Periodic Solutions for a Class of n-dimensional Prescribed Mean Curvature Equations

作     者：Zai-tao LIANG Shi-ping LU Zai-tao LIANG;Shi-ping LU

作者机构：School of Mathematics and Big DataAnhui University of Science and TechnologyHuainan 232001China College of Mathematics and StatisticsNanjing University of Information Science&TechnologyNanjing 210044China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2020年第36卷第2期

页      面：516-526页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China(No.11901004) the Natural Science Foundation of Anhui Province(No.1908085QA02) the Key Program of Scientific Research Fund for Young Teachers of AUST(No.QN2018109) sponsored by the National Natural Science Foundation of China(No.11271197) 

主　　题：periodic solutions Mawhin’s continuation theorem prescribed mean curvature equations 

摘      要：In this paper,by using an extension of Mawhin’s continuation theorem and some analysis methods,we study the existence of periodic solutions for the following prescribed mean curvature system d/dtφ(x )+▽W(x)=p(t), where x∈R^n,W∈C^1(R^n,R),p∈C(R,R^n)is T-periodic and φ(x)=x/√1+|x|^2.