| 李家萌,陈会文,肖可,阳晃,许小锋.一类四阶椭圆型方程的非平凡解的存在性[J].南华大学学报(自然科学版),2021,(6):49~53, 64.[LI Jiameng,CHEN Huiwen,XIAO Ke,YANG Huang,XU Xiaofeng.Existence of Nontrivial Solutions for a Class of Nonlinear Fourth-order Elliptic Equations[J].Journal of University of South China(Science and Technology),2021,(6):49~53, 64.] |
| 一类四阶椭圆型方程的非平凡解的存在性 |
| Existence of Nontrivial Solutions for a Class of Nonlinear Fourth-order Elliptic Equations |
| 投稿时间：2021-07-27 |
| DOI： |
| 中文关键词: 四阶椭圆型方程 临界点理论 山路引理 非平凡解 |
| 英文关键词:fourth-order elliptic equations critical point theory mountain pass theorem nontrivial solutions |
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| 摘要点击次数: 408 |
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| 中文摘要: |
| 研究了一类四阶椭圆型方程非平凡解的存在性,在对非线性项作新的假设条件下,建立了一个新的存在性准则,运用三临界点定理得到了非平凡解的存在性结果。 |
| 英文摘要: |
| This paper studies the existence of nontrivial solutions for a class of nonlinear fourth-order elliptic equations. Under new assumptions on nonlinearity f, it establishes a new existence criterion, by using critical theorems. |
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