A class of one-dimensional geometric variational problem with energy involving the curvature and its derivatives: a geometric measure-theoretic approach

DOI10.1007/S10231-007-0059-9zbMath1164.49010OpenAlexW1980625871MaRDI QIDQ931365

Silvano Delladio

Publication date: 25 June 2008

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

Full work available at URL: https://doi.org/10.1007/s10231-007-0059-9

zbMATH Keywords

geometric variational problemsgeometric measure theoryrectifiable setsfunctional involving the curvature and its derivatives

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) Length, area, volume, other geometric measure theory (28A75) Curves in Euclidean and related spaces (53A04)

Related Items (1)

The set of regular values (in the sense of Clarke) of a Lipschitz map. A sufficient condition for rectifiability of class $C^3$

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