A remark on the existence of entire positive solutions for a class of semilinear elliptic systems

被引：30

作者：

Li, Hong ^{[1
]}

Zhang, Pei ^{[1
]}

Zhang, Zhijun ^{[1
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期

关键词：

Semilinear elliptic systems; Entire solutions; Existence;

D O I：

10.1016/j.jmaa.2009.10.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the simple conditions on f and g, we show that entire positive radial solutions exist for the semilinear elliptic system Delta u = p(vertical bar x vertical bar)f (v), Delta v = q(vertical bar x vertical bar)g(u), x is an element of R-N, N >= 3. where the functions p, q : [0, infinity) -> [0, infinity) are continuous. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：338 / 341

页数：4

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