Holder continuity for the ring $Q$-homeomorphisms with respect to $p$-modulus

TL;DR

This paper establishes a sufficient condition for the Holder continuity of ring $Q$-homeomorphisms in higher-dimensional Euclidean spaces with respect to the $p$-modulus, within a specific range of $p$ values.

Contribution

It provides a new sufficient condition ensuring Holder continuity of ring $Q$-homeomorphisms based on the $p$-modulus in $ ext{R}^n$ for $n-1<p<n.

Findings

Established a sufficient condition for Holder continuity.

Applied the condition to ring $Q$-homeomorphisms in $ ext{R}^n$.

Focused on the range $n-1<p<n$ for $p$.

Abstract

It is founded the sufficient condition of Holder continuity of the ring $Q$-homeomorphisms in $\mathbb{R}^n, n\geq 2$ with respect to $p$-modulus at $n-1<p<n$.