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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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
Keywords
- Leray–Schauder degree theory
- Prescribed mean curvature equation
- Anti-periodic solutions
- p-Laplacian equation