Estimates of the best Sobolev constant of the embedding of BV (Ω) into L1(∂Ω) and related shape optimization problems

In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality λ1(Ω) ∥u∥L1(∂Ω) ≤ ∥u∥ W1,1(Ω) that are independent of Ω. These estimates generalize those of [J. Fernandez Bonder, N. Saintier, Estimates for the Sobolev trace constant with critical exponent and applic...

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Guardado en:
Detalles Bibliográficos
Publicado: 2008
Materias:
1-Laplacian
Critical exponents
Functions of bounded variations
Optimal design problems
Shape analysis
Sobolev trace embedding
Optimal systems
Optimization
Critical exponent
Optimal design
Sobolev
Shape optimization
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0362546X_v69_n8_p2479_Saintier
http://hdl.handle.net/20.500.12110/paper_0362546X_v69_n8_p2479_Saintier
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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