Semiclassical limit for nonlinear Schrodinger equations with electromagnetic fields

被引：87
作者：
Cingolani, S
Secchi, S
机构：
[1] Politecn Bari, Dipartimento Interuniv Matemat, I-70125 Bari, Italy
[2] SISSA, I-34014 Trieste, Italy
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 275卷 / 01期
关键词：
nonlinear Schrodinger equations; semiclassical limit; electromagnetic fields; complex-valued solutions;
D O I：
10.1016/S0022-247X(02)00278-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of standing waves for a class of nonlinear Schrodinger equations in R-n, with both an electric and a magnetic field. Under suitable non-degeneracy assumptions on the critical points of an auxiliary function related to the electric field, we prove the existence and the multiplicity of complex-valued solutions in the semiclassical limit. We show that, in the semiclassical limit, the presence of a magnetic field produces a phase in the complex wave, but it does not influence the location of peaks of the modulus of these waves. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：108 / 130
页数：23
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