Nonlinear perturbations of a periodic Schrödinger equation with supercritical growth

被引：0
|
作者：
Giovany M. Figueiredo
Olimpio H. Miyagaki
Sandra Im. Moreira
机构：
[1] Universidade Federal do Pará,Faculdade de Matemática
[2] Universidade Federal de Juiz de Fora,Departamento de Matemática
[3] Universidade Estadual do Maranhão,Departamento de Matemática e Informática
来源：
Zeitschrift für angewandte Mathematik und Physik | 2015年 / 66卷
关键词：
Quasilinear Schrödinger equations; Variational methods; Supercritical exponent; Primary 35J10; 35J20; 35J60; Secondary 35Q55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish the existence of positive solutions for a class of quasilinear Schrödinger equations involving supercritical growth. By using a change of variables, the quasilinear equation is reduced to a semilinear equation. Then, variational method is used together with a truncation argument used in Del Pino and Felmer (Calc var Partial Differ Equ 4:121–137, 1996) and concentration compactness principle given in Zelati and Rabinowtiz (Commun Pure Appl Math 45:1217–1269, 1992.
引用
收藏
页码：2379 / 2394
页数：15
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