拟线性退化椭圆方程近共振问题的多重解

Mulltiplicity Results of a Quasilinear Degenerate Elliptic Equations near Resonance

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摘要根据拟线性退化椭圆方程主特征值的性质,利用临界点理论中的Ekeland变分原理和山路引理,证明了一类拟线性退化椭圆方程在第一特征值处近共振的三个存在性结果。 The quasilinear degenerate elliptic equations is studied, by using Ekeland variational princi- ple and Mountain Pass Theorem in critical point theory, we obtain three solutions for a class of quasilinear degenerate elliptic equations near resonance at the first eig＇envalues.

作者安育成索洪敏

机构地区毕节学院数学与计算机科学学院贵州民族学院理学院

出处《毕节学院学报（综合版）》 2012年第4期47-50,共4页 Journal of Bijie University

基金毕节学院自然科学基金资助项目项目编号:20112011 贵州省教育厅自然科学基金资助项目项目编号:[2010]305号国家民委科研基金资助项目项目编号:[2011]02号

关键词退化椭圆方程 EKELAND变分原理山路引理近共振 Degenerate Elliptic Equations Ekeland＇s Variational Principle Mountain Pass Theorem Near Resonance

分类号 O175.25 [理学—基础数学]

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毕节学院学报（综合版）

2012年第4期

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拟线性退化椭圆方程近共振问题的多重解

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