Geodesic
Remarks on the Conditions for Unique Extremality of Quasiconformal Mappings
Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 67 .

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In work dating to 1981, two different sufficient conditions for unique extremality of quasiconformal mappings, referred to here as Theorem~A and Theorem~B were found. In the case of Theorem~A, the condition is now known to also be necessary. In spite of this, Theorem~B has been found to be the more useful of the two conditions in delicate situations. However, the question of whether the conditions of Theorem~B are necessary is still open. We discuss some matters relevant to this problem. As a new illustration of Theorem~B, we show that it can be used to give a self-contained proof of a result of Strebel's.
DOI : 10.2298/PIM0475067R
Classification : 30C75
Keywords: quasinormal mappings 
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     journal = {Publications de l'Institut Math\'ematique},
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Edgar Reich. Remarks on the Conditions for Unique Extremality of Quasiconformal Mappings. Publications de l'Institut Mathématique, _N_S_75 (2004) no. 89, p. 67 . doi : 10.2298/PIM0475067R. http://geodesic.mathdoc.fr/articles/10.2298/PIM0475067R/

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