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.
Bellettini, G., Mugnai, L. (2007). A varifolds representation of the relaxed elastica functional. JOURNAL OF CONVEX ANALYSIS, 14(3), 543-564.
A varifolds representation of the relaxed elastica functional
BELLETTINI, GIOVANNI;
2007-01-01
Abstract
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
