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arXiv · 2501.01459

On asymptotics of ring $Q$-homeomorphisms with respect to $p$-modulus near the origin

Ruslan Salimov·Bogdan Klishchuk
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Abstract

We consider the class of ring $Q$-homeomorphisms with respect to $p$-modulus in $\mathbb{R}^{n}$ with $p > n$, and obtain lower bounds for limsups of the distance distortions under such mappings. These estimates can be treated as H\"{o}lder's continuity of the inverses near the origin. The sharpness is illustrated by example

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Ruslan Salimov, Bogdan Klishchuk. 2024-12-31. On asymptotics of ring $Q$-homeomorphisms with respect to $p$-modulus near the origin. https://arxiv.org/abs/2501.01459

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