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Quasilinear elliptic equations with critical potentials [PDF]

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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The Calderón problem for quasilinear elliptic equations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2020
In this paper we show uniqueness of the conductivity for the quasilinear Calderón's inverse problem. The nonlinear conductivity depends, in a nonlinear fashion, of the potential itself and its gradient. Under some structural assumptions on the direct problem, a real-valued conductivity allowing a small analytic continuation to the complex plane induce ...
Muñoz Cerón, Claudio, Uhlmann, Gunther
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Weak solutions for a system of quasilinear elliptic equations [PDF]

Contributions to Mathematics, 2020
A system of quasilinear elliptic equations on an unbounded domain is considered. The existence of a sequence of radially symmetric weak solutions is proved via variational methods.
M. A. Ragusa, Abdolrahman Razani
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Existence of Solutions for Quasilinear Elliptic Equations

Journal of Mathematical Analysis and Applications, 1997
AbstractUsing variational methods we study the existence and multiplicity of solutions of the Dirichlet problem for the equation−div(a(|∇u|p)|∇u|p−2∇u)=f(x,u).
João Marcos do Ó
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High precision compact numerical approximation in exponential form for the system of 2D quasilinear elliptic BVPs on a discrete irrational region [PDF]

MethodsX, 2022
This article presents a new approximation of order four in exponential form for two-dimensional (2D) quasilinear partial differential equation (PDE) of elliptic form with solution domain being irrational.
R.K. Mohanty, Nikita Setia, Gunjan Khurana, Geetan Manchanda   +3 more
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Existence and concentration behavior of solutions for a class of quasilinear elliptic equations with critical growth

Advances in Nonlinear Analysis, 2017
In this paper, we study a class of quasilinear elliptic equations involving the Sobolev critical ...
Teng Kaimin, Yang Xiaofeng
doaj   +2 more sources

CONCAVITY, QUASICONCAVITY, AND QUASILINEAR ELLIPTIC EQUATIONS [PDF]

Taiwanese Journal of Mathematics, 2002
Quasiconcavity, the condition that the level sets of a positive graph are convex, is known to hold for solutions of certain semilinear equations. We survey some techniques that can be used to show quasiconcavity for solutions of quasilinear elliptic equations with form similar to the equation of constant mean curvature.
John McCuan
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A remark on entire solutions of quasilinear elliptic equations

Journal of Differential Equations, 2010
AbstractBy applying a main comparison theorem of Pucci and Serrin (2007) [2] we cover, for general equations of p-Laplace type, the open cases of Theorems B, D, E of Farina and Serrin (submitted for publication) [1] as described in Problems 2 and 3 of Section 12 of Farina and Serrin (submitted for publication) [1].
Patrizia Pucci, James Serrin
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Monotonicity of positive solutions to quasilinear elliptic equations in half-spaces with a changing-sign nonlinearity [PDF]

Calculus of Variations and Partial Differential Equations, 2021
In this paper we prove the monotonicity of positive solutions to -Δpu=f(u)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
F. Esposito, A. Farina, L. Montoro, B. Sciunzi   +3 more
semanticscholar   +1 more source

Bilateral estimates of solutions to quasilinear elliptic equations with sub-natural growth terms [PDF]

Advances in Calculus of Variations, 2021
We study quasilinear elliptic equations of the type - Δ p ⁢ u = σ ⁢ u q + μ {-\Delta_{p}u=\sigma u^{q}+\mu} in ℝ n {\mathbb{R}^{n}} in the case 0 < q < p - 1 ...
I. Verbitsky
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