arXiv:2006.15341 Abstract | arXiv Analytics

arXiv:2006.15341 [math.AP]Abstract References Reviews Resources

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

Published 2020-06-27Version 1

We study H\"older 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.

Categories: math.AP

Subjects: 35J15, 35J92

Keywords: laplace equation, hölder continuity, ordinary differential inequality, giorgi-nash-moser theorem, concentric balls

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