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Optimal estimates for the triple junction function and other surprising aspects of the area functional

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Publication:5856724
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DOI10.2422/2036-2145.201706_027zbMath1461.49055OpenAlexW2810068866MaRDI QIDQ5856724

Riccardo Scala

Publication date: 29 March 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201706_027


zbMATH Keywords

area functionaltriple junction function


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)


Related Items (3)

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







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