An optimization problem for the first eigenvalue of the p-fractional Laplacian

In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependen...

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Autores principales: Del Pezzo, L., Fernández Bonder, J., López Ríos, L.
Formato: JOUR
Materias:
fractional laplacian
nonlinear eigenvalues
Optimization
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0025584X_v291_n4_p632_DelPezzo
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spelling todo:paper_0025584X_v291_n4_p632_DelPezzo2023-10-03T14:36:21Z An optimization problem for the first eigenvalue of the p-fractional Laplacian Del Pezzo, L. Fernández Bonder, J. López Ríos, L. fractional laplacian nonlinear eigenvalues Optimization In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo
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 laplacian
nonlinear eigenvalues
Optimization
spellingShingle fractional laplacian
nonlinear eigenvalues
Optimization
Del Pezzo, L.
Fernández Bonder, J.
López Ríos, L.
An optimization problem for the first eigenvalue of the p-fractional Laplacian
topic_facet fractional laplacian
nonlinear eigenvalues
Optimization
description In this paper we analyze an eigenvalue problem related to the nonlocal p-Laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of these operators (existence, positivity of associated eigenfunctions, simplicity and isolation) we investigate the dependence of the first eigenvalue on the potential function and establish the existence of some optimal potentials in some admissible classes. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
format JOUR
author Del Pezzo, L.
Fernández Bonder, J.
López Ríos, L.
author_facet Del Pezzo, L.
Fernández Bonder, J.
López Ríos, L.
author_sort Del Pezzo, L.
title An optimization problem for the first eigenvalue of the p-fractional Laplacian
title_short An optimization problem for the first eigenvalue of the p-fractional Laplacian
title_full An optimization problem for the first eigenvalue of the p-fractional Laplacian
title_fullStr An optimization problem for the first eigenvalue of the p-fractional Laplacian
title_full_unstemmed An optimization problem for the first eigenvalue of the p-fractional Laplacian
title_sort optimization problem for the first eigenvalue of the p-fractional laplacian
url http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo
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AT fernandezbonderj anoptimizationproblemforthefirsteigenvalueofthepfractionallaplacian
AT lopezriosl anoptimizationproblemforthefirsteigenvalueofthepfractionallaplacian
AT delpezzol optimizationproblemforthefirsteigenvalueofthepfractionallaplacian
AT fernandezbonderj optimizationproblemforthefirsteigenvalueofthepfractionallaplacian
AT lopezriosl optimizationproblemforthefirsteigenvalueofthepfractionallaplacian
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