Resumen de Global Hölder regularity for the fractional p-Laplacian

Antonio Iannizzotto, Sunra J. N. Mosconi, Marco Squassina

• By virtue of barrier arguments we prove Cα-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.