Relevant bibliographies by topics / Fully-nonlinear elliptic PDE

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

Academic literature on the topic 'Fully-nonlinear elliptic PDE'

Author: Grafiati
Published: 4 June 2021
Last updated: 31 January 2023

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Journal articles on the topic "Fully-nonlinear elliptic PDE"

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Sirakov, Boyan. "Solvability of Uniformly Elliptic Fully Nonlinear PDE." Archive for Rational Mechanics and Analysis 195, no. 2 (May 6, 2009): 579–607. http://dx.doi.org/10.1007/s00205-009-0218-9.

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Ikoma, Norihisa, and Hitoshi Ishii. "Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 29, no. 5 (September 2012): 783–812. http://dx.doi.org/10.1016/j.anihpc.2012.04.004.

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KOIKE, Shigeaki, and Andrzej ŚWIĘCH. "Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients." Journal of the Mathematical Society of Japan 61, no. 3 (July 2009): 723–55. http://dx.doi.org/10.2969/jmsj/06130723.

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Ikoma, Norihisa, and Hitoshi Ishii. "Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls, II." Bulletin of Mathematical Sciences 5, no. 3 (July 25, 2015): 451–510. http://dx.doi.org/10.1007/s13373-015-0071-0.

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Ayanbayev, Birzhan, and Nikos Katzourakis. "On the Inverse Source Identification Problem in $L^{\infty }$ for Fully Nonlinear Elliptic PDE." Vietnam Journal of Mathematics 49, no. 3 (July 22, 2021): 815–29. http://dx.doi.org/10.1007/s10013-021-00515-6.

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AbstractIn this paper we generalise the results proved in N. Katzourakis (SIAM J. Math. Anal. 51, 1349–1370, 2019) by studying the ill-posed problem of identifying the source of a fully nonlinear elliptic equation. We assume Dirichlet data and some partial noisy information for the solution on a compact set through a fully nonlinear observation operator. We deal with the highly nonlinear nonconvex nature of the problem and the lack of weak continuity by introducing a two-parameter Tykhonov regularisation with a higher order L2 “viscosity term” for the $L^{\infty }$ L ∞ minimisation problem whi
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Barles, G., and Jérôme Busca. "EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*." Communications in Partial Differential Equations 26, no. 11-12 (November 1, 2001): 2323–37. http://dx.doi.org/10.1081/pde-100107824.

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Jensen, Robert, and Andrzej Świech. "Uniqueness and existence of maximal and minimal solutions of fully nonlinear elliptic PDE." Communications on Pure & Applied Analysis 4, no. 1 (2005): 199–207. http://dx.doi.org/10.3934/cpaa.2005.4.187.

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Caffarelli, Luis A., and Panagiotis E. Souganidis. "Rates of convergence for the homogenization of fully nonlinear uniformly elliptic pde in random media." Inventiones mathematicae 180, no. 2 (January 8, 2010): 301–60. http://dx.doi.org/10.1007/s00222-009-0230-6.

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Philippin, G. A., and A. Safoui. "Some applications of the maximum principle to a variety of fully nonlinear elliptic PDE?s." Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP) 54, no. 5 (September 1, 2003): 739–55. http://dx.doi.org/10.1007/s00033-003-3200-7.

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Katzourakis, Nikos. "On linear degenerate elliptic PDE systems with constant coefficients." Advances in Calculus of Variations 9, no. 3 (July 1, 2016): 283–91. http://dx.doi.org/10.1515/acv-2015-0004.

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AbstractLet ${\mathbf{A}}$ be a symmetric convex quadratic form on ${\mathbb{R}^{Nn}}$ and Ω $\subset$$\mathbb{R}^{n}$ a bounded convex domain. We consider the problem of existence of solutions u: Ω $\subset$$\mathbb{R}^{n}$$\to$$\mathbb{R}^{N}$ to the problem${}\left\{\begin{aligned} \displaystyle\sum_{\beta=1}^{N}\sum_{i,j=1}^{n}% \mathbf{A}_{\alpha i\beta j}D^{2}_{ij}u_{\beta}&\displaystyle=f_{\alpha}&&% \displaystyle\text{in }\Omega,\\ \displaystyle u&\displaystyle=0&&\displaystyle\text{on }\partial\Omega,\end{% aligned}\right.\phantom{\}}$when ${f\in L^{2}(\Omega,\
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Dissertations / Theses on the topic "Fully-nonlinear elliptic PDE"

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Guo, Sheng. "On Neumann Problems for Fully Nonlinear Elliptic and Parabolic Equations on Manifolds." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1571696906482925.

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von, Nessi Gregory Thomas, and greg vonnessi@maths anu edu au. "Regularity Results for Potential Functions of the Optimal Transportation Problem on Spheres and Related Hessian Equations." The Australian National University. Mathematical Sciences Institute, 2008. http://thesis.anu.edu.au./public/adt-ANU20081215.120059.

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In this thesis, results will be presented that pertain to the global regularity of solutions to boundary value problems having the general form \begin{align} F\left[D^2u-A(\,\cdot\,,u,Du)\right] &= B(\,\cdot\,,u,Du),\quad\text{in}\ \Omega^-,\notag\\ T_u(\Omega^-) &= \Omega^+, \end{align} where $A$, $B$, $T_u$ are all prescribed; and $\Omega^-$ along with $\Omega^+$ are bounded in $\mathbb{R}^n$, smooth and satisfying notions of c-convexity and c^*-convexity relative to one another (see [MTW05] for definitions). In particular, the case where $F$ is a quotient of symmetric functions of the eigen
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Chen, Huyuan. "Fully linear elliptic equations and semilinear fractionnal elliptic equations." Thesis, Tours, 2014. http://www.theses.fr/2014TOUR4001/document.

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Cette thèse est divisée en six parties. La première partie est consacrée à l'étude de propriétés de Hadamard et à l'obtention de théorèmes de Liouville pour des solutions de viscosité d'équations aux dérivées partielles elliptiques complètement non-linéaires avec des termes de gradient,<br>This thesis is divided into six parts. The first part is devoted to prove Hadamard properties and Liouville type theorems for viscosity solutions of fully nonlinear elliptic partial differential equations with gradient term
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Prazeres, Disson Soares dos. "Improved regularity estimates in nonlinear elliptic equations." Universidade Federal do CearÃ, 2014. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=13536.

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CoordenaÃÃo de AperfeÃoamento de Pessoal de NÃvel Superior<br>Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico<br>In this work we establish local regularity estimates for at solutions to non-convex fully nonlinear elliptic equations and we study cavitation type equations modeled within coef- icients bounded and measurable.<br>Neste trabalho estabelecemos estimativas de regularidade local para soluÃÃes "flat" de equaÃÃes elÃpticas totalmente nÃo-lineares nÃo-convexas e estudamos equations do tipo cavidade com coeficientes meramente mensurÃveis.
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von, Nessi Gregory Thomas. "Regularity Results for Potential Functions of the Optimal Transportation Problem on Spheres and Related Hessian Equations." Phd thesis, 2008. http://hdl.handle.net/1885/49370.

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In this thesis, results will be presented that pertain to the global regularity of solutions to a class of boundary value problems closely related to the Optimal Transportation Equation. Ultimately, analogies to the global regularity result presented in [TW06] for the Optimal Transportation Problem to this new fully-nonlinear elliptic boundary value problem will be presented and proven. It will also be shown that the A3w condition (first presented in [MTW05]) is also necessary for global regularity for this class of problems. The core part of this research lies in proving various a priori esti
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Book chapters on the topic "Fully-nonlinear elliptic PDE"

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Birindelli, Isabeau, Françoise Demengel, and Fabiana Leoni. "Dirichlet Problems for Fully Nonlinear Equations with “Subquadratic” Hamiltonians." In Contemporary Research in Elliptic PDEs and Related Topics, 107–27. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-18921-1_2.

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Conference papers on the topic "Fully-nonlinear elliptic PDE"

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KOIKE, SHIGEAKI. "RECENT DEVELOPMENTS ON MAXIMUM PRINCIPLE FOR Lp-VISCOSITY SOLUTIONS OF FULLY NONLINEAR ELLIPTIC/PARABOLIC PDES." In The International Conference on Reaction-Diffusion System and Viscosity Solutions. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812834744_0007.

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