Optimal boundary holes for the Sobolev trace constant
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient ∥u∥W1,p(ω)p/∥u∥Lq(∂ω)p among functions that vanish in a set contained on the boundary ∂ ω of given boundary measure.We prove existence of extremals for this problem, and analyze some particular cases where informati...
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| Autores principales: | Del Pezzo, Leandro M., Fernandez Bonder, Julian |
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| Publicado: |
2011
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| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v251_n8_p2327_DelPezzo http://hdl.handle.net/20.500.12110/paper_00220396_v251_n8_p2327_DelPezzo |
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