes Hamiltoniens initialement hyperboliques à trois degrés de liberté en utilisant une chaîne d'orbites périodiques hyperboliques sous-jacente. <br />Nous dé
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43

Moreira, Ana Claudia da Silva. "Técnicas de bifurcação para o problema de Yamabe em variedades com bordo." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-11032016-162814/.

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Apresentaremos alguns resultados de rigidez e de bifurcação para soluções do problema de Yamabe em variedades produto com bordo.<br>We will discuss some rigidity and bifurcation results for solutions of the Yamabe problem in product manifolds with boundary.
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44

LOPES, Juscelino Grigório. "Finitude genérica de classes de equilíbrios relativos no problema de quatro copos." Universidade Federal de Pernambuco, 2016. https://repositorio.ufpe.br/handle/123456789/17992.

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Submitted by Fabio Sobreira Campos da Costa (fabio.sobreira@ufpe.br) on 2016-10-17T12:54:09Z No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) DISSERTAÇÃO.pdf: 748406 bytes, checksum: 38823ef856511061a7f5ab9ed7049e37 (MD5)<br>Made available in DSpace on 2016-10-17T12:54:09Z (GMT). No. of bitstreams: 2 license_rdf: 1232 bytes, checksum: 66e71c371cc565284e70f40736c94386 (MD5) DISSERTAÇÃO.pdf: 748406 bytes, checksum: 38823ef856511061a7f5ab9ed7049e37 (MD5) Previous issue date: 2016-02-26<br>CNPq<br>Neste trabalho, estudaremos o conjunto de equil
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45

Hassainia, Zineb. "Dynamique des tourbillons pour quelques modèles de transport non-linéaires." Thesis, Rennes 1, 2015. http://www.theses.fr/2015REN1S016/document.

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Cette thèse est consacrée à l'étude théorique de quelques modèles d'évolution non-linéaires issus de la mécanique des fluides. Nous distinguons trois parties indépendantes. La première partie de la thèse traite essentiellement de l'existence des poches de tourbillon en rotation uniforme (appelées aussi V-states) pour un modèle quasi-géostrophique non visqueux. Notre étude est répartie sur deux chapitres où les poches présentent des structures topologiques différentes. Dans le premier chapitre nous étudions le cas simplement connexe et nous validons l'existence de ces structures dans un voisina
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46

Hur, Seok. "Extension de la théorie de Bautin à des dimensions supérieures : notion de centre et structure de composition." Paris 6, 2003. http://www.theses.fr/2003PA066162.

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47

Djabella, Karima. "Modélisation de l’activité électrique du coeur et de sa régulation par le système nerveux autonome." Paris 11, 2008. http://www.theses.fr/2008PA112083.

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Nous avons développé un modèle de l'activité électrique cardiaque cellulaire dont la structure est moins complexe, sans pour autant affecter les caractéristiques essentielles (potentiel d’action, principaux courants ioniques, courbe de restitution). En outre, nous avons utilisé la même structure de modèle pour représenter l'activité électrique des divers types de cellules cardiaques. Cela permettra de déterminer des régions cardiaques de façon paramétrique et simplifiera l'identification des paramètres dans les modèles numériques de cœur. Par ailleurs, l'analyse de bifurcation nous a permis de
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48

Littig, Samuel. "The Eigenvalue Problem of the 1-Laplace Operator." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-161044.

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As a first aspect the thesis treats existence results of the perturbed eigenvalue problem of the 1-Laplace operator. This is done with the aid of a quite general critical point theory results with the genus as topological index. Moreover we show that the eigenvalues of the perturbed 1-Laplace operator converge to the eigenvalues of the unperturebed 1-Laplace operator when the perturbation goes to zero. As a second aspect we treat the eigenvalue problems of the vectorial 1-Laplace operator and the symmetrized 1-Laplace operator. And as a third aspect certain related parabolic problems are consi
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49

SILVA, Kaye Oliveira da. "Existência e multiplicidade de soluções de problemas de contorno elípticos de quarta ordem via métodos topológicos." Universidade Federal de Goiás, 2012. http://repositorio.bc.ufg.br/tede/handle/tde/1951.

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Made available in DSpace on 2014-07-29T16:02:19Z (GMT). No. of bitstreams: 1 Dissertacao Kaye O da Silva.pdf: 935849 bytes, checksum: 3342ffadf63161660c1795053815a170 (MD5) Previous issue date: 2012-02-24<br>In this work, we employ topological methods in order to study existence and multiplicity of solutions, of nonlinear boundary value problems of the fourth order. More precisely, we make use of results on connected components of fixed points, as well as global bifurcation, to show existence and multiplicity of weak solutions of Partial Differential Equations, involving the Biharmonic opera
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50

Santos, Mayk Joaquim dos. "Estudo qualitativo de campos suaves por partes via problema de perturbação singular." Universidade Federal de Goiás, 2017. http://repositorio.bc.ufg.br/tede/handle/tede/6852.

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Submitted by Luciana Ferreira (lucgeral@gmail.com) on 2017-02-16T11:16:03Z No. of bitstreams: 2 Dissertação - Mayk Joaquim dos Santos - 2017.pdf: 2151565 bytes, checksum: 0afafa6be7f2f9c3ee2a27ca9bf4bf24 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2017-02-16T11:16:36Z (GMT) No. of bitstreams: 2 Dissertação - Mayk Joaquim dos Santos - 2017.pdf: 2151565 bytes, checksum: 0afafa6be7f2f9c3ee2a27ca9bf4bf24 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5)<br>Made
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