Journal
REVISTA MATEMATICA IBEROAMERICANA
Volume 32, Issue 4, Pages 1353-1392Publisher
EUROPEAN MATHEMATICAL SOC
DOI: 10.4171/RMI/921
Keywords
Fractional p-Laplacian; fractional Sobolev spaces; global Holder regularity
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Funding
- GNAMPA
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By virtue of barrier arguments we prove C-alpha-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p-Laplacian operator. The equation is boundedly inhomogeneous and the boundary conditions are of Dirichlet type. We employ different methods according to the singular (p < 2) of degenerate (p > 2) case.
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