Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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21
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Journal of Geometric Analysis, Volume 32, issue 8, pp. 1-21
Abstract
We obtain sharp rotation bounds for the subclass of homeomorphisms f: C→ C of finite distortion which have distortion function in Llocp, p> 1 , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness.Description
| openaire: EC/H2020/834728/EU//QUAMAP Funding Information A.C. and B.S. are partially supported by projects MTM2016-81703-ERC, MTM2016-75390 (Spanish Government) and 2017SGR395 (Catalan Government). L.H. was partially supported by ICMAT Severo Ochoa project SEV-2015-0554 grant MTM2017-85934-C3-2-P, the ERC grant 307179-GFTIPFD, the ERC grant 834728 Quamap, by the Finnish Academy of Science project 13316965 and by a grant from The Emil Aaltonen Foundation. Publisher Copyright: © 2022, The Author(s).
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Clop, A, Hitruhin, L & Sengupta, B 2022, 'Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion', Journal of Geometric Analysis, vol. 32, no. 8, 212, pp. 1-21. https://doi.org/10.1007/s12220-022-00950-y