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.
Iannizzotto, A., Mosconi, S., Squassina, M., Global Holder regularity for the fractional p-Laplacian, <<REVISTA MATEMATICA IBEROAMERICANA>>, 2016; 32 (4): 1355-1394. [doi:10.4171/RMI/921] [http://hdl.handle.net/10807/87030]
Global Holder regularity for the fractional p-Laplacian
Squassina, MarcoUltimo
2016
Abstract
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.
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