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dc.contributor.author
del Pezzo, Leandro Martin  
dc.date.available
2017-05-16T15:21:13Z  
dc.date.issued
2010-08  
dc.identifier.citation
del Pezzo, Leandro Martin; Optimization problem for extremals of the trace inequality in domains with holes; World Scientific; Communications In Contemporary Mathematics; 12; 4; 8-2010; 569-586  
dc.identifier.issn
0219-1997  
dc.identifier.uri
http://hdl.handle.net/11336/16533  
dc.description.abstract
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 critical when we consider deformation that preserve volume but is not optimal for some case.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
World Scientific  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Sobolev Trace Embedding  
dc.subject
Shape Derivative  
dc.subject
Steklov Eigenvalues  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Optimization problem for extremals of the trace inequality in domains with holes  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-05-15T21:09:08Z  
dc.identifier.eissn
1793-6683  
dc.journal.volume
12  
dc.journal.number
4  
dc.journal.pagination
569-586  
dc.journal.pais
Singapur  
dc.description.fil
Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Communications In Contemporary Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219199710003920  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219199710003920  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0809.0246  

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