On a Quasilinear Elliptic Equation with Superlinear Nonlinearities

被引：0
|
作者：
Jia, Gao [1 ]
Huang, Lina [2 ]
Zhang, Xiaojuan [1 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] Xingwan Sch, Suzhou 215021, Jiangsu, Peoples R China
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Weighted Sobolev space; Superlinear; Quasilinear elliptic equation; RESONANCE;
D O I：
10.1007/s11401-016-0945-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is devoted to studying a quasilinear elliptic boundary value problem with superlinear nonlinearities in a weighted Sobolev space in a domain of R-N. Based on the Galerkin method, Brouwer's theorem and the weighted compact Sobolev-type embedding theorem, a new result about the existence of solutions is revealed to the problem.
引用
收藏
页码：309 / 322
页数：14
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