Existence results for some nonlinear elliptic equations via topological degree methods

被引：18

作者：

Abbassi, Adil ^{[1
]}

Allalou, Chakir ^{[1
]}

Kassidi, Abderrazak ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab LMACS, FST Beni Mellal, Beni Mellal, Morocco

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2021年 / 7卷 / 01期

关键词：

Elliptic equations; Weighted Sobolev spaces; Hardy inequality; Topological degree; Weak solutions; DIFFUSION;

D O I：

10.1007/s41808-021-00098-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article is devoted to study the existence of weak solutions to a Dirichlet boundary value problem related to the following nonlinear elliptic equation -div(a(x,u, del u) - lambda g(x, u, del u) = b(x)vertical bar u vertical bar(q-2)u, where -div(a(x,u, del u) is a Leray-Lions operator acting from W-0(1,p)(Omega, w) to its dual W--1,W-p '(Omega, w*). On the nonlinear term g(x, s, eta), we only assume the growth condition on eta. Our approach is based on the topological degree introduced by Berkovits.

引用

页码：121 / 136

页数：16

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