Concentration for a bi-harmonic Schrodinger equation with critical nonlinearity

被引：2
|
作者：
Wang, Dong [1 ]
机构：
[1] Changzhou Univ, Sch Math & Phys, Changzhou 213164, Jiangsu, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 435卷 / 01期
关键词：
Nonlinear bi-harmonic Schrodinger equations; Standing waves; Critical point theory; BOUND-STATES; SEMICLASSICAL STATES; POSITIVE SOLUTIONS; STANDING WAVES; EXISTENCE; FIELDS;
D O I：
10.1016/j.jmaa.2015.10.048
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns the following fourth-order problem {epsilon(4)Delta(2)u + V(x)u = P(x)(f(vertical bar u vertical bar) + vertical bar u vertical bar(2*-2))u, x is an element of R-N, u(x) -> 0 as vertical bar x vertical bar -> infinity, where 2* = 2N/ N-4, V and P are spatial distributions of external potentials. By variational methods, the concentration phenomena of the solutions as epsilon -> 0 is considered. (C) 2015 Elsevier Inc. All rights reserved.
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页码：380 / 401
页数：22
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