| 一类四阶椭圆方程弱解的存在性 |
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| 引用本文： | 娄光谱,王战伟. 一类四阶椭圆方程弱解的存在性[J]. 河南科学, 2012, 30(5): 542-544 |
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| 作者姓名： | 娄光谱 王战伟 |
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| 作者单位： | 郑州航空工业管理学院数理系,郑州,450015 |
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| 摘 要： | 通过特征值构造局部环绕结构,并利用同调非平凡临界点的相关理论讨论了一类四阶椭圆方程Dirichlet问题在空间E=H2(Ω)∩H10(Ω)中解的存在性问题,进而得到了其具有三个非平凡弱解的结论.
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| 关 键 词： | 四阶椭圆方程 局部环绕 同调非平凡临界点 |
Existence of Solutions for a Class of Fourth-order Elliptic Equation |
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| Lou Guangpu , Wang Zhanwei. Existence of Solutions for a Class of Fourth-order Elliptic Equation[J]. Henan Science, 2012, 30(5): 542-544 |
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| Authors: | Lou Guangpu Wang Zhanwei |
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| Affiliation: | (Department of Mathsmatics and Physics,Zhengzhou Institute of Aeronautical Industry Management,Zhengzhou,450015,China) |
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| Abstract: | In this paper,the existence of nontririal solutions for a fourth-order elliptic equation in Hilbert space E=H^2（Ω）∩H0^1（Ω） using by constructing a local linking geometry and conclusion of homological non-trivial critical point were considered.Then it is concluded that the problem has three non-trivial solutions. |
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| Keywords: | fourth-order elliptic equation local link homological non-trivial critical point |
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