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arXiv · 1506.05305

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

Graziano Crasta·Ilaria Fragalà
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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.

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Graziano Crasta, Ilaria Fragalà. 2015-06-17. A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian. https://doi.org/10.1090/proc%2F12916

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