Regularity of the free boundary in an optimization problem related to the best sobolev trace constant

In this paper we study the regularity properties of a free boundary problem arising in the optimization of the best Sobolev trace constant in the immersion H1(Ω) → Lq(∂Ω) for functions that vanish in a subset of Ω. This problem is also related to a minimization problem for Steklov eigenvalues. © 200...

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Autores principales: Bonder, J.F., Rossi, J.D., Wolanski, N.
Formato: JOUR
Materias:
Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Eigenvalues and eigenfunctions
Mathematical models
Optimization
Problem solving
Theorem proving
Boundary value problems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03630129_v44_n5_p1614_Bonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03630129_v44_n5_p1614_Bonder
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spelling todo:paper_03630129_v44_n5_p1614_Bonder2023-10-03T15:27:29Z Regularity of the free boundary in an optimization problem related to the best sobolev trace constant Bonder, J.F. Rossi, J.D. Wolanski, N. Eigenvalue optimization problems Free boundaries Sobolev trace constant Eigenvalues and eigenfunctions Mathematical models Optimization Problem solving Theorem proving Eigenvalue optimization problems Free boundaries Sobolev trace constant Boundary value problems In this paper we study the regularity properties of a free boundary problem arising in the optimization of the best Sobolev trace constant in the immersion H1(Ω) → Lq(∂Ω) for functions that vanish in a subset of Ω. This problem is also related to a minimization problem for Steklov eigenvalues. © 2005 Society for Industrial and Applied Mathematics. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Wolanski, N. 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_03630129_v44_n5_p1614_Bonder
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Eigenvalues and eigenfunctions
Mathematical models
Optimization
Problem solving
Theorem proving
Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Boundary value problems
spellingShingle Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Eigenvalues and eigenfunctions
Mathematical models
Optimization
Problem solving
Theorem proving
Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Boundary value problems
Bonder, J.F.
Rossi, J.D.
Wolanski, N.
Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
topic_facet Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Eigenvalues and eigenfunctions
Mathematical models
Optimization
Problem solving
Theorem proving
Eigenvalue optimization problems
Free boundaries
Sobolev trace constant
Boundary value problems
description In this paper we study the regularity properties of a free boundary problem arising in the optimization of the best Sobolev trace constant in the immersion H1(Ω) → Lq(∂Ω) for functions that vanish in a subset of Ω. This problem is also related to a minimization problem for Steklov eigenvalues. © 2005 Society for Industrial and Applied Mathematics.
format JOUR
author Bonder, J.F.
Rossi, J.D.
Wolanski, N.
author_facet Bonder, J.F.
Rossi, J.D.
Wolanski, N.
author_sort Bonder, J.F.
title Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
title_short Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
title_full Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
title_fullStr Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
title_full_unstemmed Regularity of the free boundary in an optimization problem related to the best sobolev trace constant
title_sort regularity of the free boundary in an optimization problem related to the best sobolev trace constant
url http://hdl.handle.net/20.500.12110/paper_03630129_v44_n5_p1614_Bonder
work_keys_str_mv AT bonderjf regularityofthefreeboundaryinanoptimizationproblemrelatedtothebestsobolevtraceconstant
AT rossijd regularityofthefreeboundaryinanoptimizationproblemrelatedtothebestsobolevtraceconstant
AT wolanskin regularityofthefreeboundaryinanoptimizationproblemrelatedtothebestsobolevtraceconstant
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