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arxiv: 1504.01006 · v1 · pith:HCT5RQZGnew · submitted 2015-04-04 · 🧮 math.AP

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

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keywords boundaryfractionalp-laplacianregularitysolutionsweakargumentsbarrier
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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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