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.
Tipologia: | Articolo su rivista |
Citazione: | 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. |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.anihpc.2004.01.001 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2004 |
Titolo: | Characterization and representation of the lower semicontinuous envelope of the elastica functional |
Autori: | |
Autori: | Bellettini, G; Mugnai, L |
Appare nelle tipologie: | 01 - Articolo su rivista |