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

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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.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 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)。
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