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The Singular Set of Minima of Integral Functionals
Authors:Jan Kristensen  Giuseppe Mingione
Institution:(1) Mathematical Institute, University of Oxford, 24–29 St. Giles, Oxford, OX1 3LB;(2) Dipartimento di Matematica, Università di Parma, Parco delle Scienze 53/a, I-43100 Parma
Abstract:In this paper we provide upper bounds for the Hausdorff dimension of the singular set of minima of general variational integrals ></img>                              </span> where <em>F</em> is suitably convex with respect to <em>Dv</em> and Hölder continuous with respect to (<em>x</em>,<em>v</em>). In particular, we prove that the Hausdorff dimension of the singular set is always strictly less than <em>n</em>, where <span class= ></img>                              </span>.</td>
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