摘要
研究退化椭圆系统特征值的性质.首先对Sobolev空间进行直和分解,然后给出系统的扰动条件;利用临界点理论中的环绕定理和局部鞍点定理,建立了退化椭圆系统在非主特征值处近共振的多重解的两个存在性结论.
The degenerate elliptic systems are studied.According to the characteristics of the eigenvalues for a class of degenerate elliptic systems,the Sobolev space is resolved,and the suitable perturbation conditions are given for the systems.Some multiplicity results of solutions are obtained for a class of degenerate elliptic systems near resonance with a nonprincipal eigenvalues by the classical link theorem and a local saddle point theorem in critical theory.
出处
《西北师范大学学报（自然科学版）》
CAS
北大核心
2012年第4期1-6,共6页
Journal of Northwest Normal University(Natural Science)
基金
国家民委科研基金资助项目(201102)
贵州省教育厅自然科学基金资助项目(2010305)
关键词
退化椭圆系统
近共振
环绕定理
鞍点定理
多重解
degenerate elliptic systems
near resonance
link theorem
saddle point theorem
multiple solutions
