Uniqueness of standing waves for nonlinear Schrodinger equations

被引：17

作者：

Byeon, Jaeyoung ^{[1
]}

Oshita, Yoshihito ^{[2
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Math, Pohang 790784, Kyungbuk, South Korea

[2] Okayama Univ, Dept Math, Okayama 7008530, Japan

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2008年 / 138卷

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1017/S0308210507000236

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For m > 0 and p is an element of (1, (N + 2)/(N - 2)), we show the uniqueness and a linearized non-degeneracy of solutions for the following problem: Delta u - vertical bar x vertical bar(m)u + u(p) = 0, u > 0 in R(N) and vertical bar x vertical bar-->infinity lim u(x) = 0.

引用

页码：975 / 987

页数：13

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