Asymptotics for the resolvent equation associated to the game-theoretic $p$-laplacian

Diego Berti, Rolando Magnanini

We consider the (viscosity) solution $u^{\epsilon }$ of the elliptic equation ${\epsilon }^2{\Delta }_p^{G}u=u$ in a domain (not necessarily bounded), satisfying $u=1$ on its boundary. Her…