Global Hölder regularity for the fractional p-Laplacian
Iannizzotto, Antonio · Mosconi, Sunra · Squassina, Marco
Original · EN
By virtue of barrier arguments we prove Cα-regularity up to the boundary for the weak solutions of a non-local nonlinear 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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