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

被引：140
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.
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页码：495 / 505
页数：11
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