English

H\"older continuity for the $p$-Laplace equation using a differential inequality

Analysis of PDEs 2020-12-29 v2

Abstract

We study H\"older continuity for solutions of the pp-Laplace equation. This is established through a method involving an ordinary differential inequality, in contrast to the classical proof of the De Giorgi-Nash-Moser Theorem which uses iteration of an inequality through concentric balls.

Keywords

Cite

@article{arxiv.2006.15341,
  title  = {H\"older continuity for the $p$-Laplace equation using a differential inequality},
  author = {Fredrik Arbo Høeg},
  journal= {arXiv preprint arXiv:2006.15341},
  year   = {2020}
}
R2 v1 2026-06-23T16:40:03.351Z