• Corpus ID: 231942576

Rotation bounds for H\"older continuous homeomorphisms with integrable distortion

@article{Clop2021RotationBF,
  title={Rotation bounds for H\"older continuous homeomorphisms with integrable distortion},
  author={Albert Clop and Lauri Hitruhin and Banhirup Sengupta},
  journal={arXiv: Analysis of PDEs},
  year={2021}
}
We obtain sharp rotation bounds for the subclass of homeomorphisms $f:\mathbb{C}\to\mathbb{C}$ of finite distortion which have distortion function in $L^p_{loc}$, $p>1$, and for which a Holder 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 Holder continuity is not assumed. We also present examples proving sharpness. 
Existence of quasiconformal maps with maximal stretching on any given countable set
Abstract. Quasiconformal maps are homeomorphisms with useful local distortion inequalities; infinitesimally, they map balls to ellipsoids with bounded eccentricity. This leads to a number of useful

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