6 citations · 19 across the 31 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…
On a doubly sublinear fractional -Laplacian equation
A. Iannizzotto, S. Mosconi
We prove a bifurcation result for a Dirichlet problem driven by the fractional -Laplacian (either degenerate or singular), in which the reaction is the difference between two su…
Hölder regularity for the fractional p-Laplacian, revisited
Filippo Cassanello, Fatma Gamze Düzgün, Antonio Iannizzotto
We present an alternative proof for local Hölder regularity of the solutions of the fractional p-Laplace equations, based on clustering and expansion (more precisely, recentering)…
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…