By virtue of barrier arguments we prove C^alpha-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.
Global Hölder regularity for the fractional p-Laplacian
MOSCONI, SUNRA JOHANNES NIKOLAJ;
2016-01-01
Abstract
By virtue of barrier arguments we prove C^alpha-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.File in questo prodotto:
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