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Remarks on the Regularity of Solutions of Elliptic Systems

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Book cover Applied Nonlinear Analysis

Abstract

We obtain a result contained in [10] in a different manner. An optimal sufficient condition is supplied in order to get the interior Hölder re gularity of a weak H1-solution to a linear elliptic system with measurable bounded coefficients. Explicit estimate of the norm of the gradient of a solution in a suitable weighted Morrey space is given. The condition obtained is then applied to quasilinear and nonlinear elliptic systems.

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Authors
  1. Salvatore Leonardi
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Editors and Affiliations

  1. I.S.T. Technical University, Lisbon, Portugal

    Adélia Sequeira  & Juha Hans Videman  & 

  2. University of Pisa, Pisa, Italy

    Hugo Beirão da Veiga

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© 2002 Kluwer Academic Publishers

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Leonardi, S. (2002). Remarks on the Regularity of Solutions of Elliptic Systems. In: Sequeira, A., da Veiga, H.B., Videman, J.H. (eds) Applied Nonlinear Analysis. Springer, Boston, MA. https://doi.org/10.1007/0-306-47096-9_22

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  • DOI: https://doi.org/10.1007/0-306-47096-9_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-46303-7

  • Online ISBN: 978-0-306-47096-7

  • eBook Packages: Springer Book Archive

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