Periodic solutions of the Lp-Minkowski problem with indefinite weight
Metadatos
Afficher la notice complèteEditorial
AIMS
Materia
Lp-Minkowski problem Singular differential equation Indefinite weight Periodic solution
Date
2022-01-19Referencia bibliográfica
Zhibo Cheng, Pedro J. Torres. Periodic solutions of the LpLp L_p -Minkowski problem with indefinite weight[J]. Mathematical Modelling and Control, 2022, 2(1): 7-12. doi: [10.3934/mmc.2022002]
Patrocinador
National Natural Science Foundation of China (NSFC) 11501170; Technological innovation talents in universities and colleges in Henan Province 21HASTIT025Résumé
We provide a new sufficient condition for the existence of a periodic solution of the singular differential equation
u '' + u = 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.