一类带非线性边值条件的半线性椭圆方程组的多个解  

A Multiple Solutions for a Semilinear Elliptic System with Nonlinear Boundary Conditions

作　　者：汪继秀[1] 

机构地区：[1]湖北文理学院数学与计算机学院,襄阳441053

出　　处：《应用数学学报》2014年第2期332-342,共11页Acta Mathematicae Applicatae Sinica

基　　金：湖北省教育厅科研计划(Q20122504)资助项目

摘　　要：本文考虑一类带非线性边值条件的半线性拉普拉斯方程组解的存在性,主要通过Nehari流形方法证明了该方程组至少有两个不同的非负解,再通过极值原理可以获得该非负解是正解.In this paper, we concern the existence of solutions of a class of semilinear elliptic system with nonlinear boundary conditions. We prove that the system has at least two nontrivial nonnegative solutions by Nehari manifold method, and then using strong maximum principle, show the positivity of these solutions.

关 键 词：NEHARI流形 非负解 正解 

分 类 号：O175.25[理学—数学]