Resonance problem of a class of singular quasilinear elliptic equations

被引：0

作者：

Jia, Gao ^{[1
]}

Li, Fanglan ^{[2
]}

Ding, Zhonghai ^{[3
]}

机构：

[1] Shanghai Univ Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

[2] Shanghai Med Instrumentat Coll, Dept Basic Sci, Shanghai 200093, Peoples R China

[3] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 10期

基金：

中国国家自然科学基金;

关键词：

35J50; 35H30; 35B34; resonance problem; weighted Sobolev space; singular quasiliner elliptic equation; near-eigenvalue;

D O I：

10.1080/00036811.2014.967231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the resonance problem of a class of singular quasilinear elliptic equations with respect to its higher near-eigenvalues. Under a generalized Landesman-Lazer condition, it is proved that the resonance problem admits at least one nontrivial solution in weighted Sobolev spaces. The proof is based upon applying the Galerkin-type technique, the Brouwer's fixed-point theorem and a compact embedding theorem of weighted Sobolev spaces by Shapiro.

引用

页码：2095 / 2109

页数：15

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