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The Singular Set of ω-minima

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Abstract.

We consider ω-minima of convex variational integrals in the vectorial case n,N≥2, and we provide estimates for the Hausdorff dimension of their singular sets.

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Authors and Affiliations

  1. Mathematical Institute, University of Oxford, 24-29 St. Giles’, Oxford, OX1 3LB, United Kingdom

    Jan Kristensen

  2. Dipartimento di Matematica, Università di Parma, via M. D’Azeglio 85/a, 43100, Parma, Italy

    Giuseppe Mingione

Authors
  1. Jan Kristensen
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  2. Giuseppe Mingione
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Correspondence to Jan Kristensen.

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Communicated by S. Müller

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Kristensen, J., Mingione, G. The Singular Set of ω-minima. Arch. Rational Mech. Anal. 177, 93–114 (2005). https://doi.org/10.1007/s00205-005-0361-x

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  • DOI: https://doi.org/10.1007/s00205-005-0361-x

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