References
Reich, E., Quasiconformal mappings with prescribed boundary values and a dilation bound,Arch. Rational Mech. Anal.,68(1978), 99–112.
Reich, E. and Strebel, K., Extremal quasiconformal mappings with given boundary values, Contributions to Analysis. A collection of papers dedicated to Lipman Bers.Academic Press, New York-London, 1974, 375–391.
Strebel, K., On the existence of extremal Teichmüller mappings,Journal d Analyse Math. 30(1976), 464–484.
Strebel, K., On quasiconfornal mappings of open Riemann surfaces,Comment. math. helv.,59(1978), 301–321.
Fehlmann, R., Quasiconformal mappings with free boundary components,Ann, Acad. Sci. Fenn., Ser A 1 Math 6, 1982, 337–347.
Fehlmann, R., Extremal quasiconformal mappings with free boundary components in domains of arbitrarily connectivity,Mathematische Zeitschrift,184(1983), 109–126.
Chen Jixiu, Almost everywhere quasiconformal homeomorphisms with given boundary correspondence and dilatation bound, Chinese Annals of Mathematics.,7A, 4(1986), 465–473.
Lehto, O. and Virtanen, K.I., Quasikonforme Abbildungen, Springer-Verlag, Berlin, Heidelberg, New York, 1965.
Vekua, I.N., Generalized analytic functions (Chinese translation).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Jixiu, C. Quasiconformal mappings with given dilatation bound and free boundary gomponents. Acta Mathematica Sinica 3, 6–17 (1987). https://doi.org/10.1007/BF02564939
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02564939