On the area of the graph of a singular map from the plane to the plane taking three values

DOI10.1515/ACV.2010.015zbMath1200.49010MaRDI QIDQ3053237

Maurizio Paolini, Giovanni Bellettini

Publication date: 4 November 2010

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

zbMATH Keywords

area functional for graphs of codimension twoBV singular maps from the plane to the plane

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (5)

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

• New lower semicontinuity results for polyconvex integrals

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