Positive evanescent solutions of nonlinear elliptic equations

被引:13
|
作者
Djebali, Smail
Moussaoui, Toufik
Mustafa, Octavian G.
机构
[1] Univ Craiova, DAL, Dept Math, Craiova, Romania
[2] ENS, Dept Math, Kouba 16050, Algiers, Algeria
基金
美国国家科学基金会;
关键词
positive solution; nonlinear elliptic equation; exterior domain;
D O I
10.1016/j.jmaa.2006.12.004
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this note we investigate the existence of positive solutions vanishing at +infinity to the elliptic equation Delta u + f (x, u) + g(vertical bar x vertical bar)x (.) del u = 0, vertical bar x vertical bar > A > 0, in R-n (n >= 3) under mild restrictions on the functions f, g. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:863 / 870
页数:8
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