一类半线性椭圆边值问题的多解性  

Multiple solutions to a semilinear elliptic boundary value problem

作　　者：蔡宏睿[1] 安天庆[1] 

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《河海大学学报（自然科学版）》2009年第4期487-491,共5页Journal of Hohai University(Natural Sciences)

摘　　要：利用临界点以及拓扑度理论讨论了一类半线性椭圆型方程边值问题的多解性,得到了适当条件下存在3个解的结论.Multiple solutions to a semilinear elliptic boundary value problem were discussed using the critical point and the theories of topological degree. It was concluded that there are three solutions under suitable conditions.

关 键 词：鞍点定理 Landesman-Lazer条件 拓扑度 MORSE指标 

分 类 号：O175.24[理学—数学]