New approach for the existence and uniqueness of periodic solutions to p -Laplacian prescribed mean curvature equations

Boundary value problems

Weigao Ge¹  Bo Du² 

[1] Department of Mathematics, Beijing Institute of Technology, Beijing, P.R. China;Department of Mathematics, Huaiyin Normal University, Huaian, P.R. China

关键词: generalized Mawhin’s continuation theorem;    periodic solution;    p-Laplacian;    34C57;    58E05;   

DOI  :  10.1186/s13661-016-0689-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using a generalized Mawhin continuation theorem, we obtain some sufficient conditions which guarantee the existence and uniqueness of periodic solutions for two types of prescribed mean curvature p-Laplacian equations.

【 授权许可】

CC BY