The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian

In this paper we study asymptotics as {Mathematical expression} of the Dirichlet eigenvalue problem for the {Mathematical expression}-homogeneous {Mathematical expression}-Laplacian, that is, {Mathematical expression}Here {Mathematical expression} is a bounded starshaped domain in {Mathematical expr...

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Autores principales: Martínez-Aparicio, P.J., Pérez-Llanos, M., Rossi, J.D.
Formato: INPR
Lenguaje:English
Materias:
Infinity Laplacian
{Mathematical expression}-Homogeneous {Mathematical expression}-Laplacian
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11391138_v_n_p1_MartinezAparicio
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11391138_v_n_p1_MartinezAparicio
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spelling todo:paper_11391138_v_n_p1_MartinezAparicio2023-10-03T16:08:01Z The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian Martínez-Aparicio, P.J. Pérez-Llanos, M. Rossi, J.D. Infinity Laplacian {Mathematical expression}-Homogeneous {Mathematical expression}-Laplacian In this paper we study asymptotics as {Mathematical expression} of the Dirichlet eigenvalue problem for the {Mathematical expression}-homogeneous {Mathematical expression}-Laplacian, that is, {Mathematical expression}Here {Mathematical expression} is a bounded starshaped domain in {Mathematical expression} and {Mathematical expression}. There exists a principal eigenvalue {Mathematical expression}, which is positive, and has associated a non-negative nontrivial eigenfunction. Moreover, we show that {Mathematical expression}, where {Mathematical expression} is the first eigenvalue corresponding to the {Mathematical expression}-homogeneous infinity Laplacian, that is, {Mathematical expression}. © 2013 Universidad Complutense de Madrid. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. INPR English info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11391138_v_n_p1_MartinezAparicio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language English
orig_language_str_mv English
topic Infinity Laplacian
{Mathematical expression}-Homogeneous {Mathematical expression}-Laplacian
spellingShingle Infinity Laplacian
{Mathematical expression}-Homogeneous {Mathematical expression}-Laplacian
Martínez-Aparicio, P.J.
Pérez-Llanos, M.
Rossi, J.D.
The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian
topic_facet Infinity Laplacian
{Mathematical expression}-Homogeneous {Mathematical expression}-Laplacian
description In this paper we study asymptotics as {Mathematical expression} of the Dirichlet eigenvalue problem for the {Mathematical expression}-homogeneous {Mathematical expression}-Laplacian, that is, {Mathematical expression}Here {Mathematical expression} is a bounded starshaped domain in {Mathematical expression} and {Mathematical expression}. There exists a principal eigenvalue {Mathematical expression}, which is positive, and has associated a non-negative nontrivial eigenfunction. Moreover, we show that {Mathematical expression}, where {Mathematical expression} is the first eigenvalue corresponding to the {Mathematical expression}-homogeneous infinity Laplacian, that is, {Mathematical expression}. © 2013 Universidad Complutense de Madrid.
format INPR
author Martínez-Aparicio, P.J.
Pérez-Llanos, M.
Rossi, J.D.
author_facet Martínez-Aparicio, P.J.
Pérez-Llanos, M.
Rossi, J.D.
author_sort Martínez-Aparicio, P.J.
title The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian
title_short The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian
title_full The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian
title_fullStr The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian
title_full_unstemmed The limit as {Mathematical expression} for the eigenvalue problem of the 1-homogeneous {Mathematical expression}-Laplacian
title_sort limit as {mathematical expression} for the eigenvalue problem of the 1-homogeneous {mathematical expression}-laplacian
url http://hdl.handle.net/20.500.12110/paper_11391138_v_n_p1_MartinezAparicio
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