一类非线性椭圆方程组三个正解的存在性  

Existence of Three Positive Solutions for a Class of Nonlinear Elliptic Systems

作　　者：魏公明 陈雨彤 张兴丽 

机构地区：[1]上海理工大学理学院数学系,上海

出　　处：《理论数学》2014年第5期201-207,共7页Pure Mathematics

基　　金：沪江基金(B14005)资助。

摘　　要：受对单个方程多解的存在性的研究的启发,本文研究具有非齐次边界条件的非线性椭圆方程组的存在性及多解性。由锥上Guo-Krasnoselskii不动点定理,本文证明了一类椭圆型方程组至少存在三个正解。Motivated by existence of solutions of single equation, in this paper we study the existence of mul-tiple solutions of a class of nonlienar elliptic systems with nonhomogeneous boundary conditions. Using Guo-Krasnoselski’s fixed point theorem on cones, we prove that there exist at least three positive solutions for this class of nonlinear elliptic systems.

关 键 词：非线性椭圆方程组 正径向解 锥上不动点定理 

分 类 号：O1[理学—数学]