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| 摘要: |
| 本文研究了一个四阶椭圆方程解的存在性问题.利用山路定理和喷泉定理,结合变分方法,获得了该问题弱解的几个存在性定理,推广了现有的一些结果. |
| 关键词: 椭圆方程 山路定理 喷泉定理 弱解 |
| DOI： |
| 分类号:O175.25 |
| 基金项目:Supported by National Natural Science Foundation of China (11202084). |
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| WEAK SOLUTIONS FOR A FOURTH ORDERELLIPTIC PROBLEM |
|
WANG Yong
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| Abstract: |
| In this work we shall study the existence of weak solutions for a fourth order elliptic problem. By virtue of mountain pass theorem and fountain theorem, combining with variational method, several existence theorems for weak solutions are obtained. The results obtained here improve some existing results in the literature. |
| Key words: elliptic problem mountain pass theorem fountain theorem weak solution |
