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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Detalles Bibliográficos
Publicado: 2018
Materias:
fractional laplacian
nonlinear eigenvalues
Optimization
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p632_DelPezzo
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 paper:paper_0025584X_v291_n4_p632_DelPezzo
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spelling paper:paper_0025584X_v291_n4_p632_DelPezzo2023-06-08T14:53:21Z An optimization problem for the first eigenvalue of the p-fractional Laplacian 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 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p632_DelPezzo 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
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
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
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p632_DelPezzo
http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p632_DelPezzo
_version_ 1768544674713174016

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