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