Abstract
Concerning the problem of extremality of quasiconformal mappings with dilatation bounds, we discuss the unique extremality of the problem and prove the if part of a conjecture on the unique extremality. To this end, we need to investigate a new extremal problem in the infinitesimal setting. In particular, we give a complete description of the unique infinitesimal extremality of partially zero Beltrami differentials.
Citation
Yu-Liang Shen. "On the unique extremality of quasiconformal mappings with dilatation bounds." Tohoku Math. J. (2) 56 (1) 105 - 123, 2004. https://doi.org/10.2748/tmj/1113246383
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