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math.APMar 5, 2013
9
citations (OpenAlex)
authors
  • Guido De Philippis
  • Alessio Figalli
institutions
  • Hausdorff Center for Mathematics
  • The University of Texas at Austin
arXiv abstractPDF
paper

Higher integrability for minimizers of the Mumford-Shah functional

arXiv:1303.1196 · doi:10.1007/s00205-014-0729-x

Abstract

We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi.

Cited by in corpus (2)

  • Epsilon-regularity for Griffith almost-minimizers in any dimension under a separating condition
  • Uniform concentration property for Griffith almost-minimizers
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