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.
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页码：2095 / 2109
页数：15
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