Optimal regularity for the pseudo infinity Laplacian

Rossi, Julio D.; Saez, Mariel

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Optimal regularity for the pseudo infinity Laplacian

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.

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Datensatz-Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4956-3 Versions-Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-4957-1

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Urheber:
Rossi, Julio D., Autor
Saez, Mariel¹, Autor

Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012

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Zusammenfassung: 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.