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An application of the calculus of variations for general families of quasiconformal mappings

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Complex Analysis Joensuu 1978

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 747))

This work was supported in part by grants MCS-75-23332-A03 and MCS-77-01831-A01 from the National Science Foundation.

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References

  1. Kühnau, R.: Wertannahmeprobleme bei quasikonformen Abbildungen mit ortsabhängiger Dilatationsbeschränkung. Math. Nachr. 40 (1969), 1–11.

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  2. Kühnau, R.: Verzerrungssätze und Koeffizientenbedingungen vom Grunskyschen Typ für quasikonforme Abbildungen. Math. Nachr. 48 (1971), 77–105.

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  3. Lehto, O.: Schlicht functions with a quasiconformal extension. Ann. Acad. Sci. Fenn., Ser. AI 500 (1971).

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  4. Schiffer, M., Schober, G.: Coefficient problems and generalized Grunsky inequalities for schlicht functions with quasiconformal extensions. Arch. rat. Mech. Analysis 60 (1976), 205–228.

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  5. Schiffer, M., Schober, G.: Representation of fundamental solutions for generalized Cauchy-Riemann equations by quasiconformal mappings. Ann. Acad. Sci. Fenn., Ser. AI 2 (1976), 501–531.

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  6. Schiffer, M., Schober, G.: A variational method for general families of quasiconformal mappings. To appear in J. Analyse math.

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  7. Schober, G.: Univalent functions-selected topics. Lecture Notes in Mathematics 478, Springer-Verlag, Berlin-Heidelberg-New York (1975).

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  8. Strebel, K.: Ein Konvergenzsatz für Folgen quasikonformer Abbildungen. Commentarii math. Helvet. 44 (1969), 469–475.

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Author information

Authors and Affiliations

  1. Stanford University, 94305, Stanford, CA, U.S.A.

    M. Schiffer & G. Schober

  2. Indiana University, 47405, Bloomington, IN, U.S.A.

    M. Schiffer & G. Schober

Authors
  1. M. Schiffer
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  2. G. Schober
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Editor information

Ilpo Laine Olli Lehto Tuomas Sorvali

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© 1979 Springer-Verlag

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Schiffer, M., Schober, G. (1979). An application of the calculus of variations for general families of quasiconformal mappings. In: Laine, I., Lehto, O., Sorvali, T. (eds) Complex Analysis Joensuu 1978. Lecture Notes in Mathematics, vol 747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063991

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  • DOI: https://doi.org/10.1007/BFb0063991

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09553-8

  • Online ISBN: 978-3-540-34859-7

  • eBook Packages: Springer Book Archive

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