| 一类四阶椭圆型方程解的存在性 |
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| 引用本文： | 阳晃,陈会文,李家萌.一类四阶椭圆型方程解的存在性[J].南华大学学报(自然科学版),2022(6):65-71. |
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| 作者姓名： | 阳晃 陈会文 李家萌 |
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| 作者单位： | 南华大学 数理学院,湖南 衡阳 421001 |
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| 摘 要： | 研究了一类四阶椭圆型方程解的存在性,在对非线性项作新的假设条件下,通过山路引理得到了四阶椭圆方程的一个非平凡解的存在性结果。
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| 关 键 词： | 四阶椭圆型方程 变分法 山路引理 非平凡解 |
| 收稿时间： | 2022/7/16 0:00:00 |
Existence of Solutions for a Class of Fourth-order Elliptic Equations |
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| YANG Huang,CHEN Huiwen,LI Jiameng.Existence of Solutions for a Class of Fourth-order Elliptic Equations[J].Journal of Nanhua University:Science and Technology,2022(6):65-71. |
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| Authors: | YANG Huang CHEN Huiwen LI Jiameng |
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| Institution: | School of Mathematics and Physics, University of South China, Hengyang, Hunan 421001, China |
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| Abstract: | In this paper, we study the existence of solutions for a class of fourth-order elliptic equations. Under new assumptions on nonlinearity f, the existence of a nontrivial solution of a fourth order elliptic equation is obtained by using critical theorems. |
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| Keywords: | fourth-order elliptic equations variational methods mountain pass theorem nontrivial solutions |
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