An extension result for generalised special functions of bounded deformation

Filippo Cagnetti, Antonin Chambolle, Matteo Perugini, Lucia Scardia

Research output: Contribution to journalArticle

Abstract

We show an extension result for generalised special functions of bounded deformation (GSBDp, for every p > 1) and any dimension n ≥ 2. The proof is based on a recent result of F. Cagnetti, A. Chambolle, and L. Scardia, where it is shown that a function u in GSBDp with a “small” jump set coincides with a W1,p function, up to a small set whose perimeter and volume are controlled by the size of the jump of u.

Original languageEnglish
JournalJournal of Convex Analysis
Volume28
Issue number2
Early online date2020
Publication statusE-pub ahead of print - 2020

Keywords

  • Free-discontinuity problems
  • Functions of bounded deformation
  • Griffith’s energy

ASJC Scopus subject areas

  • Analysis
  • Mathematics(all)

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