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

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Geometric Analysis and Nonlinear Partial Differential Equations

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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.

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References

  1. Ebmeyer, C. (1999): Mixed boundary value problems for nonlinear elliptic systems in n-dimensional Lipschitzian domains. Zeit. Anal. Anwend. 18, 539–555

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Author information

Authors and Affiliations

  1. Mathematisches Seminar, Universität Bonn, Nussallee 15, D-53115, Bonn, Germany

    Carsten Ebmeyer

  2. Institut für Angewandte Mathematik, Universität Bonn, Beringstr. 6, D-53115, Bonn, Germany

    Jens Frehse & Moritz Kassmann

Authors
  1. Carsten Ebmeyer
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  2. Jens Frehse
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  3. Moritz Kassmann
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Bonn, Beringstraße 1, 53115, Bonn, Germany

    Stefan Hildebrandt  & Hermann Karcher  & 

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Ebmeyer, C., Frehse, J., Kassmann, M. (2003). Boundary Regularity for Nonlinear Elliptic Systems: Applications to the Transmission Problem. In: Hildebrandt, S., Karcher, H. (eds) Geometric Analysis and Nonlinear Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55627-2_26

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  • DOI: https://doi.org/10.1007/978-3-642-55627-2_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44051-2

  • Online ISBN: 978-3-642-55627-2

  • eBook Packages: Springer Book Archive

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