数学杂志2021，Vol.41Issue(5)：384-406,23.
一类带扰动项的MEMS模型的存在性定理
EXISTENCE THEOREM FOR A CLASS OF MEMS MODEL WITH A PERTURBATION TERM
摘要
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.关键词
MEMS模型/扰动项/变分法/上下解Key words
MEMS model/a perturbation term/variational method/upper and lower solu-tion分类
数理科学引用本文复制引用
吕佳琦,陈南博,刘晓春..一类带扰动项的MEMS模型的存在性定理[J].数学杂志,2021,41(5):384-406,23.基金项目
Supported by National Natural Science Foundation of China (11771342 （）
12071364) （）
Natural Science Foundation of Hubei Province (2019CFA007). （2019CFA007）
