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)

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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.

作者冯秀芳郑驻军赵秀娥郑君英

机构地区河南大学数学系许昌师范学院数学组新郑一中数学组

出处《Chinese Quarterly Journal of Mathematics》 CSCD 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

关键词 generalized critical point Z 2 index semilinear equation 广义临界点 Z2指标半线性椭圆方程对称泛函充分条件解

分类号 O175.25 [理学—基础数学]

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Chinese Quarterly Journal of Mathematics

2001年第2期

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Multi-solution of Semilinear Elliptic Equation on R^N

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