Periodic solutions of the L<sub>p</sub>-Minkowski problem with indefinite weight

We provide a new sufficient condition for the existence of a periodic solution of the singular differential equation $ u''+u = \frac{h(t)}{u^\rho}, $ which is associated with the planar $ L_p $-Minkowski problem. A similar result is valid for the conformal version of the problem.

Bibliographic Details
Main Authors: Zhibo Cheng, Pedro J. Torres
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:Mathematical Modelling and Control
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mmc.2022002?viewType=HTML