Topological degree methods for a Strongly nonlinear p(x)-elliptic problem-Reference-Cited by-同舟云学术

Topological degree methods for a Strongly nonlinear p(x)-elliptic problem

Published:2019-01-01 Issue:1 Volume:53 Page:27-39
ISSN:2357-4100
Container-title:Revista Colombiana de Matemáticas
language:
Short-container-title:rev.colomb.mat

Author:

Hammou Mustapha Ait,Azroul Elhoussine,Lahmi Badr

Abstract

This article is devoted to study the existence of weak solutions for the strongly nonlinear p(x)-elliptic problem Our technical approach is based on the recent Berkovits topological degree.

Publisher

Universidad Nacional de Colombia

Subject

General Mathematics

Reference19 articles.

1. R. Alsaedi, Perturbed subcritical Dirichlet problems with variable exponents, Elec. J. of Dif. Equ. 2016 (2016), no. 295, 1-12.

2. J. Berkovits, Extension of the Leray-Schauder degree for abstract Hammerstein type mappings, J.Differ.Equ. 234 (2007), 289-310.

3. G. Bonanno and A. Chinnì, Discontinuous elliptic problems involving the p(x)-laplacian, Math.Nachr. 284 (2011), no. 5-6, 639-652.

4. G. Bonanno and A. Chinnì, Multiple solutions for elliptic problems involving the p(x)-laplacian, Matematiche (Catania) 66 (2011), no. 1, 105-113.

5. G. Bonanno and A. Chinnì, Existence results of infinitely many solutions for p(x)-laplacian elliptic Dirichlet problems, Complex Var. Elliptic Equ. 57 (2012), no. 11, 1233-1246.

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence;Complex Variables and Elliptic Equations;2021-02-22

2. Existence result for a nonlinear elliptic problem by topological degree in Sobolev spaces with variable exponent;Moroccan Journal of Pure and Applied Analysis;2020-11-22

3. Topological degree methods for a Neumann problem governed by nonlinear elliptic equation;Moroccan Journal of Pure and Applied Analysis;2020-10-02