An optimization problem related to the best Sobolev trace constant in thin domains

Let Ω ⊂ ℝN be a bounded, smooth domain. We deal with the best constant of the Sobolev trace embedding W1,p(Ω) Rightwards arrow with hook sign Lq (∂Ω) for functions that vanish in a subset A ⊂ Ω, which we call the hole, i.e. we deal with the minimization problem SA = inf||u||W 1,p(ω)p/||u||Lq(∂ω) for...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bonder, J.F., Rossi, J.D., SchÖnlieb, C.-B.
Formato: JOUR
Materias:
Calculus of variations
Optimal design
Sobolev trace embedding
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02191997_v10_n5_p633_Bonder
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

Ejemplares similares

Ejemplares similares