The sharp affine L2 Sobolev trace inequality and variants

We establish a sharp affineLp Sobolev trace inequality by using the Lp Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers...

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Autores principales:	de Nápoli, P.L., Haddad, J., Jiménez, C.H., Montenegro, M.
Formato:	JOUR
Materias:	51M16 Primary 46E35 Secondary 46E39
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00255831_v370_n1-2_p287_deNapoli
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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spelling	todo:paper_00255831_v370_n1-2_p287_deNapoli2023-10-03T14:36:19Z The sharp affine L2 Sobolev trace inequality and variants de Nápoli, P.L. Haddad, J. Jiménez, C.H. Montenegro, M. 51M16 Primary 46E35 Secondary 46E39 We establish a sharp affineLp Sobolev trace inequality by using the Lp Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed. © 2017, Springer-Verlag Berlin Heidelberg. Fil:de Nápoli, P.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Haddad, J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00255831_v370_n1-2_p287_deNapoli
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	51M16 Primary 46E35 Secondary 46E39
spellingShingle	51M16 Primary 46E35 Secondary 46E39 de Nápoli, P.L. Haddad, J. Jiménez, C.H. Montenegro, M. The sharp affine L2 Sobolev trace inequality and variants
topic_facet	51M16 Primary 46E35 Secondary 46E39
description	We establish a sharp affineLp Sobolev trace inequality by using the Lp Busemann–Petty centroid inequality. For p= 2 , our affine version is stronger than the famous sharp L2 Sobolev trace inequality proved independently by Escobar and Beckner. Our approach allows also to characterize all extremizers in this case. For this new inequality, no Euclidean geometric structure is needed. © 2017, Springer-Verlag Berlin Heidelberg.
format	JOUR
author	de Nápoli, P.L. Haddad, J. Jiménez, C.H. Montenegro, M.
author_facet	de Nápoli, P.L. Haddad, J. Jiménez, C.H. Montenegro, M.
author_sort	de Nápoli, P.L.
title	The sharp affine L2 Sobolev trace inequality and variants
title_short	The sharp affine L2 Sobolev trace inequality and variants
title_full	The sharp affine L2 Sobolev trace inequality and variants
title_fullStr	The sharp affine L2 Sobolev trace inequality and variants
title_full_unstemmed	The sharp affine L2 Sobolev trace inequality and variants
title_sort	sharp affine l2 sobolev trace inequality and variants
url	http://hdl.handle.net/20.500.12110/paper_00255831_v370_n1-2_p287_deNapoli
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The sharp affine L2 Sobolev trace inequality and variants

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