Quasilinear elliptic equations involving the N-Laplacian with critical exponential growth in RN

被引：30
|
作者：
Wang, Youjun [1 ]
Yang, Jun [2 ]
Zhang, Yimin [2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] S China Univ Technol, Dept Math, Guangzhou 510640, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Quasilinear elliptic equations; Critical exponential growth; Trudinger-Morser equality; CONCENTRATION-COMPACTNESS PRINCIPLE; SCHRODINGER-EQUATIONS; SOLITON-SOLUTIONS; EXISTENCE; CALCULUS;
D O I：
10.1016/j.na.2009.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper shows the existence of nontrivial solutions for the quasilinear equations of the form -Delta(N)u + V(x)vertical bar u vertical bar(N-2)u - Delta(N)(u(2))u = h(u) in R-N, where Delta(N) is the N-Laplacian operator, V is a continuous function bounded from below away from zero and h(u) is a continuous function having critical exponential growth. Crown Copyright (C) 2009 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：6157 / 6169
页数：13
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