The behavior of the best Sobolev trace constant and extremals in thin domains
In this paper, we study the asymptotic behavior of the best Sobolev trace constant and extremals for the immersion W1,p(Ω) Lq(∂Ω) in a bounded smooth domain when it is contracted in one direction. We find that the limit problem, when rescaled in a suitable way, is a Sobolev-type immersion in weighte...
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| Autores principales: | Fernández Bonder, J., Martínez, S., Rossi, J.D. |
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| Formato: | JOUR |
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v198_n1_p129_FernandezBonder |
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