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.
|Number of pages||40|
|Journal||Revista Matematica Iberoamericana|
|Publication status||Published - 2016|
- fractional p-Laplacian
- global Holder regularity