A mixed problem for the infinity laplacian via Tug-of-War games

Fernando Charro, Jesus Garcia Azorero, Julio D. Rossi

In this paper we prove that a function $u\in \mathcal{C}(\bar{\Omega })$ is the continuous value of the Tug-of-War game described in \cite{PSSW} if and only if it is the unique viscosity s…