Nonlinear Schrodinger equation with unbounded or decaying radial potentials involving exponential critical growth in R2

被引：53

作者：

Albuquerque, Francisco S. B. ^{[1
]}

Alves, Claudianor O. ^{[2
]}

Medeiros, Everaldo S. ^{[3
]}

机构：

[1] Univ Estadual Paraiba, Ctr Ciencias Exatas & Sociais Aplicadas, BR-58700070 Patos Pb, Brazil

[2] Univ Fed Campine Grande, Unidade Acad Matemat & Estat, BR-58429900 Campina Grande Pb, Brazil

[3] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 409卷 / 02期

关键词：

Nonlinear Schrodinger equation; Unbounded or decaying radial potentials; Exponential critical growth; Trudinger-Moser inequality; INEQUALITY;

D O I：

10.1016/j.jmaa.2013.07.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and multiplicity of solutions for the following class of nonlinear Schrodinger equations -Delta u + V(vertical bar x vertical bar)u = Q(vertical bar x vertical bar)f (u) in R-2, where V and Q are unbounded or decaying radial potentials and the nonlinearity f (s) has exponential critical growth. The approaches used here are based on a version of the Trudinger-Moser inequality and a minimax theorem. (C) 2013 Published by Elsevier Inc.

引用

页码：1021 / 1031

页数：11

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