Existence and multiplicity of solutions for anisotropic elliptic equations with variable exponent

被引：0

作者：

El Amrouss, Abdelrachid ^{[1
]}

El Mahraoui, Ali ^{[1
]}

机构：

[1] Univ Mohamed I, Fac Sci, Dept Math, Oujda, Morocco

来源：

ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2020年 / 47卷 / 02期

关键词：

Variable exponent Lebesgue space; anisotropic space; Mountain pass theorem; Ekeland's variational principle; SPACES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study the following nonlinear anisotropic elliptic equations (p){-Sigma(N)(i=1) partial derivative( xi) a(i)(x, partial derivative(xi) u) + b(x)vertical bar u vertical bar P-+(+) (-2)u = lambda(x) f (x, u) + mu(x)g(x, u) in Omega. u = 0 on partial derivative Omega. We set up that the problem (P) admits at least two weak solutions under suitable conditions.

引用

页码：252 / 266

页数：15

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