Existence of minimizers on drops

Author	dc.contributor.author	Correa Hidalgo, Maximiliano
Author	dc.contributor.author	Gajardo, P.	es_CL
Author	dc.contributor.author	Thibault, Lionel	es_CL
Author	dc.contributor.author	Zagrodny, D.	es_CL
Admission date	dc.date.accessioned	2014-01-31T15:39:32Z
Available date	dc.date.available	2014-01-31T15:39:32Z
Publication date	dc.date.issued	2013
Cita de ítem	dc.identifier.citation	SIAM J. OPTIM. Vol. 23, No. 2, pp. 1154–1166	en_US
Identifier	dc.identifier.other	DOI. 10.1137/120875934
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/126358
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	For a boundedly generated drop [a,E] (a property which holds, for instance, whenever E is bounded), where a belongs to a real Banach space X and E ⊂ X is a nonempty convex set, we show that for every lower semicontinuous function h : X −→ R ∪ {+∞} that satisfies supδ>0 infx∈E+δBX h(x) > h(a) (BX being the unitary open ball in X), there exists ¯x ∈ [a,E] such that h(a) ≥ h(¯x) and ¯x is a strict minimizer of h on the drop [¯x,E].	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	Society for Industrial and Applied Mathematics	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	variational principle	en_US
Título	dc.title	Existence of minimizers on drops	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile