一类环形区域上的椭圆问题  

A Class of Elliptic Problems in Annular Domains

作　　者：孙鑫[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《太原师范学院学报（自然科学版）》2012年第4期114-116,共3页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：文章讨论一类环形区域上的Laplace边值问题-Δu=f(u),x∈B1\Bε;u=0,x∈B1;u/n=0,x∈Bε利用Leggett-Williams三解定理获得至少三个非负径向解的存在性.We deal with a class of Laplacian boundary problems-△u = f（u）,x∈ B1 ／Bt ;u =0,x∈B;u/n=0,x∈ Bt in annular domains. By means of the Leggett-Williams three solu On tions theorem we obtain the existence of at least three non-negative radial solutions.

关 键 词：LAPLACE方程 环形区域 Leggett—Williams三解定理 边值问题 

分 类 号：O177.91[理学—数学]