Limit problems for a fractional p-laplacian as p → ∞

The purpose of this work is the analysis of the solutions to the following problems related to the fractional p-Laplacian in a Lipschitzian bounded domain Ω ⊂ RN, (FORMULA PRESENTED), where α ∈ (0, 1) and the exponent p goes to infinity.In particular we will analyze the cases: (FORMULA PRESENTED). W...

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Autores principales: Ferreira, R., Pérez-Llanos, M.
Formato: JOUR
Materias:
Fractional p-Laplacian
Nonlocal problems
Viscosity solutions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10219722_v23_n2_p_Ferreira
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_10219722_v23_n2_p_Ferreira
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spelling todo:paper_10219722_v23_n2_p_Ferreira2023-10-03T15:56:44Z Limit problems for a fractional p-laplacian as p → ∞ Ferreira, R. Pérez-Llanos, M. Fractional p-Laplacian Nonlocal problems Viscosity solutions The purpose of this work is the analysis of the solutions to the following problems related to the fractional p-Laplacian in a Lipschitzian bounded domain Ω ⊂ RN, (FORMULA PRESENTED), where α ∈ (0, 1) and the exponent p goes to infinity.In particular we will analyze the cases: (FORMULA PRESENTED). We show the convergence of the solutions to certain limit as p →∞and identify the limit equation. In both cases,the limit problem is closely related to the Infinity Fractional Laplacian: (FORMULA PRESENTED), where (FORMULA PRESENTED). © 2016 Springer International Publishing. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10219722_v23_n2_p_Ferreira
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fractional p-Laplacian
Nonlocal problems
Viscosity solutions
spellingShingle Fractional p-Laplacian
Nonlocal problems
Viscosity solutions
Ferreira, R.
Pérez-Llanos, M.
Limit problems for a fractional p-laplacian as p → ∞
topic_facet Fractional p-Laplacian
Nonlocal problems
Viscosity solutions
description The purpose of this work is the analysis of the solutions to the following problems related to the fractional p-Laplacian in a Lipschitzian bounded domain Ω ⊂ RN, (FORMULA PRESENTED), where α ∈ (0, 1) and the exponent p goes to infinity.In particular we will analyze the cases: (FORMULA PRESENTED). We show the convergence of the solutions to certain limit as p →∞and identify the limit equation. In both cases,the limit problem is closely related to the Infinity Fractional Laplacian: (FORMULA PRESENTED), where (FORMULA PRESENTED). © 2016 Springer International Publishing.
format JOUR
author Ferreira, R.
Pérez-Llanos, M.
author_facet Ferreira, R.
Pérez-Llanos, M.
author_sort Ferreira, R.
title Limit problems for a fractional p-laplacian as p → ∞
title_short Limit problems for a fractional p-laplacian as p → ∞
title_full Limit problems for a fractional p-laplacian as p → ∞
title_fullStr Limit problems for a fractional p-laplacian as p → ∞
title_full_unstemmed Limit problems for a fractional p-laplacian as p → ∞
title_sort limit problems for a fractional p-laplacian as p → ∞
url http://hdl.handle.net/20.500.12110/paper_10219722_v23_n2_p_Ferreira
work_keys_str_mv AT ferreirar limitproblemsforafractionalplaplacianasp
AT perezllanosm limitproblemsforafractionalplaplacianasp
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