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

2011/07/30 by Charro, Fernando, De Philippis, Guido, Di Castro, Agnese +1 · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1108.0113

Abstract

We prove L^∞ 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 \textfor n

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