Properties of the positive solution of a semilinear elliptic partial differential equation in Rn

被引：0
|
作者：
Benouhiba, Nawel [1 ]
机构：
[1] Univ Annaba Algeria, Fac Sci, Dept Math, Annaba 23000, Algeria
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 03期
关键词：
weighted Sobolev space; semilinear elliptic equation; positive decay solution; regularity;
D O I：
10.1016/j.na.2006.11.021
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A positive solution of a semilinear elliptic partial differential equation over the whole of R-n is shown to be a regular decay function, i.e. (u) over bar is an element of C-2 and lim(vertical bar x vertical bar ->+infinity)(u) over bar (x) = 0, by means of the Sobolev embedding theorem and a bootstrap argument. (c) 2006 Elsevier Ltd. All rights reserved.
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页码：577 / 581
页数：5
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