Hölder continuity for the p-Laplace equation using a differential inequality

2020/06/27 by Høeg, Fredrik Arbo
#35J15 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.15341

Abstract

We study Hölder continuity for solutions of the p-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.

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