| 摘要: |
| 本文研究了一类带扰动项的MEMS模型.利用上下解和变分的方法，获得了该模型的存在性和多解的结果.特别地，对一个MEMS系统，根据解的存在性，我们找到了一条曲线将第一象限的参数区域划分成两部分.推广了已有文献在MEMS模型方面的研究 |
| 关键词: MEMS模型 扰动项 变分法 上下解 |
| DOI： |
| 分类号:O175.2 |
| 基金项目:Supported by National Natural Science Foundation of China (11771342; 12071364); Natural Science Foundation of Hubei Province (2019CFA007). |
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| EXISTENCE THEOREM FOR A CLASS OF MEMS MODEL WITH A PERTURBATION TERM |
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LV Jia-qi1, CHEN Nan-bo2, LIU Xiao-chun1
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1.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;2.School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
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| Abstract: |
| In this paper, we study a class of MEMS models with a perturbation term. With the help of upper and lower solution method and variational approach, we obtain the existence and multiplicity results for these models. In particular, we find a curve which splits the area of parameters in the first quadrant into two parts according to the existence of solutions for a MEMS system. These are an extension on the existing literature in the aspect of MEMS models. |
| Key words: MEMS model a perturbation term variational method upper and lower solution |
