Fractional eigenvalue problems that approximate Steklov eigenvalue problems

In this paper we analyse possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a non-local eigenvalue problem of fractional type that approximates, when taking a suitable limit, the classical Steklov eigenvalue problem. Copyright © Royal So...

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Detalles Bibliográficos
Publicado: 2017
Materias:
nonlocal problems
Sobolev inequalities
Steklov eigenvalues
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03082105_v_n_p1_DelPezzo
http://hdl.handle.net/20.500.12110/paper_03082105_v_n_p1_DelPezzo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03082105_v_n_p1_DelPezzo
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spelling paper:paper_03082105_v_n_p1_DelPezzo2023-06-08T15:31:36Z Fractional eigenvalue problems that approximate Steklov eigenvalue problems nonlocal problems Sobolev inequalities Steklov eigenvalues In this paper we analyse possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a non-local eigenvalue problem of fractional type that approximates, when taking a suitable limit, the classical Steklov eigenvalue problem. Copyright © Royal Society of Edinburgh 2017 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03082105_v_n_p1_DelPezzo http://hdl.handle.net/20.500.12110/paper_03082105_v_n_p1_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 nonlocal problems
Sobolev inequalities
Steklov eigenvalues
spellingShingle nonlocal problems
Sobolev inequalities
Steklov eigenvalues
Fractional eigenvalue problems that approximate Steklov eigenvalue problems
topic_facet nonlocal problems
Sobolev inequalities
Steklov eigenvalues
description In this paper we analyse possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a non-local eigenvalue problem of fractional type that approximates, when taking a suitable limit, the classical Steklov eigenvalue problem. Copyright © Royal Society of Edinburgh 2017
title Fractional eigenvalue problems that approximate Steklov eigenvalue problems
title_short Fractional eigenvalue problems that approximate Steklov eigenvalue problems
title_full Fractional eigenvalue problems that approximate Steklov eigenvalue problems
title_fullStr Fractional eigenvalue problems that approximate Steklov eigenvalue problems
title_full_unstemmed Fractional eigenvalue problems that approximate Steklov eigenvalue problems
title_sort fractional eigenvalue problems that approximate steklov eigenvalue problems
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03082105_v_n_p1_DelPezzo
http://hdl.handle.net/20.500.12110/paper_03082105_v_n_p1_DelPezzo
_version_ 1768545143847124992

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