Existence and nonexistence of entire positive solutions of semilinear elliptic systems

被引：26

作者：

Wang, XF ^{[1
]}

Wood, AW

机构：

[1] Tulane Univ, Dept Math, New Orleans, LA 70118 USA

[2] USAF, Inst Technol, ENC, Dept Math & Stat, Wright Patterson AFB, OH 45433 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 267卷 / 01期

关键词：

entire solution; semilinear elliptic system;

D O I：

10.1006/jmaa.2001.7784

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that entire positive solutions exist for the semilinear elliptic system Deltau = p(x)v(alpha), Deltav = q(x)u(beta) on R-N, N greater than or equal to 3, for positive a and 6, provided that the nonnegative functions p and q are continuous and satisfy appropriate decay conditions at infinity. We also show that entire solutions fail to exist if the functions p and q are of slow decay. (C) 2002 Elsevier Science (USA).

引用

页码：361 / 368

页数：8

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