arXiv:1504.01006 Abstract | arXiv Analytics

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

Antonio Iannizzotto, Sunra Mosconi, Marco Squassina

Published 2015-04-04Version 1

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<p<2) and the degenerate (p>2) case.

Comments: 7 pages, Conferenza tenuta al XXV Convegno Nazionale di Calcolo delle Variazioni, Levico 2--6 febbraio 2015

Categories: math.AP

Subjects: 35D10, 35R11, 47G20

Keywords: fractional p-laplacian equations, weak solutions, global regularity, boundary value problem driven, fractional p-laplacian operator

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