Kühnau, R. Einige neuere Entwicklungen bei quasikonformen Abbildungen. (Some new developments in quasi-conformal mappings). (German) Zbl 0758.30015 Jahresber. Dtsch. Math.-Ver. 94, No. 4, 141-169 (1992). This interesting and important survey describes recent results on plane quasiconformal mappings which are close to the research interests of the author. The topics discussed cover a broad spectrum of results and in a pleasant manner extend the topics of an earlier survey [Jahresber. Dtsch. Math.-Ver. 90, No. 2, 90-109 (1988; Zbl 0638.30021)] of the same author. A sample of the contents follows: extremal problems for the class \(\Sigma(Q)\), extension of a mapping by reflection over a Jordan curve, geometric applications of the reflection, physical applications to electrostatistics and connection to elliptic systems. Quadratic differentials play an important role in the proof of these results. Reviewer: M.Vuorinen (Helsinki) Cited in 3 Documents MSC: 30C62 Quasiconformal mappings in the complex plane 30-02 Research exposition (monographs, survey articles) pertaining to functions of a complex variable Keywords:quadratic differentials; quasiconformal mappings; extremal problems; extension; reflection; geometric applications; physical applications; electrostatistics; elliptic systems Citations:Zbl 0638.30021 × Cite Format Result Cite Review PDF