| 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.[YANG Huang,CHEN Huiwen,LI Jiameng.Existence of Solutions for a Class of Fourth-order Elliptic Equations[J].Journal of University of South China(Science and Technology),2022,(6):65~71.] |
| 一类四阶椭圆型方程解的存在性 |
| Existence of Solutions for a Class of Fourth-order Elliptic Equations |
| 投稿时间：2022-07-16 |
| DOI： |
| 中文关键词: 四阶椭圆型方程 变分法 山路引理 非平凡解 |
| 英文关键词:fourth-order elliptic equations variational methods mountain pass theorem nontrivial solutions |
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| 摘要点击次数: 452 |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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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