Uniqueness of radially symmetric positive solutions for -Δu+u=up in an annulus

被引：29

作者：

Felmer, Patricio ^{[2
,3
]}

Martinez, Salome ^{[2
,3
]}

Tanaka, Kazunaga ^{[1
]}

机构：

[1] Waseda Univ, Dept Math, Sch Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[3] Univ Chile, Ctr Modelamiento Matemat, UMR2071, CNRS, Santiago, Chile

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 245卷 / 05期

基金：

日本学术振兴会;

关键词：

non-linear elliptic equation; radially symmetric solutions; non-degeneracy;

D O I：

10.1016/j.jde.2008.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we prove that the semi-linear elliptic partial differential equation -Delta u + u = u(p) in Omega u > 0 in Omega. u = 0 on partial derivative Omega possesses a unique positive radially symmetric solution. Here p > 1 and Omega is the annulus (x epsilon R(N) vertical bar a < vertical bar x vertical bar < b), with N >= 2, 0 < a < b <= infinity. We also show the positive solution is non-degenerate. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：1198 / 1209

页数：12

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