On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity

DOI10.1051/cocv/2014065zbMath1338.49023arXiv1310.2443OpenAlexW2068345374MaRDI QIDQ2798002

Lucia Tealdi, Maurizio Paolini, Giovanni Bellettini

Publication date: 1 April 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2443

zbMATH Keywords

Morse theoryrelaxationarea functionalPlateau's problemdisk-type minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity ⋮ The relaxed area of 𝕊¹-valued singular maps in the strict BV-convergence ⋮ Relaxed area of graphs of piecewise Lipschitz maps in the strict \(BV\)-convergence ⋮ On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions

Cites Work

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• On the area of the graph of a singular map from the plane to the plane taking three values
• Minimal Surfaces
• Regularity of Minimal Surfaces
• On the Boundary Behavior of Minimal Surfaces
• Direct methods in the calculus of variations

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