| 拟线性退化椭圆方程近共振问题的多重解 |
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| 引用本文： | 安育成,索洪敏.拟线性退化椭圆方程近共振问题的多重解[J].毕节学院学报,2012,30(4):47-50. |
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| 作者姓名： | 安育成 索洪敏 |
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| 作者单位： | 1. 毕节学院数学与计算机科学学院,贵州毕节,551700
2. 贵州民族学院理学院,贵州贵阳,550025 |
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| 基金项目： | 毕节学院自然科学基金资助项目;项目，贵州省教育厅自然科学基金资助项目;项目，国家民委科研基金资助项目;项目 |
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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。
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| 关 键 词： | 退化椭圆方程 Ekeland变分原理 山路引理 近共振 |
Mulltiplicity Results of a Quasilinear Degenerate Elliptic Equations near Resonance |
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| AN Yu-cheng,SUO Hong-min.Mulltiplicity Results of a Quasilinear Degenerate Elliptic Equations near Resonance[J].Journal of Bijie University,2012,30(4):47-50. |
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| Authors: | AN Yu-cheng SUO Hong-min |
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| Institution: | 1.Schoool of Mathematics and Computer Science of Bijie University,Bijie,Guizhou551700,China; 2.School of Science,Guizhou University for Nationalities,Guiyang,Guizhou550025,China) |
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| Abstract: | The quasilinear degenerate elliptic equations is studied,by using Ekeland variational principle 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 eigenvalues. |
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| Keywords: | Degenerate Elliptic Equations Ekeland's Variational Principle Mountain Pass Theorem Near Resonance |
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