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

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

2011-07-30

arxiv.org/abs/1108.0113v1

Mathematics

Analysis of PDEs

Scientific paper

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 \[ -\Delta_p^N u=f\qquad\text{for $n

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