Monotonicity of the period and positive periodic solutions of a quasilinear equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Monotonicity of the period and positive periodic solutions of a quasilinear equation

Abstract

We investigate the monotonicity of the minimal period of the periodic solutions of some quasilinear differential equations and extend results for p=2 due to Chow and Wang, and Chicone, to the case of the p-Laplace operator. Our main result is the monotonicity of the period of optimal functions for a minimization problem related with a fundamental interpolation inequality. In particular we generalize to p≥2 a recent proof of monotonicity due to Benguria, Depassier and~Loss for the same optimality issue and p=2.
Fichier principal
Vignette du fichier
DGHM23.pdf (371.41 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03924391 , version 1 (05-01-2023)
hal-03924391 , version 2 (22-03-2023)
hal-03924391 , version 3 (27-11-2023)
hal-03924391 , version 4 (11-04-2024)

Identifiers

  • HAL Id : hal-03924391 , version 3

Cite

Jean Dolbeault, Marta García-Huidobro, Raúl Manásevich. Monotonicity of the period and positive periodic solutions of a quasilinear equation. 2023. ⟨hal-03924391v3⟩
49 View
46 Download

Share

Gmail Facebook X LinkedIn More