Existence of solutions for a quasilinear Schrodinger equation with subcritical nonlinearities

被引：36
|
作者：
Yang, Minbo [1 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 13期
关键词：
Quasilinear Schrodinger equation; Soliton solutions; Mountain pass theorem; CONCENTRATION-COMPACTNESS PRINCIPLE; SOLITON-SOLUTIONS; CALCULUS; PLASMA;
D O I：
10.1016/j.na.2012.04.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence of solutions for the quasilinear Schrodinger equation: -Delta u + V(x)u - Delta(u(2))u = g(x, u) in R-N, where N >= 3 and g(x, u) is a superlinear but subcritical function. Under periodic or asymptotically periodic assumptions on the nonlinearities, we prove the existence of bounded states for this equation by the Mountain Pass Theorem. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：5362 / 5373
页数：12
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