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

Fredrik Arbo Høeg

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arXiv · 2006.15341

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

Fredrik Arbo Høeg

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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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Fredrik Arbo Høeg. 2020-12-28. Hölder continuity for the $p$-Laplace equation using a differential inequality. https://arxiv.org/abs/2006.15341

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