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Research Article | Open Access

Periodic solutions of the Lp-Minkowski problem with indefinite weight

Zhibo Cheng1, Pedro J. Torres2( )
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454003, China
Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, Granada 18071, Spain
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Abstract

We provide a new sufficient condition for the existence of a periodic solution of the singular differential equation

u″+u=h(t)uρ,

which is associated with the planar Lp-Minkowski problem. A similar result is valid for the conformal version of the problem.

Keywords

Lp-Minkowski problemsingular differential equationindefinite weightperiodic solution

References

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Mathematical Modelling and Control
Volume 2 Issue 1,
March 2022
Pages 7-12
DOI: 10.3934/mmc.2022002

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Cite this article:
Cheng Z, Torres PJ. Periodic solutions of the Lp-Minkowski problem with indefinite weight. Mathematical Modelling and Control, 2022, 2(1): 7-12. https://doi.org/10.3934/mmc.2022002

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Received: 11 December 2021
Accepted: 08 January 2022
Published: 15 March 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)