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A regularity theorem for minimizers of quasiconvex integrals

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Summary

We prove C 1,α partial regularity for minimizers of functionals with quasiconvex integrand f(x, u, Du) depending on vector-valued functions u. The integrand is required to be twice continuously differentiable in Du, and no assumption on the growth of the derivatives of f is made: a polynomial growth is required only on f itself.

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Authors and Affiliations

  1. Scuola Normale Superiore, Pisa

    Emilio Acerbi & Nicola Fusco

  2. Dipartimento di Matematica, Università di Napoli, Italy

    Emilio Acerbi & Nicola Fusco

Authors
  1. Emilio Acerbi
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  2. Nicola Fusco
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Communicated by E. Giusti

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Acerbi, E., Fusco, N. A regularity theorem for minimizers of quasiconvex integrals. Arch. Rational Mech. Anal. 99, 261–281 (1987). https://doi.org/10.1007/BF00284509

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  • DOI: https://doi.org/10.1007/BF00284509

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