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Everywhere regularity of functionals with φ-growth

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Abstract

We prove C 1,α-regularity for local minimizers of functionals with φ-growth, giving also the decay estimate. In particular, we present a unified approach in the case of power-type functions.

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Authors and Affiliations

  1. Institute of Mathematics, Eckerstr. 1, 79104, Freiburg, Germany

    Lars Diening

  2. Dipartimento di Matematica, Università di Napoli, Federico II, Via Cintia, 80126, Naples, Italy

    Bianca Stroffolini & Anna Verde

Authors
  1. Lars Diening
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  2. Bianca Stroffolini
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  3. Anna Verde
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Correspondence to Lars Diening.

Additional information

Supported by PRIN Project: “Calcolo delle variazioni e Teoria Geometrica della Misura”.

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Diening, L., Stroffolini, B. & Verde, A. Everywhere regularity of functionals with φ-growth. manuscripta math. 129, 449–481 (2009). https://doi.org/10.1007/s00229-009-0277-0

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  • DOI: https://doi.org/10.1007/s00229-009-0277-0

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