Optimal regularity for the pseudo infinity Laplacian

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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. © EDP Sciences, SMAI...

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Guardado en:
Detalles Bibliográficos
Autores principales: Rossi, J.D., Saez, M.
Formato: JOUR
Materias:
Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Laplace equation
Problem solving
Viscosity
Optimal control systems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_12928119_v13_n2_p294_Rossi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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. © EDP Sciences, SMAI 2007.

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