Results 11 to 20 of about 89,789 (287)

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

The Existence of Entropy Solutions for an Elliptic Problems Involving Variable Exponent

Journal of Harbin University of Science and Technology, 2022
In order to study the entropy solution of a class of quasilinear elliptic equations with variable exponents, first, the approximation problem of elliptic equations is established under weak operator conditions, and then the Sobolev embedding theorem ...
LU Yue-ming, LIU Yang
doaj   +1 more source

Radial solutions of the Dirichlet problem for a class of quasilinear elliptic equations arising in optometry

Nonlinear Analysis, 2018
Chiara Corsato, Colette De Coster, Noemi Flora, Pierpaolo Omari   +3 more
openalex   +3 more sources

Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth

Proceedings of the American Mathematical Society, 2021
We provide an optimal global Calderón-Zygmund theory for quasilinear elliptic equations of a very general form with Orlicz growth on bounded nonsmooth domains under minimal regularity assumptions of the nonlinearity A = A ( x , u , D u )
Sumiya Baasandorj, Sun-Sig Byun, Ho-Sik Lee   +2 more
semanticscholar   +1 more source

Harnack's inequality for quasilinear elliptic equations with generalized Orlicz growth [PDF]

Electronic Journal of Differential Equations, 2020
We prove Harnack's inequality for bounded weak solutions to quasilinear second order elliptic equations with generalized Orlicz growth conditions. Our approach covers new cases of variable exponent and (p,q) growth conditions.
M. Shan, I. Skrypnik, M. Voitovych
semanticscholar   +1 more source

Positive Solutions for Perturbed Fractional p-Laplacian Problems

Fractal and Fractional, 2022
In this article, we consider a class of quasilinear elliptic equations involving the fractional p-Laplacian, in which the nonlinear term satisfies subcritical or critical growth.
Mengfei Tao, Binlin Zhang
doaj   +1 more source

Weak solutions for a system of quasilinear elliptic equations [PDF]

, 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. Ragusa, A. Razani
semanticscholar   +1 more source

Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]

Opuscula Mathematica, 2019
In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
doaj   +1 more source

Unique continuation for degenerate quasilinear equations and sum operators

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020
We prove unique continuation property for positive solutions of some quasilinear degenerate elliptic equations.
Giuseppe Di Fazio, Maria S. Fanciullo, Pietro Zamboni   +2 more
doaj   +1 more source

Up-to-Boundary Pointwise Gradient Estimates for Very Singular Quasilinear Elliptic Equations with Mixed Data

Advanced Nonlinear Studies, 2021
This paper establishes pointwise estimates up to boundary for the gradient of weak solutions to a class of very singular quasilinear elliptic equations with mixed ...
Do Tan Duc, Truong Le Xuan, Trong Nguyen Ngoc   +2 more
doaj   +1 more source