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On the regularity of solutions of one-dimensional variational obstacle problems

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Publication:1707966
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DOI10.1515/acv-2016-0030zbMath1387.49003arXiv1606.03974OpenAlexW2964147028MaRDI QIDQ1707966

Jean-Philippe Mandallena

Publication date: 4 April 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.03974


zbMATH Keywords

regularity of solutionsTonelli's partial regularitySobolev solutionsone-dimensional variational obstacle problems


Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Existence theories for free problems in one independent variable (49J05)


Related Items (2)

A necessary and sufficient condition for \(C^1\)-regularity of solutions of one-dimensional variational obstacle problems ⋮ Direct methods in variational field theory



Cites Work

  • A one-dimensional variational problem with continuous Lagrangian and singular minimizer
  • Another theorem of classical solvability `in small' for one-dimensional variational problems
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