| Neumann边值问题非平凡解的存在性 |
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| 引用本文： | 郭媛.Neumann边值问题非平凡解的存在性[J].太原师范学院学报(自然科学版),2011,10(1):62-64. |
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| 作者姓名： | 郭媛 |
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| 作者单位： | 山西大学数学科学学院,山西太原,030006 |
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| 摘 要： | 微分方程Neumann边值问题是微分方程边值问题中比较典型的一类问题.对此问题,很多文献用拓扑度理论和不动点指数理论,Morse理论或用临界点理论为工具已经获得许多有关解的存在性及多解性的结果.文章使用对偶喷泉定理建立了一类Neumann边值问题解的存在性与多解性.
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| 关 键 词： | Neumann边值问题 对偶喷泉定理 临界点 算子方程 |
Existence of Nontrivial Solution for Neumann Boundary Value Problem |
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| Guo Yuan.Existence of Nontrivial Solution for Neumann Boundary Value Problem[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(1):62-64. |
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| Authors: | Guo Yuan |
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| Institution: | Guo Yuan(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | Ordinary differential equation Neumann boundary value problems are more general ones in boundary value problems.Many researchers studied these problems by employing the topological degree theory and fixed point index theory,by using Morse theory or the critical point theory and obtained the result of the existence and multiplicity of solutions.In this paper,existence and multiplicity results are obtained for one kind of Neumann boundary value problems by the dual fountain theorem. |
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| Keywords: | Neumann boundary value problem dual fountain theorem critical point operator equations |
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