| 一类退化椭圆方程在高阶特征值处近共振的多重解 |
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| 引用本文： | 安育成,索洪敏.一类退化椭圆方程在高阶特征值处近共振的多重解[J].四川理工学院学报(自然科学版),2011,24(5):599-603. |
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| 作者姓名： | 安育成 索洪敏 |
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| 作者单位： | 贵州民族学院理学院,贵阳,550025 |
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| 基金项目： | 毕节地区科学技术基金资助项目 |
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| 摘 要： | 通过对一类退化椭圆方程的研究,利用临界点理论中的极小极大原理和一个广义的Landesman-Lazer类型条件,获得了退化椭圆方程在高阶特征值处近共振的多重解。
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| 关 键 词： | 退化椭圆方程 极小极大原理 Landesman-Lazer类型条件 多重解 |
Multiple Solutions for Degenerate Elliptic Equations Near Resonance at Higher Eigenvalues |
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| An Yu-cheng,Suo Hong-min.Multiple Solutions for Degenerate Elliptic Equations Near Resonance at Higher Eigenvalues[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011,24(5):599-603. |
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| Authors: | An Yu-cheng Suo Hong-min |
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| Institution: | 1(1.School of Science,Guizhou University for Nationalities,Guiyang 550025,China; 2.School of Mathematics and Computer Science of Bijie University,Bijie 551700,China) |
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| Abstract: | A class of degenerate elliptic equations is studied.By using the minimax methods in critical point theory and a generalized Landesman-Lazer type condition,multiple solutions are obtained for a class of degenerate elliptic equations near resonance at higher eigenvalues. |
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| Keywords: | degenerate elliptic equations minimax methods Landesman-Lazer type condition multiple solutions |
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