Multiplicity of semiclassical solutions to nonlinear Schrodinger equations

被引：8
|
作者：
Ding, Yanheng [1 ]
Wei, Juncheng [2 ,3 ]
机构：
[1] Univ Chinese Acad Sci, CAS, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 01期
基金：
美国国家科学基金会;
关键词：
Schrodinger equation; critical nonlinearities; semiclassical solution; multiplicity; concentration; BOUND-STATES; STANDING WAVES; POTENTIALS; EXISTENCE;
D O I：
10.1007/s11784-017-0410-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the following nonlinear Schrodinger equations: for x. RN, where p. (2, 2*), 2* =2N/(N -2) if N > 2 and =8 if N =2 (and (0.2) is considered just for N =3), minV > 0 and inf W > 0. Under certain assumptions, we study the existence and concentration phenomena of semiclassical positive ground states, and multiplicity of solutions including at least 1 pair of sign-changing ones for (0.1) and (0.2) with simultaneously linear and nonlinear potentials.
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页码：987 / 1010
页数：24
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