Standing waves for nonlinear Schrodinger equations with singular potentials

被引：20

作者：

Byeon, Jaeyoung ^{[2
]}

Wang, Zhi-Qiang ^{[1
]}

机构：

[1] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

[2] POSTECH, Dept Math, Pohang 790784, Kyungbuk, South Korea

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 03期

关键词：

Nonlinear Schrodinger equations; Singularities of potentials; Decaying and unbounded potentials; CRITICAL FREQUENCY; SEMICLASSICAL STATES; BOUND-STATES; EXISTENCE; INFINITY; SPHERES;

D O I：

10.1016/j.anihpc.2008.03.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study semiclassical states of nonlinear Schrodinger equations with anisotropic type potentials which may exhibit a combination of vanishing and singularity while allowing decays and unboundedness at infinity. We give existence of spike type standing waves concentrating at the singularities of the potentials. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：943 / 958

页数：16

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