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

页码：6157 / 6169

页数：13

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