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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2018
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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 |
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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 |
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1768545652438990848 |