Remarks on the Regularity of Solutions of Elliptic Systems

Salvatore Leonardi

A chapter in Applied Nonlinear Analysis, 2002, pp 325-344 from Springer

Abstract: 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.

Keywords: Linear elliptic systems; quasilinear elliptic systems; Hölder regularity (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_22

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DOI: 10.1007/0-306-47096-9_22

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