西北师范大学学报（自然科学版）2012，Vol.48Issue(6)：13-16,21,5.
一类加权半线性特征值问题正解的存在唯一性
Existence and uniqueness of positive solutions for a class of weight semilinear eigenvalue problems
摘要
Abstract
This paper concerns with the existence, uniqueness and stability of positive solutions of an elliptic eigenvalue problem with sublinear nonlinearity. Under some suitable assumptions, the existence of an intervals of positive real parameter is obtained, for which the above problem admits a unique positive solution. A complete description of the global structure of positive solution is also given. The proofs of our main results are based upon bifurcation techniques and stability analysis.关键词
椭圆型特征值问题/隐函数定理/正解/分歧/唯一性Key words
elliptic eigenvalue problem/ implicit function theorem/ positive solution, bifurcation/uniqueness分类
数理科学引用本文复制引用
代国伟,马慧莉..一类加权半线性特征值问题正解的存在唯一性[J].西北师范大学学报（自然科学版）,2012,48(6):13-16,21,5.基金项目
国家自然科学基金资助项目(11126296,11261052) （11126296,11261052）
西北师范大学青年基金资助项目(NWNU-LKQN-10-21) （NWNU-LKQN-10-21）
