A. Iannizzotto

activity

20132026

most citedThree solutions for a Neumann partial differential inclusion via nonsmooth Morse theory

6 citations · 19 across the 31 of their papers we have counts for

collaborators

38 papers

math.AP2026

On boundary regularity for the fractional p-Laplacian with unbounded reactions

Antonio Iannizzotto, Sunra Mosconi

We consider an elliptic equation driven by the $s$ -fractional $p$ -Laplacian, set in a smooth bounded domain $Ω \subset R^{N}$ with homogeneous nonlocal Dirichlet conditions an…

math.AP2026

Integral Harnack estimates and the rate of extinction of singular fractional diffusion

Filippo M. Cassanello, Simone Ciani, Antonio Iannizzotto

We prove several integral Harnack-type inequalities for local weak solutions of parabolic equations with measurable and bounded coefficients, describing singular s-fractional p-Lap…

math.AP2025

Existence of solutions for nonlinear equations with mixed local and nonlocal operators

Antonio Iannizzotto

We study an elliptic equation, with homogeneous Dirichlet boundary conditions, driven by a mixed type operator (the sum of the Laplacian and the fractional Laplacian), involving a…

math.AP2024★ 1 cited

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…

math.AP2024

Multiple solutions for superlinear fractional $p$ -Laplacian equations

Antonio Iannizzotto, Vasile Staicu, Vincenzo Vespri

We study a Dirichlet problem driven by the (degenerate or singular) fractional $p$ -Laplacian and involving a $(p - 1)$ -superlinear reaction at infinity, not necessarily satisfying th…

math.AP2024

Optimization problems in rearrangement classes for fractional $p$ -Laplacian equations

Antonio Iannizzotto, Giovanni Porru

We discuss two optimization problems related to the fractional $p$ -Laplacian. First, we prove the existence of at least one minimizer for the principal eigenvalue of the fractional…

math.AP2024★ 1 cited

On a doubly sublinear fractional $p$ -Laplacian equation

A. Iannizzotto, S. Mosconi

We prove a bifurcation result for a Dirichlet problem driven by the fractional $p$ -Laplacian (either degenerate or singular), in which the reaction is the difference between two su…

math.AP2024

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)…

math.AP2024

Fine boundary regularity for the singular fractional p-Laplacian

Antonio Iannizzotto, Sunra Mosconi

We study the boundary weighted regularity of weak solutions $u$ to a $s$ -fractional $p$ -Laplacian equation in a bounded smooth domain $Ω$ with bounded reaction and nonlocal Dirichl…

math.AP2023

A clustering theorem in fractional Sobolev spaces

Fatma Gamza Düzgün, Antonio Iannizzotto, Vincenzo Vespri

We prove a general clustering result for the fractional Sobolev space $W^{s, p}$ : whenever the positivity set of a function $u$ in a square has measure bounded from below by a multi…

math.AP2022

Bifurcation-type results for the fractional p-Laplacian with parametric nonlinear reaction

Silvia Frassu, Antonio Iannizzotto

We study a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction, which depends on a positive parameter. The reaction is assumed to b…

math.AP2022

Positive solutions for the fractional p-Laplacian via mixed topological and variational methods

Antonio Iannizzotto

We study a nonlinear, nonlocal Dirichlet problem driven by the degenerate fractional p-Laplacian via a combination of topological methods (degree theory for operators of monotone t…

math.AP2022★ 2 cited

Optimal solvability for the fractional p-Laplacian with Dirichlet conditions

Antonio Iannizzotto, Dimitri Mugnai

We study a nonlinear, nonlocal Dirichlet problem driven by the fractional p-Laplacian, involving a (p-1)-sublinear reaction. By means of a weak comparison principle we prove unique…

math.AP2021

Five solutions for the fractional p-Laplacian with noncoercive energy

Silvia Frassu, Antonio Iannizzotto

We deal with a Dirichlet problem driven by the degenerate fractional p-Laplacian and involving a nonlinear reaction which satisfies, among other hypotheses, a (p-1)-linear growth a…

math.AP2021

Monotonicity of eigenvalues of the fractional p-Laplacian with singular weights

Antonio Iannizzotto

We study a nonlinear, nonlocal eigenvalue problem driven by the fractional p-Laplacian with an indefinite, singular weight chosen in an optimal class. We prove the existence of an…

math.AP2021

Multiple solutions for the fractional p-Laplacian with jumping reactions

Silvia Frassu, Antonio Iannizzotto

We study a nonlinear elliptic equation driven by the degenerate fractional p-Laplacian, with Dirichlet type condition and a jumping reaction, i.e., (p-1)-linear both at infinity an…

math.AP2021★ 1 cited

On the logistic equation for the fractional p-Laplacian

Antonio Iannizzotto, Sunra Mosconi, Nikolaos S. Papageorgiou

We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, with a logistic type reaction depending on a positive param…

math.AP2020★ 1 cited

Four solutions for fractional p-Laplacian equations with asymmetric reactions

Roberto Livrea, Antonio Iannizzotto

We consider a Dirichlet type problem for a nonlinear, nonlocal equation driven by the degenerate fractional p-Laplacian, whose reaction combines a sublinear term depending on a pos…

math.AP2020

Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth

Silvia Frassu, Antonio Iannizzotto

We study a Dirichlet type problem for an equation involving the fractional Laplacian and a reaction term subject to either subcritical or critical growth conditions, depending on a…

math.AP2019

Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian

Silvia Frassu, Antonio Iannizzotto

We study a pseudo-differential equation driven by the degenerate fractional p-Laplacian, under Dirichlet type conditions in a smooth domain. First we show that the solution set wit…

math.AP2019

Sobolev versus Hölder minimizers for the degenerate fractional $p$ -Laplacian

Antonio Iannizzotto, Sunra Mosconi, Marco Squassina

We consider a nonlinear pseudo-differential equation driven by the fractional $p$ -Laplacian $(- Δ)_{p}^{s}$ with $s \in (0, 1)$ and $p \geq 2$ (degenerate case), under Dirichlet type conditi…

math.AP2018

Eigenvalue problems for Fredholm operators with set-valued perturbations

Pierluigi Benevieri, Antonio Iannizzotto

By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator. As a consequence, we prove ex…

math.AP2018

Strict monotonicity and unique continuation for general non-local eigenvalue problems

Silvia Frassu, Antonio Iannizzotto

We consider the weighted eigenvalue problem for a general non-local pseudo-differential operator, depending on a bounded weight function. For such problem, we prove that strict (de…

math.AP2018

Fine boundary regularity for the degenerate fractional $p$ -Laplacian

Antonio Iannizzotto, Sunra Mosconi, Marco Squassina

We consider a pseudo-differential equation driven by the fractional $p$ -Laplacian with $p \geq 2$ (degenerate case), with a bounded reaction $f$ and Dirichlet type conditions in a sm…

On boundary regularity for the fractional p-Laplacian with unbounded reactions

Integral Harnack estimates and the rate of extinction of singular fractional diffusion

Existence of solutions for nonlinear equations with mixed local and nonlocal operators

A survey on boundary regularity for the fractional p-Laplacian and its applications

Multiple solutions for superlinear fractional p-Laplacian equations

Optimization problems in rearrangement classes for fractional p-Laplacian equations

On a doubly sublinear fractional p-Laplacian equation

Hölder regularity for the fractional p-Laplacian, revisited

Fine boundary regularity for the singular fractional p-Laplacian

A clustering theorem in fractional Sobolev spaces

Bifurcation-type results for the fractional p-Laplacian with parametric nonlinear reaction

Positive solutions for the fractional p-Laplacian via mixed topological and variational methods

Optimal solvability for the fractional p-Laplacian with Dirichlet conditions

Five solutions for the fractional p-Laplacian with noncoercive energy

Monotonicity of eigenvalues of the fractional p-Laplacian with singular weights

Multiple solutions for the fractional p-Laplacian with jumping reactions

On the logistic equation for the fractional p-Laplacian

Four solutions for fractional p-Laplacian equations with asymmetric reactions

Existence and multiplicity of positive solutions for the fractional Laplacian under subcritical or critical growth

Extremal constant sign solutions and nodal solutions for the fractional p-Laplacian

Sobolev versus Hölder minimizers for the degenerate fractional p-Laplacian

Eigenvalue problems for Fredholm operators with set-valued perturbations

Strict monotonicity and unique continuation for general non-local eigenvalue problems

Fine boundary regularity for the degenerate fractional p-Laplacian

Multiple solutions for superlinear fractional $p$ -Laplacian equations

Optimization problems in rearrangement classes for fractional $p$ -Laplacian equations

On a doubly sublinear fractional $p$ -Laplacian equation

Sobolev versus Hölder minimizers for the degenerate fractional $p$ -Laplacian

Fine boundary regularity for the degenerate fractional $p$ -Laplacian