Positive solutions of an elliptic partial differential equation on RN

被引：17
|
作者：
Du, YH [1 ]
Ma, L
机构：
[1] Univ New England, Sch Math & Comp Sci, Armidale, NSW 2351, Australia
[2] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 271卷 / 02期
基金：
中国国家自然科学基金;
关键词：
variational method; comparison principle; boundary blow-up;
D O I：
10.1016/S0022-247X(02)00124-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the existence, nonexistence and uniqueness of positive solutions of a one-parameter family of elliptic partial differential equations on R-N (N > 2). These equations are of interests in mathematical biology and Riemannian geometry. Our approach are based on variational arguments and comparison principles. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：409 / 425
页数：17
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