Double-spike solutions for a critical inhomogeneous elliptic problem in domains with small holes

Author	dc.contributor.author	Alarcón, Salomón
Admission date	dc.date.accessioned	2010-01-06T13:21:47Z
Available date	dc.date.available	2010-01-06T13:21:47Z
Publication date	dc.date.issued	2008
Cita de ítem	dc.identifier.citation	PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS Volume: 138 Pages: 671-692 Part: Part 4 Published: 2008	en_US
Identifier	dc.identifier.issn	0308-2105
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125037
Abstract	dc.description.abstract	In this paper we construct solutions which develop two negative spikes as epsilon -> 0(+) for the problem -Delta u = vertical bar u vertical bar(4/(N-2)) u + epsilon f(x) in Omega, u = 0 on partial derivative Omega, where Omega subset of R-N is a bounded smooth domain exhibiting a small hole, with f >= 0, f not equivalent to 0. This result extends a recent work of Clapp et al. in the sense that no symmetry assumptions on the domain are required.	en_US
Patrocinador	dc.description.sponsorship	MECESUP UCH0009	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	ROYAL SOC EDINBURGH	en_US
Keywords	dc.subject	BLOWING-UP SOLUTIONS	en_US
Título	dc.title	Double-spike solutions for a critical inhomogeneous elliptic problem in domains with small holes	en_US
Document type	dc.type	Artículo de revista