We prove a new representation result for the L1-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 result of the relaxed elastica functional. JOURNAL OF CONVEX ANALYSIS, 14(3), 543-564.
A varifolds representation result of the relaxed elastica functional
BELLETTINI, GIOVANNI;
2007-01-01
Abstract
We prove a new representation result for the L1-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.
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https://hdl.handle.net/11365/1017435