Quasilinear elliptic problems under strong resonance conditions

被引：1

作者：

da Silva, Edcarlos D. ^{[1
]}

机构：

[1] Univ Fed Goias, BR-74001970 Goiania, Go, Brazil

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 08期

关键词：

Quasilinear elliptic equation; Strong resonance; Variational methods; Morse theory; Maximum principle; CRITICAL-POINT THEORY; P-LAPLACIAN; EQUATIONS; EXISTENCE; INFINITY;

D O I：

10.1016/j.na.2010.06.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish the existence and multiplicity of solutions for a quasilinear elliptic problem under strong resonance conditions at infinity. In order to control the resonance we consider a new hypothesis on the nonlinear term. In all results we use Variational Methods, Critical Groups and the Morse Theory. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：2451 / 2462

页数：12

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