西北师范大学学报（自然科学版）2012，Vol.48Issue(4)：1-6,6.
在非主特征值处近共振的退化椭圆系统的多重解
Multiplicity results for some degenerate elliptic systems near resonance with a nonprincipal eigenvalue
摘要
Abstract
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.关键词
退化椭圆系统/近共振/环绕定理/鞍点定理/多重解Key words
degenerate elliptic systems/ near resonance/ link theorem/ saddle point theorem/ multiple solutions分类
数理科学引用本文复制引用
安育成,索洪敏,金瑾..在非主特征值处近共振的退化椭圆系统的多重解[J].西北师范大学学报（自然科学版）,2012,48(4):1-6,6.基金项目
国家民委科研基金资助项目(201102) （201102）
贵州省教育厅自然科学基金资助项目(2010305) （2010305）
