Multiplicity of nonnegative solutions for quasilinear Schrodinger equations

被引：9

作者：

Miyagaki, Olimpio H. ^{[1
]}

Moreira, Sandra Im. ^{[2
]}

Pucci, Patrizia ^{[3
]}

机构：

[1] Univ Fed Juiz de Fora, Dept Matemat, BR-36036330 Juiz De Fora, MG, Brazil

[2] Univ Estadual Maranhao, Dept Matemat & Informat, BR-65055900 Sao Luis, MA, Brazil

[3] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 434卷 / 01期

关键词：

Schrodinger operators; Variational methods; Supercritical exponents; ELLIPTIC-EQUATIONS; SOLITON-SOLUTIONS; CRITICAL GROWTH; R-N; PERTURBATION METHOD; CRITICAL EXPONENT; EXISTENCE; NONLINEARITIES; SIGN; INDEFINITE;

D O I：

10.1016/j.jmaa.2015.09.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with existence and multiplicity of nonnegative weak solutions for quasilinear Schrodinger equations involving nonlinearities with possibly supercritical growth at infinity and indefinite sign. An appropriate change of variables reduces the quasilinear problem into a semilinear one. Variational and sub- super-methods are applied in order to obtain the main results of the paper. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：939 / 955

页数：17

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