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

• Published in: Revista matemática iberoamericana Vol. 40; no. 2; p. 1023
• Main Authors: Arroyo, Angel, Parviainen, Mikko
• Format: Journal Article
• Language: Spanish
• Published: European Mathematical Society Publishing House 01.06.2024
• Subjects: Analysis; Differential equations

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 Holder continuity of solutions can be directly derived from recent Krylov-Safonov type regularity results in the singula...