A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian
Graziano Crasta, Ilaria Fragalà · Proceedings of the American Mathematical Society · 2015
We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of $\mathbb {R}^N$ is of class $C^1$. The result is obtained by showing as an intermediate step the power-concavity (of exponent $1/2$) of the solution.