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A Wiener-type condition for boundary continuity of quasi-minima of variational integrals

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Abstract

A Wiener-type condition for the continuity at the boundary points of Q-minima, is established, in terms of the divergence of a suitable Wiener integral.

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Authors and Affiliations

  1. Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville, TN, 37240, USA

    Emmanuele DiBenedetto

  2. Dipartimento di Matematica “F. Casorati”, Università di Pavia, via Ferrata 1, 27100, Pavia, Italy

    Ugo Gianazza

Authors
  1. Emmanuele DiBenedetto
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  2. Ugo Gianazza
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Corresponding author

Correspondence to Ugo Gianazza.

Additional information

Emmanuele DiBenedetto is supported by NSF grant DMS-1265548.

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DiBenedetto, E., Gianazza, U. A Wiener-type condition for boundary continuity of quasi-minima of variational integrals. manuscripta math. 149, 339–346 (2016). https://doi.org/10.1007/s00229-015-0780-4

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