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 Holder regularity for the fractional p-Laplacian
IANNIZZOTTO, ANTONIO;MOSCONI, SUNRA JOHANNES NICOLAJ;SQUASSINA, Marco
In corso di stampa
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.
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