Existence of positive solutions for a class of quasilinear Schrodinger equations on RN

被引：4
|
作者：
Chen, Shaoxiong [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 405卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Quasilinear Schrodinger equations; Minimization; Implicit function theorem; SOLITON-SOLUTIONS;
D O I：
10.1016/j.jmaa.2013.04.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the following quasilinear Schrodinger equation of the form, -Delta u + V(x)u - 1/2 Delta(u(2))u = alpha vertical bar u vertical bar(p-1)u + beta vertical bar u vertical bar(q-1)u, x is an element of R-N, where N >= 3, 2 + 2/N <= q < p < 2 . (2N/N-2) - 1, alpha, beta is an element of R-N. Under appropriate assumptions on V(x), we establish the existence of ground state solutions by a minimization argument. (c) 2013 Elsevier Inc. All rights reserved.
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页码：595 / 607
页数：13
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