A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes
Colin Klaus, Naian Liao
TL;DR
This paper presents an alternative proof of local H"older continuity for functions in DeGiorgi classes, utilizing an idea originally by Moser, simplifying the understanding of regularity in these functions.
Contribution
It introduces a new proof approach for H"older continuity in DeGiorgi classes, enhancing theoretical understanding with a method inspired by Moser.
Findings
Provides a simplified proof of H"older continuity
Enhances theoretical understanding of DeGiorgi class functions
Utilizes Moser's idea for a novel proof approach
Abstract
The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.
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