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Hölder Regularity for Nonhomogeneous Elliptic Systems with Nonlinearity Greater than Two

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Abstract

Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order q > 2 are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension n is less than or equal to q + 2.

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  1. D.I.M.E.T, University of Reggio Calabria, via Graziella, Loc. Feo di Vito, 89100, Reggio Calabria, Italy

    Giovanna Idone

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  1. Giovanna Idone
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Idone, G. Hölder Regularity for Nonhomogeneous Elliptic Systems with Nonlinearity Greater than Two. Czech Math J 54, 817–841 (2004). https://doi.org/10.1007/s10587-004-6433-5

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  • DOI: https://doi.org/10.1007/s10587-004-6433-5

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