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.
出处
《应用泛函分析学报》
CSCD
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)
关键词
解
连续性
多重解
分岐解
变分方法
椭圆特征问题
continuity of solutions
multiple solutions
bifurcating solution
variational methods
elliptic eigenvalue problem
