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 Holder regularity up to the boundary forthe weak solutions, both in the singular (1 < p < 2) and the degenerate (p > 2) case.

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

MOSCONI, SUNRA JOHANNES NIKOLAJ;
2016-01-01

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 Holder regularity up to the boundary forthe weak solutions, both in the singular (1 < p < 2) and the degenerate (p > 2) case.
2016
fractional p-Laplacian; regularity; regularity up to the boundary
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/243923
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