On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian

Fernando Charro, Guido De Philippis, Agnese Di Castro +1

We prove $L^{\infty }$ bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the normalized infinity and $p$-Laplacian, namely \[ -Δ_p^N u=f\qquad\…