Calculus of Variations and Geometric Measure Theory

G. Bellettini - L. Mugnai

A varifolds representation of the relaxed elastica functional

created by belletti on 14 May 2005
modified on 13 Dec 2006


Accepted Paper

Inserted: 14 may 2005
Last Updated: 13 dec 2006

Journal: J. Convex Anal.
Year: 2007


We prove a new representation result for the $L^1$-lower semicontinuous envelope of the elastica functional in terms of a minimum problem over a suitable class of varifolds. We also show a representation result in a suitable class of Sobolev-type submanifolds.