A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian

Abstract

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.

11 pages. arXiv admin note: text overlap with arXiv:1410.6115

References in corpus (1)

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

Cited by in corpus (3)

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