BV functions over rectifiable currents

DOI10.1007/BF01758991zbMath0891.49024MaRDI QIDQ678163

Silvano Delladio, Gabriele Anzellotti, Giuseppe Scianna

Publication date: 14 July 1998

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

rectifiable currentsrelaxationintegration by partsBV functionsminimum problemcoarea formulaapproximate differentiabilitynonparametric variational problemtangential derivative

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)

Related Items (2)

SBV functions over a rectifiable current and a compactness theorem ⋮ Phase separation on varying surfaces and convergence of diffuse interface approximations

Cites Work

• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Integral representation on \(BV(\Omega )\) of \(\Gamma\)-limits of variational integrals
• Normal and integral currents
• On the first variation of a varifold
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