Schiffer, M.; Schober, G. A variational method for general families of quasiconformal mappings. (English) Zbl 0419.30018 J. Anal. Math. 34, 240-264 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 4 Documents MSC: 30C70 Extremal problems for conformal and quasiconformal mappings, variational methods 30C62 Quasiconformal mappings in the complex plane 30C50 Coefficient problems for univalent and multivalent functions of one complex variable 30G20 Generalizations of Bers and Vekua type (pseudoanalytic, \(p\)-analytic, etc.) 35J50 Variational methods for elliptic systems Keywords:variational methods for quasiconformal mappings PDFBibTeX XMLCite \textit{M. Schiffer} and \textit{G. Schober}, J. Anal. Math. 34, 240--264 (1978; Zbl 0419.30018) Full Text: DOI References: [1] Bers, L., Univalent solutions of linear elliptic systems, Comm. Pure Appl. Math., 6, 513-526 (1953) · Zbl 0051.31701 · doi:10.1002/cpa.3160060407 [2] Carathéodory, C., Vorlesungen über Reelle Funktionen (1948), New York: Chelsea Publ. Co., New York [3] Courant, R.; Hilbert, D., Methods of Mathematical Physics, Vol. II (1962), New York: Interscience Publ., New York · Zbl 0099.29504 [4] Garabedian, P. R., Partial Differential Equations (1964), New York: John Wiley and Sons, New York · Zbl 0124.30501 [5] Kühnau, R., Wertannahmeprobleme bei quasikonformen Abbildungen mit ortsabhängiger Dilatationsbeschränkung, Math. Nachr., 40, 1-11 (1969) · Zbl 0195.09201 · doi:10.1002/mana.19690400102 [6] M. A. Lavrent’ev,The general propblem of the theory of quasiconformal mappings of plane regions, Amer. Math. Soc. Transl. No. 46 (1951). [7] Lehto, O., Schlicht functions with a quasiconformal extension, Ann. Acad. Sci. Fenn. Ser. A, I, 500-500 (1971) · Zbl 0226.30020 [8] Lehto, O.; Virtanen, K. I., Quasiconformal Mappings in the Plane (1973), New York-Heidelberg-Berlin: Springer-Verlag, New York-Heidelberg-Berlin · Zbl 0267.30016 [9] Schiffer, M., A variational method for univalent quasiconformal mappings, Duke Math. J., 33, 395-412 (1966) · Zbl 0152.07303 · doi:10.1215/S0012-7094-66-03345-X [10] Schiffer, M.; Schober, G., Representation of fundamental solutions for generalized Cauchy-Riemann equations by quasiconformal mappings, Ann. Acad. Sci. Fenn. Ser. A, I, 501-531 (1976) · Zbl 0362.30021 [11] G. Schober,Univalent Functions—Selected Topics, Springer-Verlag Lecture Notes in Math.478, 1975. · Zbl 0306.30018 [12] Strebel, K., Ein Konvergensatz für Folgen quasikonformer Abbildungen, Comment. Math. Helv., 44, 469-475 (1969) · Zbl 0184.31002 · doi:10.1007/BF02564546 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.