On the Dirichlet and Serrin problems for the inhomogeneous infinity Laplacian in convex domains: Regularity and geometric results

Graziano Crasta, Ilaria Fragala'

Given an open bounded subset $\Omega$ of ${\mathbb{R}}^n$, which is convex and satisfies an interior sphere condition, we consider the pde $-{\Delta }_{\infty }u=1$ in $\Omega$, subject to the homog…