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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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
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