Optimal regularity for the pseudo infinity Laplacian

Rossi, Julio D.; Saez, Mariel

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Optimal regularity for the pseudo infinity Laplacian

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Saez, Mariel
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Rossi, J. D., & Saez, M. (2007). Optimal regularity for the pseudo infinity Laplacian. ESAIM: Control, Optimisation and Calculus of Variations, 13(2), 294-304. Retrieved from http://www.edpsciences.org/articles/cocv/abs/2007/02/cocv0619/cocv0619.html.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4956-3

Abstract

In this paper we find the optimal regularity for viscosity solutions of the pseudo infinity Laplacian. We prove that the solutions are locally Lipschitz and show an example that proves that this result is optimal. We also show existence and uniqueness for the Dirichlet problem.