摘要
利用变分方法研究一类带约束的半线性椭圆特征问题解对参数的连续性,获得无约束半线性椭圆特征问题的两个分枝解的存在性.在一定条件下,得到了一个正解分枝和一个负解分枝.
Study the continuity of the solutions with respect to a parameter for a semilinear el- liptic eigenvalue problem with constraint, and then obtain the existence of two branches of solutions for a semilinear elliptic eigenvalue problem without constraint by using variational methods. Under some assumptions, obtain a branch of positive solutions and a branch of negative solutions.
出处
《福建师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第3期15-19,共5页
Journal of Fujian Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(10831005)
关键词
解的连续性
正解与负解
椭圆特征值问题
continuity of solution
positive and negative solution
elliptic eigenvalue problem
