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

作　　者：Zai-tao LIANG Shi-ping LU 

机构地区：[1]School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China [2]College of Mathematics and Statistics,Nanjing University of Information Science&Technology,Nanjing 210044,China

出　　处：《Acta Mathematicae Applicatae Sinica》2020年第2期516-526,共11页应用数学学报（英文版）

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)。

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.

关 键 词：periodic solutions Mawhin’s CONTINUATION THEOREM PRESCRIBED mean CURVATURE EQUATIONS 

分 类 号：O175[理学—数学]