Fast and slow decay solutions for supercritical elliptic problems in exterior domains

Author	dc.contributor.author	Dávila, Juan
Author	dc.contributor.author	Pino Manresa, Manuel del	es_CL
Author	dc.contributor.author	Musso, Mónica	es_CL
Author	dc.contributor.author	Wei, Juncheng	es_CL
Admission date	dc.date.accessioned	2010-01-15T13:38:37Z
Available date	dc.date.available	2010-01-15T13:38:37Z
Publication date	dc.date.issued	2008-08
Cita de ítem	dc.identifier.citation	CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS Volume: 32 Issue: 4 Pages: 453-480 Published: AUG 2008	en_US
Identifier	dc.identifier.issn	0944-2669
Identifier	dc.identifier.other	10.1007/s00526-007-0154-1
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/125142
Abstract	dc.description.abstract	We consider the elliptic problem Delta u + u(p) = 0, u > 0 in an exterior domain, Omega = R-N\D under zero Dirichlet and vanishing conditions, where D is smooth and bounded in R-N, N >= 3, and p is supercritical, namely p > N+2/N-2. We prove that this problem has infinitely many solutions with slow decay O(vertical bar x vertical bar(-2/p-1)) at infinity. In addition, a solution with fast decay O(vertical bar x vertical bar(2- N)) exists if p is close enough from above to the critical exponent.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	SPRINGER	en_US
Keywords	dc.subject	EQUATIONS	en_US
Título	dc.title	Fast and slow decay solutions for supercritical elliptic problems in exterior domains	en_US
Document type	dc.type	Artículo de revista