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

In: Geometric Analysis and Nonlinear Partial Differential Equations

Author

Listed:
  • Carsten Ebmeyer

    (Universität Bonn, Mathematisches Seminar)

  • Jens Frehse

    (Universität Bonn, Institut für Angewandte Mathematik)

  • Moritz Kassmann

    (Universität Bonn, Institut für Angewandte Mathematik)

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.

Suggested Citation

  • Carsten Ebmeyer & Jens Frehse & Moritz Kassmann, 2003. "Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem," Springer Books, in: Stefan Hildebrandt & Hermann Karcher (ed.), Geometric Analysis and Nonlinear Partial Differential Equations, pages 505-517, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55627-2_26
    DOI: 10.1007/978-3-642-55627-2_26
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