Hölder estimate for a tug-of-war game with 1 < p < 2 from Krylov–Safonov regularity theory

  1. Ángel Arroyo 1
  2. Mikko Parviainen 2
  1. 1 Universidad de Alicante, Spain
  2. 2 University of Jyväskylä, Finland
Revista:
Revista matemática iberoamericana

ISSN: 0213-2230

Año de publicación: 2024

Volumen: 40

Número: 3

Páginas: 1023-1044

Tipo: Artículo

DOI: 10.4171/RMI/1462 DIALNET GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Revista matemática iberoamericana

Resumen

We propose a new version of the tug-of-war game and a corresponding dynamic programming principle related to the p-Laplacian with 1 < p < 2. For this version, the asymptotic Hölder continuity of solutions can be directly derived from recent Krylov–Safonov type regularity results in the singular case. Moreover, existence of a measurable solution can be obtained without using boundary corrections. We also establish a comparison principle.

Fuente de los datos: Dialnet