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.
2024
239
113424
10.1016/j.na.2023.113424
https://arxiv.org/abs/2305.11299
Bellettini, Giovanni; Carano, Simone; Scala, Riccardo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/142633
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