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Global Regularity for Solutions to Dirichlet Problem for Elliptic Systems with Nonlinearity q ≥ 2 and with Natural Growth

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Variational Analysis and Applications

Part of the book series: Nonconvex Optimization and Its Applications ((NOIA,volume 79))

Abstract

Hölder regularity up to the boundary of the solutions to a nonhomogeneous Dirichlet problem for second order discontinuous elliptic systems with nonlinearity q ≥ 2 and with natural growth is proved when n = q.

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Author information

Authors and Affiliations

  1. D.I.M.E.T., Faculty of Engineering, University of Reggio Calabria, Reggio Calabria, Italy

    S. Giuffrè & G. Idone

Authors
  1. S. Giuffrè
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  2. G. Idone
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Editor information

Editors and Affiliations

  1. University of Pisa, Italy

    Franco Giannessi

  2. University of Catania, Italy

    Antonino Maugeri

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© 2005 Springer Science+Business Media, Inc.

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Giuffrè, S., Idone, G. (2005). Global Regularity for Solutions to Dirichlet Problem for Elliptic Systems with Nonlinearity q ≥ 2 and with Natural Growth. In: Giannessi, F., Maugeri, A. (eds) Variational Analysis and Applications. Nonconvex Optimization and Its Applications, vol 79. Springer, Boston, MA. https://doi.org/10.1007/0-387-24276-7_28

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