The best Sobolev trace constant in domains with holes for critical or subcritical exponents

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In this paper we study the best constant in the Sobolev trace embedding H1 (Ω) → Lq(∂Ω) in a bounded smooth domain for 1 < q ≤ 2+ = 2(N - 1)/(N - 2), that is, critical or subcritical q. First, we consider a domain with periodically distributed holes inside which we impose that the involved fu...

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Detalles Bibliográficos
Autores principales: Fernandezbonder, J., Orive, R., Rossi, J.D.
Formato: JOUR
Materias:
homogenization
nonlinear boundary conditions
Sobolev trace embedding.
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14461811_v49_n2_p213_Fernandezbonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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