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A remark on L 2,λ regularity for minimizers of quasilinear functionals

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In this paper, we show the regularity in Morrey spaces L 2,λ for the gradient of minimizers of quasilinear functionals of the type We allow VMO dependence on the variable x and continuous dependence on the variable u.

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Authors and Affiliations

  1. Salerno University, D.M.I., Via S. Allende, 84081, Baronissi (Salerno), Italy

    P. Di Gironimo

  2. Salerno University, D.I.I.M.A, Via S. Allende, 84081, Baronissi (Salerno), Italy

    L. Esposito

  3. Salerno University, D.I.I.M.A., Via S. Allende, 84081, Baronissi (Salerno), Italy

    L. Sgambati

Authors
  1. P. Di Gironimo
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  2. L. Esposito
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  3. L. Sgambati
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Correspondence to P. Di Gironimo.

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Di Gironimo, P., Esposito, L. & Sgambati, L. A remark on L 2,λ regularity for minimizers of quasilinear functionals. manuscripta math. 113, 143–151 (2004). https://doi.org/10.1007/s00229-003-0429-6

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  • DOI: https://doi.org/10.1007/s00229-003-0429-6

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