A Note on Regularity for the n-dimensional H-System assuming logarithmic higher Integrability

TL;DR

This paper establishes Holder continuity for solutions to the n-dimensional H-System under the assumption of logarithmic higher integrability, contributing to the regularity theory of such systems.

Contribution

It introduces a new regularity result for the H-System by leveraging logarithmic higher integrability assumptions.

Findings

Proves Holder continuity of solutions.

Shows the importance of logarithmic higher integrability.

Advances understanding of regularity in H-Systems.

Abstract

We prove Holder continuity for solutions to the n-dimensional H-System assuming logarithmic higher integrability of the solution.