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Relaxed area of graphs of piecewise Lipschitz maps in the strict BV-convergence

Bellettini, Giovanni
•
Carano, Simone
•
Scala, Riccardo
2024
  • journal article

Periodico
NONLINEAR ANALYSIS
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.
DOI
10.1016/j.na.2023.113424
WOS
WOS:001111202500001
Archivio
https://hdl.handle.net/20.500.11767/142633
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85175434083
https://arxiv.org/abs/2305.11299
https://ricerca.unityfvg.it/handle/20.500.11767/142633
Diritti
open access
Soggetti
  • Area functional

  • Relaxation

  • Strict convergence

  • Cartesian currents

  • Total variation of th...

  • Plateau problem

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