Non-autonomous perturbations for a class of quasilinear elliptic equations on R

被引：11

作者：

Alves, M. J. ^{[2
]}

Carriao, P. C. ^{[2
]}

Miyagaki, O. H. ^{[1
]}

机构：

[1] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG, Brazil

[2] Univ Fed Minas Gerais, Dept Matemat, BR-30161970 Belo Horizonte, MG, Brazil

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 01期

关键词：

non-autonomous perturbations; Schrodinger equation; p-Laplacian; variational method;

D O I：

10.1016/j.jmaa.2008.02.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of two positive solutions for a class of quasilinear elliptic equations on R involving the p-Laplacian, with a non-autonomous perturbation. The first solution is obtained as a local minimum in a neighborhood of 0 and the second one by a mountain-pass argument. The special features of the problem here is the "complex" structure of the linear part which, in particular, oblige to work into the space W-1,W- (p) (R). Then one faces problems in the convergence of the sequences of derivatives u'(n) -> u. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：186 / 203

页数：18

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