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Universal singular sets and unrectifiability

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Publication:1950973
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DOI10.4171/ZAA/1480zbMath1264.49042MaRDI QIDQ1950973

Richard Gratwick

Publication date: 28 May 2013

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

partial regularitypurely unrectifiable setuniversal singular set


Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Length, area, volume, other geometric measure theory (28A75)




Cites Work

  • Unnamed Item
  • Universal singular sets in the calculus of variations
  • One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
  • Singular minimisers in the calculus of variations in one dimension
  • Universal singular sets for one-dimensional variational problems
  • Lebesgue measure of the universal singular set for the simplest problems in the calculus of variations


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