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

Published 4 Apr 2015 in math.AP | (1504.01006v1)

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

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