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Local boundedness of minimizers in a limit case

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Abstract

We prove the local boundedness of minimizers of a functional with anisotropic polynomial growth. The result here obtained is optimal if compared with previously know counterexamples.

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Authors and Affiliations

  1. Ist. di Matematica, Fac. Scienze, Univ. Salerno, 84100, Baronissi, Salerno

    Nicola Fusco

  2. Dip. di Matematica e Applicazioni “R. Caccioppoli”, Via Mezzocannone 8, 80134, Napoli

    Carlo Sbordone

Authors
  1. Nicola Fusco
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  2. Carlo Sbordone
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Additional information

This work has been performed as a part of a National Research Project, supported by MPI (40%, 1987).

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Fusco, N., Sbordone, C. Local boundedness of minimizers in a limit case. Manuscripta Math 69, 19–25 (1990). https://doi.org/10.1007/BF02567909

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  • DOI: https://doi.org/10.1007/BF02567909

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