Optimization problem for extremals of the trace inequality in domains with holes
We study the Sobolev trace constant for functions defined in a bounded domain Ω that vanish in the subset A. We find a formula for the first variation of the Sobolev trace with respect to the hole. As a consequence of this formula, we prove that when Ω is a centered ball, the symmetric hole is criti...
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| Autor principal: | Del Pezzo, Leandro M. |
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| Publicado: |
2010
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| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02191997_v12_n4_p569_DelPezzo http://hdl.handle.net/20.500.12110/paper_02191997_v12_n4_p569_DelPezzo |
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