A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian
Analysis of PDEs
2017-08-29 v1
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 is of class . The result is obtained by showing as an intermediate step the power-concavity (of exponent ) of the solution.
Cite
@article{arxiv.1506.05305,
title = {A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian},
author = {Graziano Crasta and Ilaria Fragalà},
journal= {arXiv preprint arXiv:1506.05305},
year = {2017}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1410.6115