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Existence and Uniqueness of Anti-Periodic Solutions for Prescribed Mean Curvature Rayleigh p-Laplacian Equations

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Abstract

In this paper, the prescribed mean curvature Rayleigh p-Laplacian equation is studied. By means of the Leray–Schauder degree theory and some analysis methods, we have established new results of existence and uniqueness of anti-periodic solutions. Our research enriches the contents of prescribed mean curvature equations and generalizes known results.

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Acknowledgments

The authors express their sincere gratitude to the referee for very valuable suggestions concerning improvement of this paper. The research is supported by the National Natural Science Foundation of China (Grant No.10271197).

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Authors and Affiliations

  1. Department of Mathematics, Hunan Normal University, Changsha, 410081, People’s Republic of China

    Fanchao Kong

  2. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, People’s Republic of China

    Shiping Lu

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  1. Fanchao Kong
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  2. Shiping Lu
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Correspondence to Fanchao Kong.

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Kong, F., Lu, S. Existence and Uniqueness of Anti-Periodic Solutions for Prescribed Mean Curvature Rayleigh p-Laplacian Equations. Differ Equ Dyn Syst 28, 229–239 (2020). https://doi.org/10.1007/s12591-016-0316-8

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  • DOI: https://doi.org/10.1007/s12591-016-0316-8

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