| dc.creator | del Pezzo, Leandro Martin | |
| dc.date.accessioned | 2017-05-16T15:21:13Z | |
| dc.date.available | 2017-05-16T15:21:13Z | |
| dc.date.created | 2017-05-16T15:21:13Z | |
| dc.date.issued | 2010-08 | |
| dc.identifier | 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 | 0219-1997 | |
| dc.identifier | http://hdl.handle.net/11336/16533 | |
| dc.identifier | 1793-6683 | |
| 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.language | eng | |
| dc.publisher | World Scientific | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1142/S0219199710003920 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.worldscientific.com/doi/abs/10.1142/S0219199710003920 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0809.0246 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Sobolev Trace Embedding | |
| dc.subject | Shape Derivative | |
| dc.subject | Steklov Eigenvalues | |
| 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 | |
