Boundary blow-up solutions for a cooperative system of quasilinear equation

被引：8
|
作者：
Wang, Ying [1 ]
Wang, Mingxin [2 ]
机构：
[1] SE Univ, Dept Math, Nanjing 210018, Peoples R China
[2] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 368卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Boundary blow-up; Cooperative system; p-Laplacian; Singular weights; ASYMPTOTIC-BEHAVIOR; ELLIPTIC SYSTEM; REGULARITY; UNIQUENESS; EXISTENCE;
D O I：
10.1016/j.jmaa.2010.03.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence, uniqueness and boundary behavior of positive boundary blow-up solutions to the quasilinear elliptic system {Delta(p)u = w(x)u(a)/v(b) in Omega, Delta(p)v = lambda(x)v(c)/u(e) in Omega, u = v = infinity on partial derivative Omega in a smooth bounded domain Omega subset of R-N. The operator Delta(p) stands for the p-Laplacian defined by Delta(p)u = div{vertical bar del u vertical bar(p-2)del u), p > 1, the exponents a, b, c, e verify a, c > p - 1, b, e > 0, and the weight functions w(x), lambda(x) are positive and may blow up on the boundary partial derivative Omega. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：736 / 744
页数：9
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