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 for the 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
IANNIZZOTTO, ANTONIO;MOSCONI, SUNRA JOHANNES NICOLAJ;SQUASSINA, Marco
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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 Holder regularity up to the boundary for the weak solutions, both in the singular (1 < p < 2) and the degenerate (p > 2) case.
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