A note on global regularity for the weak solutions of fractional p-Laplacian equations

Antonio Iannizzotto; Sunra Mosconi; Marco Squassina

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arXiv · 1504.01006

A note on global regularity for the weak solutions of fractional p-Laplacian equations

Antonio Iannizzotto·Sunra Mosconi·Marco Squassina

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Abstract

We consider a boundary value problem driven by the fractional p-Laplacian operator with a bounded reaction term. By means of barrier arguments, we prove H\"older regularity up to the boundary for the weak solutions, both in the singular (1 2) case.

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Antonio Iannizzotto, Sunra Mosconi, Marco Squassina. 2015-04-04. A note on global regularity for the weak solutions of fractional p-Laplacian equations. https://arxiv.org/abs/1504.01006

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