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.
@article{10_2298_PIM0475067R,
author = {Edgar Reich},
title = {Remarks on the {Conditions} for {Unique} {Extremality} of {Quasiconformal} {Mappings}},
journal = {Publications de l'Institut Math\'ematique},
pages = {67 },
year = {2004},
volume = {_N_S_75},
number = {89},
doi = {10.2298/PIM0475067R},
zbl = {1086.30028},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0475067R/}
}
TY - JOUR AU - Edgar Reich TI - Remarks on the Conditions for Unique Extremality of Quasiconformal Mappings JO - Publications de l'Institut Mathématique PY - 2004 SP - 67 VL - _N_S_75 IS - 89 UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM0475067R/ DO - 10.2298/PIM0475067R LA - en ID - 10_2298_PIM0475067R ER -
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
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