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
收藏
页码：2451 / 2462
页数：12
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