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

研究一类带有次线性增长条件的椭圆型特征值问题正解的存在性、唯一性和稳定性.基于分析技巧和稳定性理论,在一些恰当的假设条件下,得到了该问题存在唯一正解的参数区间且给出了解的全局结构.

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.