Standing waves for a gauged nonlinear Schrodinger equation with a vortex point

被引：34

作者：

Jiang, Yongsheng ^{[1
]}

Pomponio, Alessio ^{[2
]}

Ruiz, David ^{[3
]}

机构：

[1] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China

[2] Politecn Bari, Dipartimento Meccan Matemat & Management, Via E Orabona 4, I-70125 Bari, Italy

[3] Dept Anal Matemat, Avda Fuentenueva S-N, Granada 18071, Spain

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2016年 / 18卷 / 04期

关键词：

Gauged Schrodinger equations; Chern-Simons theory; variational methods; concentration compactness; EXISTENCE;

D O I：

10.1142/S0219199715500741

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is motivated by a gauged Schrodinger equation in dimension 2. We are concerned with radial stationary states under the presence of a vortex at the origin. Those states solve a nonlinear nonlocal PDE with a variational structure. We will study the global behavior of that functional, extending known results for the regular case.

引用

页数：20

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