Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article
 


Journal of Convex Analysis 18 (2011), No. 2, 417--426
Copyright Heldermann Verlag 2011



A Remark on a Free Interface Problem with Volume Constraint

Luca Esposito
Dip. di Matematica e Informatica, UniversitÓ di Salerno, Via Ponte Don Melillo, 84084 Fisciano, Italy
luesposi@unisa.it

Nicola Fusco
Dip. di Matematica e Applicazioni, UniversitÓ di Napoli, Via Cintia, 80126 Napoli, Italy
n.fusco@unina.it



We study the optimal design problem of finding the minimal energy configuration for a mixture of two conducting materials with a perimeter penalization of the unknown domain, when a volume constraint is added. We prove that minimizers of the constrained problem also minimize an unconstrained problem with a volume penalization for which regualarity results are available in the literature.

Keywords: Perimeter penalization, volume constraint, regularity.

MSC: 49N60, 49Q20

[ Fulltext-pdf  (131  KB)] for subscribers only.