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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Autores principales: Del Pezzo, L.M., Rossi, J.D., Salort, A.M.
Formato: INPR
Materias:
nonlocal problems
Sobolev inequalities
Steklov eigenvalues
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03082105_v_n_p1_DelPezzo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_03082105_v_n_p1_DelPezzo2023-10-03T15:22:47Z Fractional eigenvalue problems that approximate Steklov eigenvalue problems Del Pezzo, L.M. Rossi, J.D. Salort, A.M. 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 INPR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Del Pezzo, L.M.
Rossi, J.D.
Salort, A.M.
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
format INPR
author Del Pezzo, L.M.
Rossi, J.D.
Salort, A.M.
author_facet Del Pezzo, L.M.
Rossi, J.D.
Salort, A.M.
author_sort Del Pezzo, L.M.
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
url http://hdl.handle.net/20.500.12110/paper_03082105_v_n_p1_DelPezzo
work_keys_str_mv AT delpezzolm fractionaleigenvalueproblemsthatapproximatestekloveigenvalueproblems
AT rossijd fractionaleigenvalueproblemsthatapproximatestekloveigenvalueproblems
AT salortam fractionaleigenvalueproblemsthatapproximatestekloveigenvalueproblems
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