Multi-solution of Semilinear Elliptic Equation on R^N  

全空间上半线性椭圆方程的多解性(英文)

作　　者：冯秀芳[1] 郑驻军[1] 赵秀娥 郑君英 

机构地区：[1]河南大学数学系,河南开封475001 [2]许昌师范学院数学组,河南许昌461100 [3]新郑一中数学组,河南新郑451100

出　　处：《Chinese Quarterly Journal of Mathematics》2001年第2期98-103,共6页数学季刊（英文版）

基　　金：theNationalScienceFoundationofHenanProvince (9740 5 10 0 0 ) ;SupportedbytheFoun dationofHenanEducationaCommittee(2 0 0 0 110

摘　　要：In this paper, we give a Z 2 index theory of generalized critical point. By this theory we get a sufficient condition on the existing result of a class functional, as an example we give a new result that the equation-Δu+u=｜u｜ p-1 u, x∈R N,(1)has infinite solutions.

关 键 词：generalized critical point Z  2   index semilinear equation 

分 类 号：O175.25[理学—数学]