We compute the relaxed Cartesian area in the strict BV-convergence on a class of piecewise Lipschitz maps from the plane to the plane, having jump made of several curves allowed to meet at a finite number of junction points. We show that the domain of this relaxed area is strictly contained in the domain of the classical L1-relaxed area.
Relaxed area of graphs of piecewise Lipschitz maps in the strict BV-convergence / Bellettini, Giovanni; Carano, Simone; Scala, Riccardo. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 239:(2024). [10.1016/j.na.2023.113424]
Relaxed area of graphs of piecewise Lipschitz maps in the strict BV-convergence
Bellettini, Giovanni;Carano, Simone;Scala, Riccardo
2024-01-01
Abstract
We compute the relaxed Cartesian area in the strict BV-convergence on a class of piecewise Lipschitz maps from the plane to the plane, having jump made of several curves allowed to meet at a finite number of junction points. We show that the domain of this relaxed area is strictly contained in the domain of the classical L1-relaxed area.File in questo prodotto:
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