Approximation of the Sobolev trace constant

In this paper we study the Sobolev trace immersion W1,p (Ω) rightwards arrow with hook Lq(∂Ω) with 1 < q < p * = p(N-1)/N-p if p > N. We present an approximation procedure for the determination of the Sobolev trace constant and extremals, that is the best constant that verifies...

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Autor principal: Rossi, J.D.
Formato: JOUR
Materias:
Nonlinear boundary conditions
Numerical approximations
p-Laplacian
Sobolev trace constant
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_13152068_v11_n2_p109_Rossi
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_13152068_v11_n2_p109_Rossi
record_format dspace
spelling todo:paper_13152068_v11_n2_p109_Rossi2023-10-03T16:09:22Z Approximation of the Sobolev trace constant Rossi, J.D. Nonlinear boundary conditions Numerical approximations p-Laplacian Sobolev trace constant In this paper we study the Sobolev trace immersion W1,p (Ω) rightwards arrow with hook Lq(∂Ω) with 1 < q < p * = p(N-1)/N-p if p > N. We present an approximation procedure for the determination of the Sobolev trace constant and extremals, that is the best constant that verifies S1/p∥u∥ Lq(∂Ω) ≤ ∥u∥W1,p(Ω) and the functions where this constant is attained. Fil:Rossi, J.D. 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_13152068_v11_n2_p109_Rossi
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Nonlinear boundary conditions
Numerical approximations
p-Laplacian
Sobolev trace constant
spellingShingle Nonlinear boundary conditions
Numerical approximations
p-Laplacian
Sobolev trace constant
Rossi, J.D.
Approximation of the Sobolev trace constant
topic_facet Nonlinear boundary conditions
Numerical approximations
p-Laplacian
Sobolev trace constant
description In this paper we study the Sobolev trace immersion W1,p (Ω) rightwards arrow with hook Lq(∂Ω) with 1 < q < p * = p(N-1)/N-p if p > N. We present an approximation procedure for the determination of the Sobolev trace constant and extremals, that is the best constant that verifies S1/p∥u∥ Lq(∂Ω) ≤ ∥u∥W1,p(Ω) and the functions where this constant is attained.
format JOUR
author Rossi, J.D.
author_facet Rossi, J.D.
author_sort Rossi, J.D.
title Approximation of the Sobolev trace constant
title_short Approximation of the Sobolev trace constant
title_full Approximation of the Sobolev trace constant
title_fullStr Approximation of the Sobolev trace constant
title_full_unstemmed Approximation of the Sobolev trace constant
title_sort approximation of the sobolev trace constant
url http://hdl.handle.net/20.500.12110/paper_13152068_v11_n2_p109_Rossi
work_keys_str_mv AT rossijd approximationofthesobolevtraceconstant
_version_ 1807322415400747008

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