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Remarks on the Solvability of Dirichlet Problems in Different Function Spaces

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Complex Methods for Partial Differential Equations

Part of the book series: International Society for Analysis, Applications and Computation ((ISAA,volume 6))

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Abstract

The Dirichlet problem is considered for a nonlinear Beltrami equation and for a quasilinear biharmonic equation. Reducing the problems via integral equations to fixed point problems the solutions are considered in different function spaces and then compared with one another.

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Authors and Affiliations

  1. Südstr. 01, D-07616, Bürgel, Germany

    Falak Rihawi

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  1. Falak Rihawi
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Editor information

Editors and Affiliations

  1. I. Mathematisches Institut, Freie Universität Berlin, Berlin, Germany

    Heinrich G. W. Begehr

  2. Department of Mathematics, Faculty of Sciences, Middle East Technical University, Ankara, Turkey

    A. Okay Celebi

  3. Institut für Mathematik, Technische Universität Graz, Graz, Austria

    Wolfgang Tutschke

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© 1999 Kluwer Academic Publishers

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Rihawi, F. (1999). Remarks on the Solvability of Dirichlet Problems in Different Function Spaces. In: Begehr, H.G.W., Celebi, A.O., Tutschke, W. (eds) Complex Methods for Partial Differential Equations. International Society for Analysis, Applications and Computation, vol 6. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3291-6_18

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  • DOI: https://doi.org/10.1007/978-1-4613-3291-6_18

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3293-0

  • Online ISBN: 978-1-4613-3291-6

  • eBook Packages: Springer Book Archive

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