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math.AP2014
Global Hölder regularity for the fractional -Laplacian
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina
By virtue of barrier arguments we prove -regularity up to the boundary for the weak solutions of a non-local nonlinear problem driven by the fractional -Laplacian operator.…
math.AP2014
H^s versus C^0-weighted minimizers
Antonio Iannizzotto, Sunra Mosconi, Marco Squassina
We study a class of semi-linear problems involving the fractional Laplacian under subcritical or critical growth assumptions. We prove that, for the corresponding functional, local…