Positive solutions of Lane-Emden systems with negative exponents: Existence, boundary behavior and uniqueness

被引：19

作者：

Zhang, Zhijun ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 16期

关键词：

Semilinear elliptic systems; Singular terms; Dirichlet problems; Existence; Boundary behavior; Uniqueness; DIRICHLET PROBLEM;

D O I：

10.1016/j.na.2011.05.038

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, boundary behavior and uniqueness of solutions for the singular elliptic system -Delta u = u(-p) v(-q), -Delta v = u(-r) v(-s), u > 0, v > 0, x is an element of Omega, u vertical bar partial derivative Omega = v vertical bar partial derivative Omega = 0, where Omega is a bounded domain with smooth boundary in R-N, p, s >= 0 and q, r > 0. Our results are obtained in a range of p, q, r, s different from those in [M. Ghergu, Lane-Emden systems with negative exponents, J. Funct. Anal. 258 (2010) 3295-3318]. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：5544 / 5553

页数：10

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