Semiclassical ground states for quasilinear Schrodinger equations with three times growth

被引：3
|
作者：
Zhang, Hui [1 ]
Zhang, Fubao [2 ]
机构：
[1] Jinling Inst Technol, Dept Math, Nanjing 211169, Jiangsu, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 456卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equation; Concentration; Nehari manifold; Semi-classical state; POSITIVE SOLUTIONS; SOLITON-SOLUTIONS; EXISTENCE;
D O I：
10.1016/j.jmaa.2017.07.045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the quasilinear Schrodinger equation -epsilon(2)Delta u + V(x)u - epsilon(2)u Delta(u(2)) = Q(x)u(3), u is an element of H-1(R-3), where epsilon > 0 is a parameter, V and Q are positive bounded functions. For the equation with three times growth, we establish the existence of ground states for epsilon small using the method of Nehari manifold. We also describe the concentration phenomena of ground states as epsilon -> 0. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1129 / 1149
页数：21
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