Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem

Carsten Ebmeyer, Jens Frehse and Moritz Kassmann
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Carsten Ebmeyer: Universität Bonn, Mathematisches Seminar
Jens Frehse: Universität Bonn, Institut für Angewandte Mathematik
Moritz Kassmann: Universität Bonn, Institut für Angewandte Mathematik

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 505-517 from Springer

Abstract: Summary The Dirichlet problem for nonlinear elliptic systems with piecewise continuous coefficients is studied. The domain can be a n-dimensional polyhedron, possibly non-convex and exhibiting slits. Regularity in Nikolskii spaces up to the transmission surface and the boundary is proved.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_26

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DOI: 10.1007/978-3-642-55627-2_26

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