Multiple Solutions for Nonvariational Quasilinear Elliptic Systems

被引：0

作者：

Dumitru Motreanu

Abdelkrim Moussaoui

Denilson S. Pereira

机构：

[1] Université de Perpignan,Département de Mathématiques

[2] A. Mira Bejaia University,Biology Department

[3] Unidade Acadêmica de Matemática,Universidade Federal de Campina Grande

来源：

Mediterranean Journal of Mathematics | 2018年 / 15卷

关键词：

Quasilinear elliptic system; p-Laplacian; multiple solutions; sub-supersolution; Leray–Schauder topological degree; Primary 35J57; Secondary 35J92;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish the existence of at least three nontrivial solutions for a nonvariational quasilinear elliptic system with homogeneous Dirichlet boundary condition. Two of these solutions are of opposite constant sign and the third one is nodal in an appropriate sense provided that a suitable location occurs. The approach combines the methods of sub-supersolution and Leray–Schauder topological degree.

引用

共 50 条

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