6 citations · 7 across the 6 of their papers we have counts for
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A survey on boundary regularity for the fractional p-Laplacian and its applications
Antonio Iannizzotto
We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of rela…
Multiple solutions for superlinear fractional -Laplacian equations
Antonio Iannizzotto, Vasile Staicu, Vincenzo Vespri
We study a Dirichlet problem driven by the (degenerate or singular) fractional -Laplacian and involving a -superlinear reaction at infinity, not necessarily satisfying th…
Optimization problems in rearrangement classes for fractional -Laplacian equations
Antonio Iannizzotto, Giovanni Porru
We discuss two optimization problems related to the fractional -Laplacian. First, we prove the existence of at least one minimizer for the principal eigenvalue of the fractional…
Fine boundary regularity for the singular fractional p-Laplacian
Antonio Iannizzotto, Sunra Mosconi
We study the boundary weighted regularity of weak solutions to a -fractional -Laplacian equation in a bounded smooth domain with bounded reaction and nonlocal Dirichl…
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…
Existence results for fractional p-Laplacian problems via Morse theory
Antonio Iannizzotto, Shibo Liu, Kanishka Perera +1
We investigate a class of quasi-linear nonlocal problems, including as a particular case semi-linear problems involving the fractional Laplacian and arising in the framework of con…