Relevant bibliographies by topics / P(x)-laplacian equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'P(x)-laplacian equation'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "P(x)-laplacian equation"

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Luo, Huxiao, Shengjun Li, and Xianhua Tang. "Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods." Advances in Mathematical Physics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/5317213.

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We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u), x∈RN, where N,p≥2, α∈(0,1), (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi for i=1,2,…,N. Our main difficulty is that the weak limit of (PS) sequence is not always the weak solution of fractional p-Laplacian type equation. To overcome this difficulty, by adding coercive potential term and using mountain pass theorem, we get the weak solution uλ of perturbation equations. And we prove that uλ→u as λ→0. Finally, by using va
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Marcos, Aboubacar, and Ambroise Soglo. "Existence of Positive Solutions and Asymptotic Behavior for Evolutionary q(x)-Laplacian Equations." Discrete Dynamics in Nature and Society 2020 (July 25, 2020): 1–23. http://dx.doi.org/10.1155/2020/9756162.

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In this paper, we extend the variational method of M. Agueh to a large class of parabolic equations involving q(x)-Laplacian parabolic equation ∂ρt,x/∂t=divxρt,x∇xG′ρ+Vqx−2∇xG′ρ+V. The potential V is not necessarily smooth but belongs to a Sobolev space W1,∞Ω. Given the initial datum ρ0 as a probability density on Ω, we use a descent algorithm in the probability space to discretize the q(x)-Laplacian parabolic equation in time. Then, we use compact embedding W1,q.Ω↪↪Lq.Ω established by Fan and Zhao to study the convergence of our algorithm to a weak solution of the q(x)-Laplacian parabolic equ
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ElHammar, Hassnae, Mohamed El Ouaarabi, Chakir Allalou, and Said Melliani. "P(x,・)-Kirchhoff type problem involving the fractional p(x)-Laplacian operator with discontinuous nonlinearities." Filomat 38, no. 6 (2024): 2109–25. http://dx.doi.org/10.2298/fil2406109h.

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The purpose of this paper is mainly to investigate the existence of weak solution of the stationary Kirchhoff type equations driven by the fractional p(x)-Laplacian operator with discontinuous nonlinearities for a class of elliptic Dirichlet boundary value problems. By using the topological degree based on the abstract Hammerstein equation, we conduct our existence analysis. The fractional Sobolev space with variable exponent provides an effective functional framework for these situations.
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Zhong, Yansheng. "A Concentration Phenomenon for p-Laplacian Equation." Journal of Applied Mathematics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/148902.

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It is proved that if the bounded function of coefficientQnin the following equation -div ⁡{|∇u|p-2∇u}+V(x)|u|p-2u=Qn(x)|u|q-2u, u(x)=0 as x∈∂Ω. u(x)⟶0 as |x|⟶∞is positive in a region contained in Ω and negative outside the region, the sets{Qn>0}shrink to a pointx0∈Ωasn→∞, and then the sequenceungenerated by the nontrivial solution of the same equation, corresponding toQn, will concentrate atx0with respect toW01,p(Ω)and certainLs(Ω)-norms. In addition, if the sets{Qn>0}shrink to finite points, the corresponding ground states{un}only concentrate at one of these points. These conclusions ex
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Luo, Huxiao, Shengjun Li, and Wenfeng He. "Non-Nehari Manifold Method for Fractional p-Laplacian Equation with a Sign-Changing Nonlinearity." Journal of Function Spaces 2018 (July 18, 2018): 1–5. http://dx.doi.org/10.1155/2018/7935706.

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We consider the following fractional p-Laplacian equation: -Δpαu+V(x)up-2u=f(x,u)-Γ(x)uq-2u, x∈RN, where N≥2, pα⁎>q>p≥2, α∈(0,1), -Δpα is the fractional p-Laplacian, and Γ∈L∞(RN) and Γ(x)≥0 for a.e. x∈RN. f has the subcritical growth but higher than Γ(x)uq-2u; however, the nonlinearity f(x,u)-Γ(x)uq-2u may change sign. If V is coercive, we investigate the existence of ground state solutions for p-Laplacian equation.
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Alsaedi, R., K. Ben Ali, and A. Ghanmi. "Existence Results for Singular p(x)-Laplacian Equation." Advances in Pure and Applied Mathematics 13, no. 3 (2022): 62–71. http://dx.doi.org/10.21494/iste.op.2022.0840.

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Figueiredo, Giovany, and Calogero Vetro. "The existence of solutions for the modified ( p ( x ) , q ( x ) ) -Kirchhoff equation." Electronic Journal of Qualitative Theory of Differential Equations, no. 39 (2022): 1–16. http://dx.doi.org/10.14232/ejqtde.2022.1.39.

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We consider the Dirichlet problem − Δ p ( x ) K p u ( x ) − Δ q ( x ) K q u ( x ) = f ( x , u ( x ) , ∇ u ( x ) ) in Ω , u | ∂ Ω = 0 , driven by the sum of a p ( x ) -Laplacian operator and of a q ( x ) -Laplacian operator, both of them weighted by indefinite (sign-changing) Kirchhoff type terms. We establish the existence of weak solution and strong generalized solution, using topological tools (properties of Galerkin basis and of Nemitsky map). In the particular case of a positive Kirchhoff term, we obtain the existence of weak solution ( = strong generalized solution), using the properties
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GE, BIN. "Sign changing solutions of the p(x)-Laplacian equation." Proceedings - Mathematical Sciences 123, no. 4 (2013): 515–24. http://dx.doi.org/10.1007/s12044-013-0150-7.

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Zhan, Hua-shui. "Evolutionary p(x)-Laplacian Equation with a Convection Term." Acta Mathematicae Applicatae Sinica, English Series 35, no. 3 (2019): 655–70. http://dx.doi.org/10.1007/s10255-019-0842-6.

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Hsu, Tsing-San, and Huei-Li Lin. "Multiplicity of Positive Solutions for ap-q-Laplacian Type Equation with Critical Nonlinearities." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/829069.

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We study the effect of the coefficientf(x)of the critical nonlinearity on the number of positive solutions for ap-q-Laplacian equation. Under suitable assumptions forf(x)andg(x), we should prove that for sufficiently smallλ>0, there exist at leastkpositive solutions of the followingp-q-Laplacian equation,-Δpu-Δqu=fxu|p*-2u+λgxu|r-2u in Ω,u=0 on ∂Ω,whereΩ⊂RNis a bounded smooth domain,N>p,1<q<N(p-1)/(N-1)<p≤max⁡{p,p^*-q/(p-1)}<r<p^*,p^*=Np/(N-p)is the critical Sobolev exponent, andΔsu=div(|∇u|s-2∇uis thes-Laplacian ofu.
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Dissertations / Theses on the topic "P(x)-laplacian equation"

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Eser, Mehmet. "Shape metamorphism using p -Laplacian equation." abstract and full text PDF (free order & download UNR users only), 2005. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1433292.

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Pudipeddi, Sridevi. "Localized Radial Solutions for Nonlinear p-Laplacian Equation in RN." Thesis, University of North Texas, 2008. https://digital.library.unt.edu/ark:/67531/metadc6059/.

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We establish the existence of radial solutions to the p-Laplacian equation ∆p u + f(u)=0 in RN, where f behaves like |u|q-1 u when u is large and f(u) < 0 for small positive u. We show that for each nonnegative integer n, there is a localized solution u which has exactly n zeros. Also, we look for radial solutions of a superlinear Dirichlet problem in a ball. We show that for each nonnegative integer n, there is a solution u which has exactly n zeros. Here we give an alternate proof to that which was given by Castro and Kurepa.
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Pudipeddi, Sridevi Iaia Joseph A. "Localized radial solutions for nonlinear p-laplacian equation in R[superscript N]." [Denton, Tex.] : University of North Texas, 2008. http://digital.library.unt.edu/permalink/meta-dc-6059.

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Khanfar, Abeer. "Multiple Solutions on a Ball for a Generalized Lane Emden Equation." ScholarWorks@UNO, 2008. http://scholarworks.uno.edu/td/901.

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In this work we study the Generalized Lane-Emden equation and the interplay between the exponents involved and their consequences on the existence and non existence of radial solutions on a unit ball in n dimensions. We extend the analysis to the phase plane for a clear understanding of the behavior of solutions and the relationship between their existence and the growth of nonlinear terms, where we investigate the critical exponent p and a sub-critical exponent, which we refer to as ^p. We discover a structural change of solutions due the existence of this sub-critical exponent which we relat
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Ramos, Thiago Williams Siqueira. "Quasilinear Elliptic Problems with multiple regions of singularities and convexities for the p(x)-Laplacian operator." reponame:Repositório Institucional da UnB, 2017. http://repositorio.unb.br/handle/10482/32209.

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Tese (doutorado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2017.<br>Submitted by Raquel Viana (raquelviana@bce.unb.br) on 2018-07-03T19:05:00Z No. of bitstreams: 1 2017_ThiagoWilliamsSiqueiraRamos.pdf: 886895 bytes, checksum: a7e4b17e0eca63c609ceff5b642067e2 (MD5)<br>Approved for entry into archive by Raquel Viana (raquelviana@bce.unb.br) on 2018-07-09T18:59:32Z (GMT) No. of bitstreams: 1 2017_ThiagoWilliamsSiqueiraRamos.pdf: 886895 bytes, checksum: a7e4b17e0eca63c609ceff5b642067e2 (MD5)<br>Made available in DSpace on 2018-07-09T18:59:33Z (GMT). No. of
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Childers, Kristen Snyder. "Generalizations of a Laplacian-Type Equation in the Heisenberg Group and a Class of Grushin-Type Spaces." Scholar Commons, 2011. http://scholarcommons.usf.edu/etd/3042.

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In [2], Beals, Gaveau and Greiner find the fundamental solution to a 2-Laplace-type equation in a class of sub-Riemannian spaces. This fundamental solution is based on the well-known fundamental solution to the p-Laplace equation in Grushin-type spaces [4] and the Heisenberg group [6]. In this thesis, we look to generalize the work in [2] for a p-Laplace-type equation. After discovering that the "natural" generalization fails, we find two generalizations whose solutions are based on the fundamental solution to the p-Laplace equation.
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Barreiro, José Lindomberg Possiano. "Existência e multiplicidade de soluções para uma classe de problemas quaselineares envolvendo expoentes variáveis." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7423.

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Made available in DSpace on 2015-05-15T11:46:16Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 6098546 bytes, checksum: f3f577101600c726f33d527b14f716e7 (MD5) Previous issue date: 2014-02-24<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this work, we will use the Mountain Pass Theorem for an even Functional, Genus Theory, Ekeland's variational principle and some properties involving Nehari manifolds to obtain existence and multiplicity of solutions for the following class of quasilinear problems involving variable exponents 8<: p(x)u + jujp(x)2u = f(x; u
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Ferreira, Marcelo Carvalho. "Existência de soluções via métodos variacionais para uma classe de problemas quasilineares com expoentes variáveis." Universidade Federal da Paraí­ba, 2014. http://tede.biblioteca.ufpb.br:8080/handle/tede/7434.

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Made available in DSpace on 2015-05-15T11:46:19Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 1007353 bytes, checksum: 6d3a56556bfe678274eda50fb3c8ebf1 (MD5) Previous issue date: 2014-02-22<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES<br>In this thesis we establish existence and multiplicity results for solutions to some classes of problems on RN involving the p(x)-Laplacian operator. In the first part, we consider classes of problems dealing with nonlinearities possessing critical growth. Ultimately, we consider a class of problems with a nonlinearity possess
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Paciência, Alan Kardec Reis. "Estabilidade assintótica para um modelo dissipativo de equação de placas com p - Laplaciano e termo memória." Universidade Federal do Maranhão, 2017. http://tedebc.ufma.br:8080/jspui/handle/tede/1732.

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Submitted by Rosivalda Pereira (mrs.pereira@ufma.br) on 2017-07-05T21:25:08Z No. of bitstreams: 1 AlanPaciencia.pdf: 382837 bytes, checksum: 5f9c9a1520895e9d9b37a6549ee31251 (MD5)<br>Made available in DSpace on 2017-07-05T21:25:08Z (GMT). No. of bitstreams: 1 AlanPaciencia.pdf: 382837 bytes, checksum: 5f9c9a1520895e9d9b37a6549ee31251 (MD5) Previous issue date: 2017-01-05<br>In this work, we study situations involving the existence, uniqueness, decay rates and asymptotic behavior of solutions for a class of nonlinear equations cards and memory. In particular, in the first chapter we revie
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Campos, Fabio Antonio Araujo de. "Existência e não existência de soluções globais para uma equação de onda do tipo p-Laplaciano." Universidade de São Paulo, 2010. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-13052010-162940/.

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Neste trabalho estudamos a equação de ondas do tipo p-Laplaciano \'u IND. tt\' - \'DELTA\' IND.p u + \'(- \'DELTA\' POT. alpha\' u IND. t\' = \' [u] POT.q - 2 u, definida num domínio limitado limitado do \'R POT. n\', com 2 \' > ou = \' p < q e 0 < \' alpha\' < 1. Utilizando o método de Faedo-Galerkin provamos a existência de soluções fracas globais para dados iniciais pequenos. Para essas soluções estudamos também o decaimento polinomial da energia associada. A questão da não existência de soluções globais é considerada para o caso em que a energia inicial do sistema é negativa<br>In this wo
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Books on the topic "P(x)-laplacian equation"

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Sherwood, Dennis, and Paul Dalby. Thermodynamics and mathematics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198782957.003.0004.

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Most school mathematics is about how one variable, y, varies with respect to one other variable, x, according to an equation such as y = 3x2. Equations like this underpin the student’s knowledge of algebra, and differential and integral calculus. Thermodynamics, however, is necessarily about how a variable, such as the pressure P, varies with respect not to one but to three variables simultaneously – for example, the mole number n, the volume V, and the temperature T. This makes the algebra of thermodynamics more complex, and also implies that mutual changes between pairs of variables is descr
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Skiba, Grzegorz. Fizjologiczne, żywieniowe i genetyczne uwarunkowania właściwości kości rosnących świń. The Kielanowski Institute of Animal Physiology and Nutrition, Polish Academy of Sciences, 2020. http://dx.doi.org/10.22358/mono_gs_2020.

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Bones are multifunctional passive organs of movement that supports soft tissue and directly attached muscles. They also protect internal organs and are a reserve of calcium, phosphorus and magnesium. Each bone is covered with periosteum, and the adjacent bone surfaces are covered by articular cartilage. Histologically, the bone is an organ composed of many different tissues. The main component is bone tissue (cortical and spongy) composed of a set of bone cells and intercellular substance (mineral and organic), it also contains fat, hematopoietic (bone marrow) and cartilaginous tissue. Bones a
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Book chapters on the topic "P(x)-laplacian equation"

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Antontsev, Stanislav, and Sergey Shmarev. "Wave Equation with $$p(x,t)$$ p ( x , t ) -Laplacian." In Atlantis Studies in Differential Equations. Atlantis Press, 2015. http://dx.doi.org/10.2991/978-94-6239-112-3_11.

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Alkhutov, Yury, Mikhail Borsuk, and Sebastian Jankowski. "Boundary Value Problems for the Singular p- and p(x)-Laplacian Equations in a Cone." In Trends in Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72640-3_1.

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Borsuk, Mikhail. "Interface Oblique Derivative Problem for Perturbed $$p(x)$$-Laplacian Equation in a Bounded n-Dimensional Cone." In Frontiers in Mathematics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-64091-9_9.

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Borsuk, Mikhail. "The Oblique Derivative Problem in a Plane Sector for Elliptic Second Order Equation with Perturbed p(x)-Laplacian." In Oblique Derivative Problems for Elliptic Equations in Conical Domains. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-28381-9_9.

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Borsuk, Mikhail. "The Robin Problem for Quasi-Linear Elliptic Equation p(x)-Laplacian in a Domain with Conical Boundary Point." In Trends in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-87502-2_23.

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Alves, Claudianor O., and Marco A. S. Souto. "Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian." In Progress in Nonlinear Differential Equations and Their Applications. Birkhäuser Basel, 2005. http://dx.doi.org/10.1007/3-7643-7401-2_2.

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Ahlem, Merah, and Mesloub Fatiha. "Existence and Uniqueness of Solutions for Nonlinear Viscoelastic Plate Equation with $$\mathop {p}\limits ^{\rightarrow }(x,t)-$$ Laplacian Operator and Delay." In Lecture Notes in Networks and Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-12416-7_7.

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Borsuk, Mikhail. "The Oblique Derivative Problem in a Bounded n-Dimensional Cone for Strong Quasi-Linear Elliptic Second Order Equation with Perturbed p(x)-Laplacian." In Oblique Derivative Problems for Elliptic Equations in Conical Domains. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-28381-9_10.

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Karagiorgos, Yiannis, and Nikos Yannakakis. "A Tour on p(x)-Laplacian Problems When p = ∞." In Mathematical Analysis, Approximation Theory and Their Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31281-1_15.

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Chen, Guangxia. "Pullback Attractor for Non-autonomous P-Laplacian Equation in Unbounded Domain." In Advances in Intelligent and Soft Computing. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22833-9_57.

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Conference papers on the topic "P(x)-laplacian equation"

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Fan, Xian-Ling. "p(x)–Laplacian equations." In Proceedings of the ICM 2002 Satellite Conference on Nonlinear Functional Analysis. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704283_0012.

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Narayanan, Lakshmipriya, and Gnanavel Soundararajan. "Nonexistence of global solutions of a viscoelastic p(x)-Laplacian equation with logarithmic nonlinearity." In INTERNATIONAL CONFERENCE ON ADVANCES IN MULTI-DISCIPLINARY SCIENCES AND ENGINEERING RESEARCH: ICAMSER-2021. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0095323.

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Ge Cong, M. Esser, B. Parvin, and G. Bebis. "Shape metamorphism using p-Laplacian equation." In Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004. IEEE, 2004. http://dx.doi.org/10.1109/icpr.2004.1333694.

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Bendahmane, M., M. Chrif, and S. El Manouni. "Existence and multiplicity results for some p(x)-Laplacian Neumann problems." In Proceedings of the Conference in Mathematics and Mathematical Physics. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814295574_0014.

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Li, Zhiyan. "New existence criteria for periodic solution to a Duffing p-Laplacian-Like equation." In 2015 International Conference on Advances in Mechanical Engineering and Industrial Informatics. Atlantis Press, 2015. http://dx.doi.org/10.2991/ameii-15.2015.80.

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Aprahamian, Meline, and Stepan Tersian. "Solutions of the Dirichlet problem for a fourth-order p-Laplacian differential equation." In THERMOPHYSICAL BASIS OF ENERGY TECHNOLOGIES (TBET 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0042055.

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Dianwu, Yang, Cao Fengjuan, and Han Zhenlai. "Some Results for the Existence of Periodic Solutions to p-Laplacian Equation on Time Scales." In 2015 AASRI International Conference on Circuits and Systems (CAS 2015). Atlantis Press, 2015. http://dx.doi.org/10.2991/cas-15.2015.56.

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Hong-Ling Lu and Zhen-Lai Han. "Existence of positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator." In 2012 International Conference on Computer Science and Information Processing (CSIP). IEEE, 2012. http://dx.doi.org/10.1109/csip.2012.6308921.

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Hameed, Raad A., Maan A. Rasheed, Ogada E. Achieng, and Wafaa M. Taha. "On the existence of periodic solutions to a p-Laplacian Allen-Cahn equation with Neumann boundary condition." In PROCEEDING OF THE 1ST INTERNATIONAL CONFERENCE ON ADVANCED RESEARCH IN PURE AND APPLIED SCIENCE (ICARPAS2021): Third Annual Conference of Al-Muthanna University/College of Science. AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0093631.

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Ping, Fang, Zhou Yu-zhong, and Zhang Xin. "On Positive Definite Solutions of the Nonlinear Matrix Equation X+A*X^(-1)A=P." In 2010 International Conference on Innovative Computing and Communication and 2010 Asia-Pacific Conference on Information Technology and Ocean Engineering. IEEE, 2010. http://dx.doi.org/10.1109/cicc-itoe.2010.99.

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