Optimal regularity for the pseudo infinity Laplacian

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Rossi, Julio Daniel
Publicado: 2007
Materias:
Optimal regularity
Pseudo infinity Laplacian
Viscosity solutions
Laplace equation
Problem solving
Viscosity
Optimal control systems
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12928119_v13_n2_p294_Rossi
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
id paper:paper_12928119_v13_n2_p294_Rossi
record_format dspace
spelling paper:paper_12928119_v13_n2_p294_Rossi2023-06-08T16:10:14Z Optimal regularity for the pseudo infinity Laplacian Rossi, Julio Daniel 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12928119_v13_n2_p294_Rossi 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)
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, Julio Daniel
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.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_12928119_v13_n2_p294_Rossi
http://hdl.handle.net/20.500.12110/paper_12928119_v13_n2_p294_Rossi
work_keys_str_mv AT rossijuliodaniel optimalregularityforthepseudoinfinitylaplacian
_version_ 1768542000536092672

Ejemplares similares