Abstract
We show in this chapter how to obtain general regularity results for solutions of PDEs or systems of PDEs. We shall stress the techniques for obtaining W l,p and C δ regularity. We shall then derive additional regularity. In the sequel everything is self-contained, except that we shall make use of the W 2,p regularity results for the linear Dirichlet problem. For equations we rely heavily on O.A. Ladyzhenskaya, N.N. Ural’tseva [66].
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© 2002 Springer-Verlag Berlin Heidelberg
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Bensoussan, A., Frehse, J. (2002). General Regularity Results. In: Regularity Results for Nonlinear Elliptic Systems and Applications. Applied Mathematical Sciences, vol 151. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12905-0_2
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DOI: https://doi.org/10.1007/978-3-662-12905-0_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08726-4
Online ISBN: 978-3-662-12905-0
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