Symmetry breaking for an elliptic equation involving the fractional Laplacian

We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theo...

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Detalles Bibliográficos
Autor principal: De Nápoli, P.L.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08934983_v31_n1-2_p75_DeNapoli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_08934983_v31_n1-2_p75_DeNapoli
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spelling todo:paper_08934983_v31_n1-2_p75_DeNapoli2023-10-03T15:41:46Z Symmetry breaking for an elliptic equation involving the fractional Laplacian De Nápoli, P.L. We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights. © 2018 Khayyam Publishing. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_08934983_v31_n1-2_p75_DeNapoli
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study the symmetry breaking phenomenon for an elliptic equation involving the fractional Laplacian in a large ball. Our main tool is an extension of the Strauss radial lemma involving the fractional Laplacian, which might be of independent interest; and from which we derive compact embedding theorems for a Sobolev-type space of radial functions with power weights. © 2018 Khayyam Publishing. All rights reserved.
format JOUR
author De Nápoli, P.L.
spellingShingle De Nápoli, P.L.
Symmetry breaking for an elliptic equation involving the fractional Laplacian
author_facet De Nápoli, P.L.
author_sort De Nápoli, P.L.
title Symmetry breaking for an elliptic equation involving the fractional Laplacian
title_short Symmetry breaking for an elliptic equation involving the fractional Laplacian
title_full Symmetry breaking for an elliptic equation involving the fractional Laplacian
title_fullStr Symmetry breaking for an elliptic equation involving the fractional Laplacian
title_full_unstemmed Symmetry breaking for an elliptic equation involving the fractional Laplacian
title_sort symmetry breaking for an elliptic equation involving the fractional laplacian
url http://hdl.handle.net/20.500.12110/paper_08934983_v31_n1-2_p75_DeNapoli
work_keys_str_mv AT denapolipl symmetrybreakingforanellipticequationinvolvingthefractionallaplacian
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