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.
2016
Fractional p-Laplacian; fractional Sobolev spaces; global Holder regularity
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/241397
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