The best constant and extremals of the sobolev embeddings in domains with holes: The L ∞ case
LetΩ⊂ R N be a bounded domain. We study the best constant of the Sobolev trace embedding W 1,∞ (Ω) {right arrow, hooked} L ∞ (∂Ω) for functions that vanish in a subset A ⊂ Ω, which we call the hole. That is we deal with the minimization problem S T A = inf ||u|| W 1,∞ (Ω)/||u||L ∞ (∂Ω) for functions...
| Autores principales: | Bonder, J.F., Rossi, J.D., Schönlieb, C.-B. |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00192082_v52_n4_p1111_Bonder |
| Aporte de: |
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