奇异非线性椭圆型方程组边值问题正解的存在唯一性

J4 ›› 2012, Vol. 50 ›› Issue (02): 232-236.

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Existence and Uniqueness of Positive Solutions for Singular Nonlinear Boundary Value Problems of Elliptic Systems

WEN Xiangdan^1, YUAN Chengjun^2, FAN Ying^2

1. Department of Mathematics, College of Science, YanbianUniversity, Yanji 133002, Jilin Province, China;2. Department of Mathematics, College of Science, Harbin University, Harbin 150086, China

Received:2011-07-13 Online:2012-03-26 Published:2012-03-21
Contact: WEN Xiangdan E-mail:wxdpaper@163.com

Abstract

Abstract:

Using mixed monotone fixed point theorem in the cone theory, we studied Dirichlet boundary value problems of nonlinear elliptic systems with singularity, obtaining the existence and the uniqueness of positive solutions for nonlinear elliptic systems, under conditions of the nonlinear terms being mixed monotone.

Key words: Dirichlet boundary value problem, elliptic systems, positive solutions, existence, uniqueness

CLC Number:

O175.08

WEN Xiang-Dan, YU Cheng-Jun, FAN Ying. Existence and Uniqueness of Positive Solutions for Singular Nonlinear Boundary Value Problems of Elliptic Systems[J].J4, 2012, 50(02): 232-236.

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Existence and Uniqueness of Positive Solutions for Singular Nonlinear Boundary Value Problems of Elliptic Systems

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