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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Detalles Bibliográficos
Autores principales: Rossi, J.D., Saez, M.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2007
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
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spelling paperaa:paper_12928119_v13_n2_p294_Rossi2023-06-12T16:49:48Z Optimal regularity for the pseudo infinity Laplacian Control Optimisation Calc. Var. 2007;13(2):294-304 Rossi, J.D. Saez, M. Optimal regularity Pseudo infinity Laplacian Viscosity solutions Laplace equation Problem solving Viscosity Optimal regularity Pseudo infinity Laplacian Viscosity solutions Optimal control systems 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. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_12928119_v13_n2_p294_Rossi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Laplace equation
Problem solving
Viscosity
Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Optimal control systems
spellingShingle Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Laplace equation
Problem solving
Viscosity
Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Optimal control systems
Rossi, J.D.
Saez, M.
Optimal regularity for the pseudo infinity Laplacian
topic_facet Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Laplace equation
Problem solving
Viscosity
Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Optimal control systems
description 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.
format Artículo
Artículo
publishedVersion
author Rossi, J.D.
Saez, M.
author_facet Rossi, J.D.
Saez, M.
author_sort Rossi, J.D.
title Optimal regularity for the pseudo infinity Laplacian
title_short Optimal regularity for the pseudo infinity Laplacian
title_full Optimal regularity for the pseudo infinity Laplacian
title_fullStr Optimal regularity for the pseudo infinity Laplacian
title_full_unstemmed Optimal regularity for the pseudo infinity Laplacian
title_sort optimal regularity for the pseudo infinity laplacian
publishDate 2007
url http://hdl.handle.net/20.500.12110/paper_12928119_v13_n2_p294_Rossi
work_keys_str_mv AT rossijd optimalregularityforthepseudoinfinitylaplacian
AT saezm optimalregularityforthepseudoinfinitylaplacian
_version_ 1769810399109054464

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