| 一类利用变分法研究的多点边值问题解的存在性 |
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| 引用本文： | 葛渭高,张莉,田玉.一类利用变分法研究的多点边值问题解的存在性[J].北京理工大学学报,2014,34(11):1207-1210. |
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| 作者姓名： | 葛渭高 张莉 田玉 |
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| 作者单位： | 北京理工大学数学学院,北京 100081;北京联合大学基础部,北京 100101;北京邮电大学理学院,北京 100876 |
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| 基金项目： | 国家自然科学基金资助项目(110710174,71373023);国家自然科学基金青年基金资助项目(11001028);北京市自然科学基金资助项目(1122016);北京市教委自然科学基金资助项目(KM201311417006) |
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| 摘 要： | 考虑一类具有p-Laplacian的微分方程多点边值问题.通过选择合适的Banach空间,利用变分方法,得到了有关多点边值问题解的存在性定理,所获得的结论不同于利用拓扑度理论、不动点定理等所获得的多点边值问题解的存在性结论.
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| 关 键 词： | 多点边值问题 p-Laplacian 变分法 临界点 自反空间 |
| 收稿时间： | 2014/2/26 0:00:00 |
Existence of Solutions to Some Multi-Point Boundary Value Problem via Variational Method |
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| GE Wei-gao,ZHANG Li and TIAN Yu.Existence of Solutions to Some Multi-Point Boundary Value Problem via Variational Method[J].Journal of Beijing Institute of Technology(Natural Science Edition),2014,34(11):1207-1210. |
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| Authors: | GE Wei-gao ZHANG Li and TIAN Yu |
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| Institution: | 1.Department of Mathematics, Beijing Institute of Technology, Beijing 100081, China2.Department of Foundation Courses, Beijing Union University, Beijing 100101, China3.School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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| Abstract: | By choosing suitable Banach spaces and constructing adequate auxiliary boundary value problems, the existence theorem of solutions to multi-point boundary value problems of p-Laplacian differential systems were proved via variational method. The proposed theorem is different from the results obtained by the Topological degree theory and the fixed-point theorems. |
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| Keywords: | multi-point boundary value problem p-Laplacian variational method critical point reflexive space |
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