Field Theory for Integrands with Low Regularity

Richard Gratwick, Mikhail A. Sychev

Research output: Contribution to journalArticlepeer-review


We develop a field theory for one-dimensional variational problems defined via integrands with low regularity and singular ellipticity. This is developed via a priori existence and regularity results for one-dimensional obstacle problems with such integrands.

Original languageEnglish
JournalJournal of Convex Analysis
Issue number3
Publication statusPublished - 2021


  • Existence and regularity in small
  • Field theory
  • Integral functionals
  • Obstacle problems
  • Singular ellipticity
  • Tonelli regularity


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