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We characterize the lower semicontinuous envelope (F) over bar of the functional F(E) := integral(partial derivativeE)[1 + \kappa(partial derivativeE)\(p)]dH(1), defined on boundaries of sets E subset of R-2, where kappa(partial derivativeE) denotes the curvature of partial derivativeE and p > 1. Through a desingularization procedure, we find the domain of (F) over bar and its expression, by means of different representation formulas. (C) 2004 Elsevier SAS. All fights reserved.

Bellettini, G., Mugnai, L. (2004). Characterization and representation of the lower semicontinuous envelope of the elastica functional. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 21(6), 839-880 [10.1016/j.anihpc.2004.01.001].

Characterization and representation of the lower semicontinuous envelope of the elastica functional

Bellettini, Giovanni;
2004-01-01

Abstract

We characterize the lower semicontinuous envelope (F) over bar of the functional F(E) := integral(partial derivativeE)[1 + \kappa(partial derivativeE)\(p)]dH(1), defined on boundaries of sets E subset of R-2, where kappa(partial derivativeE) denotes the curvature of partial derivativeE and p > 1. Through a desingularization procedure, we find the domain of (F) over bar and its expression, by means of different representation formulas. (C) 2004 Elsevier SAS. All fights reserved.
2004
Bellettini, G., Mugnai, L. (2004). Characterization and representation of the lower semicontinuous envelope of the elastica functional. ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE, 21(6), 839-880 [10.1016/j.anihpc.2004.01.001].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11365/1017396