Hausdorff dimension of rupture sets and removable singularities
Author | dc.contributor.author | Dávila, Juan | |
Author | dc.contributor.author | Ponce, Augusto C. | es_CL |
Admission date | dc.date.accessioned | 2010-01-28T18:10:38Z | |
Available date | dc.date.available | 2010-01-28T18:10:38Z | |
Publication date | dc.date.issued | 2008-01 | |
Cita de ítem | dc.identifier.citation | COMPTES RENDUS MATHEMATIQUE Volume: 346 Issue: 1-2 Pages: 27-32 Published: JAN 2008 | en_US |
Identifier | dc.identifier.issn | 1631-073X | |
Identifier | dc.identifier.other | 10.1016/j.crma.2007.11.007 | |
Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/125283 | |
Abstract | dc.description.abstract | Given alpha > 0 and a domain Omega C R-N, we show that for every finite energy solution it u >= 0 of the equation -Delta u + u(-alpha) = f (x) 2 in Omega, the set [u = 0] has Hausdorff dimension at most N - 2 + 2/alpha+1. The proof is based on a removable singularity property of the Laplacian Delta. | en_US |
Lenguage | dc.language.iso | en | en_US |
Publisher | dc.publisher | ELSEVIER | en_US |
Keywords | dc.subject | ELLIPTIC EQUATION | en_US |
Título | dc.title | Hausdorff dimension of rupture sets and removable singularities | en_US |
Document type | dc.type | Artículo de revista |
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