A multiplicity theorem for problems with the p-Laplacian

被引：12
|
作者：
Motreanu, D. [1 ]
Motreanu, V. V. [1 ]
Papageorgiou, N. S. [2 ]
机构：
[1] Univ Perpignan, Dept Math, F-66860 Perpignan, France
[2] Natl Tech Univ Athens, Dept Math, GR-15780 Athens, Greece
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 04期
关键词：
elliptic boundary value problem; p-Laplacian; multiple nontrivial solutions; operator of type (S)(+); degree map; weighted eigenvalue problem;
D O I：
10.1016/j.na.2006.12.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider nonlinear elliptic equations driven by the p-Laplacian differential operator. Using degree theoretic arguments based on the degree map for operators of type (S)(+), we prove the existence of two nontrivial smooth solutions, one of which is of constant sign. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：1016 / 1027
页数：12
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