Existence and multiplicity of non-trivial solutions for a class of modified Schrodinger equation with non-coercive potential

被引：1
|
作者：
Nie, Jianjun [1 ]
Wu, Xian [2 ]
Zhu, Minfang [3 ]
机构：
[1] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China
[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China
[3] Guizhou Inst Technol, Guiyang 550003, Guizhou, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 225卷
基金：
中国国家自然科学基金;
关键词：
Modified Schrodinger nonlinear equation; Sobolev embedding; Minimizer; SOLITON-SOLUTIONS;
D O I：
10.1016/j.amc.2013.10.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study the following modified nonlinear Schrodinger equation -Delta u + V(x)u - 1/2u Delta u(2) = vertical bar u vertical bar(p-1) u + h(x), x is an element of R-N, (P) where N >= 3,4 <= p + 1 < 22*, h is an element of L-2 (R-N) and h not equal 0. Under some hypotheses on V, we obtain the existence and multiplicity of non-trivial solutions. (C) 2013 Elsevier Inc. All rights reserved.
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页码：677 / 694
页数：18
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