一个椭圆特征问题解对参数的连续性(英文)  

Continuity of Solutions to an Elliptic Eigenvalue Problem with Respect to Parameters

作　　者：李永青[1] 李树杰[2] 

机构地区：[1]福建师范大学数学系,福建福州350007 [2]中国科学院数学研究所,北京100080

出　　处：《应用泛函分析学报》2002年第4期321-327,共7页Acta Analysis Functionalis Applicata

基　　金：Supported by the knowledge innovation program of the Chinese Academy of Science(1010900);Supported in part by NNSF of China(10161010);a Grand from Fujian Education Committee(IA02160)

摘　　要：用变分方法证明了一个限制在球面上的椭圆特征问题解对参数(球面半径)的连续性.从而得到相应的不带限制的椭圆特征问题的解分枝.In this paper, we prove the continuity of solutions with respect to parameter for a semilinear elliptic eigenvalue problem with constraint by using variational methods, and then show the bifurcating solutions to a semilinear elliptic eigenvalue problem without constraint.

关 键 词：解 连续性 多重解 分岐解 变分方法 椭圆特征问题 

分 类 号：O175.25[理学—数学] O176[理学—基础数学]