UNIQUENESS OF POSITIVE RADIAL SOLUTIONS OF DELTA-U+F(U)=0 IN R(N) .2.

被引：138

作者：

MCLEOD, K

机构：

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 339卷 / 02期

关键词：

D O I：

10.2307/2154282

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a uniqueness result for the positive solution of DELTAu + f(u) = 0 in R(n) which goes to 0 at infinity. The result applies to a wide class of nonlinear functions f, including the important model case f(u) = - u + u(p), 1 < p < (n + 2)/(n - 2). The result is proved by reducing to an initial-boundary problem for the ODE u'' + (n - 1)/r + f(u) = 0 and using a shooting method.

引用

页码：495 / 505

页数：11

共 11 条

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