| 关于二阶半线性椭圆方程的Dirichlet边值问题一个注记(英文) |
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| 引用本文： | 敖恩,张国伟. 关于二阶半线性椭圆方程的Dirichlet边值问题一个注记(英文)[J]. 数学杂志, 2014, 34(1): 37-42 |
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| 作者姓名： | 敖恩 张国伟 |
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| 作者单位： | 东北大学数学系;赤峰学院数学与统计学院 |
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| 基金项目： | Supported by National Natural Science Foundation of China(10971179) |
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| 摘 要： | 本文研究二阶半线性椭圆方程的Dirichlet边值问题.利用山路引理和最小作用原理,获得了在新条件下具有Dirichlet边值问题的二阶半线性椭圆方程的弱解的存在性的结果.
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| 关 键 词： | 椭圆方程 山路引理 最小作用原理 临界点 |
| 收稿时间： | 2012-03-12 |
| 修稿时间： | 2012-06-20 |
A NOTE ON DIRICHLET PROBLEM FOR SEMILINEAR SECOND ORDER ELLIPTIC EQUATION |
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| AO En and ZHANG Guo-wei. A NOTE ON DIRICHLET PROBLEM FOR SEMILINEAR SECOND ORDER ELLIPTIC EQUATION[J]. Journal of Mathematics, 2014, 34(1): 37-42 |
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| Authors: | AO En and ZHANG Guo-wei |
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| Affiliation: | AO En;ZHANG Guo-wei;Department of Mathematics,Northeastern University;School of Mathematics and Statistics,Chifeng University; |
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| Abstract: | In this paper, we study the Dirichlet problem for semilinear second order elliptic equation. By using the mountain pass lemma and the least action principle, we obtain the existence of weak solution to semilinear second order elliptic equation under some new conditions which are different from the previous ones. |
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| Keywords: | elliptic equation mountain pass lemma least action principle critical point |
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