一类渐近线性四阶椭圆方程解的存在性 |
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引用本文: | 娄光谱,金爱云.一类渐近线性四阶椭圆方程解的存在性[J].新乡学院学报(自然科学版),2011(4):298-300. |
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作者姓名: | 娄光谱 金爱云 |
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作者单位: | 郑州航空工业管理学院数理系 |
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基金项目: | 河南省教育厅自然科学研究资助计划项目(2010A110018) |
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摘 要: | 利用山路引理和截断技巧,并根据强极大值定理讨论了一类渐近线性四阶椭圆方程Diriehlet问题在空间E=H^2(Ω)∩H0^1(Ω)中的一正一负非平凡弱解的存在性问题。
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关 键 词: | 渐近线性椭圆方程 截断 山路引理 |
The Existence of Solutions for a Class of Asymptotically Linear Fourth-order Elliptic Equations |
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Authors: | LOU Guang-pu JIN Ai-yun |
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Institution: | (Department of Mathematics and Physics,Zhengzhou Institute of Aeronautical Industry Management, Zhengzhou 450015,China.) |
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Abstract: | According to the strong maximum principle, the existence of a positive solution and a negative solution for an asymptotically linear fourth-order elliptic equation in Hilbert space E=H^2(Ω)∩H0^1(Ω) are discussed by using Mountain Pass principle and cutting-off. |
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Keywords: | asymptotically linear elliptic equation cutting-off Mountain Pass principle |
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