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
Publicado: 2018
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli
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 paper:paper_08934983_v31_n1-2_p75_DeNapoli
record_format dspace
spelling paper:paper_08934983_v31_n1-2_p75_DeNapoli2023-06-08T15:47:33Z 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 theorems for a Sobolev-type space of radial functions with power weights. © 2018 Khayyam Publishing. All rights reserved. 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli 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.
title Symmetry breaking for an elliptic equation involving the fractional Laplacian
spellingShingle 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
publishDate 2018
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08934983_v31_n1-2_p75_DeNapoli
http://hdl.handle.net/20.500.12110/paper_08934983_v31_n1-2_p75_DeNapoli
_version_ 1768545652438990848

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