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On the Hölder continuity of ring Q-homeomorphisms

  • Miloš Arsenović ORCID logo EMAIL logo and Miodrag Mateljević
Published/Copyright: August 30, 2022
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Abstract

We prove the Hölder continuity of a homeomorphism f defined on a bounded domain Ω n with Lipschitz boundary. The homeomorphism f is assumed to belong to a certain Orlicz–Sobolev class and to satisfy a distortion condition near the boundary.

MSC 2010: 30C65; 46E35

Funding statement: The research was supported by the Ministry of Science, Serbia, project OI 174017.

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Received: 2021-10-05
Revised: 2022-06-16
Accepted: 2022-07-06
Published Online: 2022-08-30
Published in Print: 2022-12-01

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