一类椭圆方程组Neumann问题正解的唯一性  

Uniqueness of Positive Solutions of the Neumann Problem for an Elliptic System

作　　者：魏晓丹[1] 周文书[2,3] 张友[2] 

机构地区：[1]大连民族学院计算机科学与工程学院,辽宁大连116600 [2]大连民族学院理学院,辽宁大连116600 [3]大连理工大学数学学院,辽宁大连116024

出　　处：《吉林大学学报（理学版）》2013年第3期427-430,共4页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10901030);大连民族学院自主科研基金(批准号:DC120101064;DC110109)

摘　　要：研究一类椭圆方程组正解的唯一性.运用变换技巧和极值原理,在确定的条件下证明了有关解的两个递归不等式,并取极限得到了该问题的唯一正解.结果表明,在更弱的条件下,该问题没有非常值正解.This paper deals with the uniqueness of positive solutions of the Neumann problem for an elliptic system.With the help of transformation technique and maximal principle,we proved two inequalities of solutions under a definite condition,and then obtained the uniqueness of positive solution by taking the limit for them,which also shows that under more weak conditions,the problem has no any positive non-constant solution.

关 键 词：椭圆方程组 正解 唯一性 

分 类 号：O175.25[理学—数学]