S. Mosconi

activity

20122026

most citedA general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form

12 citations · 37 across the 33 of their papers we have counts for

collaborators

36 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.AP2024★ 2 cited

Power law convergence and concavity for the Logarithmic Schrödinger equation

Marco Gallo, Sunra Mosconi, Marco Squassina

We study concavity properties of positive solutions to the Logarithmic Schrödinger equation $- Δ u = u lo g u^{2}$ in a general convex domain with Dirichlet conditions. To this aim, we…

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

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

Concave solutions to Finsler $p$ -Laplace type equations

Sunra Mosconi, Giuseppe Riey, Marco Squassina

We prove concavity properties for solutions to anisotropic quasi-linear equations, extending previous results known in the Euclidean case. We focus the attention on nonsmooth aniso…

math.AP2023

Lipschitz regularity for solutions of a general class of elliptic equations

Greta Marino, Sunra Mosconi

We prove local Lipschitz regularity for local minimiser of \[ W^{1,1}(Ω)\ni v\mapsto \int_ΩF(Dv)\, dx \] where $Ω \subseteq R^{N}$ , $N \geq 2$ and $F:{\mathbb R}^N\to {\mathbb…

math.AP2022

A non-smooth Brezis-Oswald uniqueness result

Sunra Mosconi

We classify the non-negative critical points in $W_{0}^{1, p} (Ω)$ of \[ J(v)=\int_ΩH(Dv)-F(x, v)\, dx \] where $H$ is convex and positively $p$ -homogeneous, while $t\mapsto \partial_t…

math.AP2022

Uniqueness of the critical point for solutions to some $p$ -Laplace equations in the plane

William Borrelli, Sunra Mosconi, Marco Squassina

We prove that quasi-concave positive solutions to a class of quasi-linear elliptic equations driven by the $p$ -Laplacian in convex bounded domains of the plane have only one critic…

math.AP2021

Concavity properties for solutions to $p$ -Laplace equations with concave nonlinearities

William Borrelli, Sunra Mosconi, Marco Squassina

We obtain new concavity results, up to a suitable transformation, for a class of quasi-linear equations in a convex domain involving the $p$ -Laplace operator and a general nonlinea…

math.AP2021★ 12 cited

A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form

Umberto Guarnotta, Sunra Mosconi

For solutions of $div (D F (D u)) = f$ we show that the quasiconformality of $z \mapsto D F (z)$ is the key property leading to the Sobolev regularity of the stress field $D F (D u)$ ,…

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

Parabolic Harnack estimates for anisotropic slow diffusion

Simone Ciani, Sunra Mosconi, Vincenzo Vespri

We prove a Harnack inequality for positive solutions of a parabolic equation with slow anisotropic spatial diffusion. After identifying its natural scalings, we reduce the problem…

math.MG2019

Liouville theorems for ancient caloric functions via optimal growth conditions

Sunra Mosconi

We provide some Liouville theorems for ancient nonnegative solutions of the heat equation on a complete non-compact Riemannian manifold with Ricci curvature bounded from below. We…

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.AP2019

Quantitative truncation estimates for fractional Hardy-Sobolev optimizers

S. A. Marano, S. Mosconi

The general stability problem of truncations for a family of functions concentrating mass at the origin is described and a concrete example in the framework of entire optimizers fo…

math.AP2019

On the Schrödinger-Poisson system with indefinite potential and $3$ -sublinear nonlinearity

Sunra J. N. Mosconi, Shibo Liu

We consider a class of stationary Schrödinger-Poisson systems with a general nonlinearity $f (u)$ and coercive sign-changing potential $V$ so that the Schrödinger operator $- Δ + V$ is…

math.AP2019

Harnack and pointwise estimates for degenerate or singular parabolic equations

F. G. Düzgün, S. Mosconi, V. Vespri

In this paper we give both an historical and technical overview of the theory of Harnack inequalities for nonlinear parabolic equations in divergence form. We start reviewing the e…

math.AP2018★ 1 cited

Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations

F. G. Düzgün, S. Mosconi, V. Vespri

We consider a quasilinear parabolic Cauchy problem with spatial anisotropy of orthotropic type and study the spatial localization of solutions. Assuming the initial datum is locali…

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…

math.AP2017

Nonlocal problems with critical Hardy nonlinearity

Wenjing Chen, Sunra Mosconi, Marco Squassina

By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined…

math.AP2017

Optimal elliptic regularity: a comparison between local and nonlocal equations

Sunra Mosconi

Given $L \geq 1$ , we discuss the problem of determining the highest $α = α (L)$ such that any solution to a homogeneous elliptic equation in divergence form with ellipticity ratio boun…

math.AP2017

Some recent results on the Dirichlet problem for (p,q)-Laplace equations

Salvatore Marano, Sunra Mosconi

A short account of recent existence and multiplicity theorems on the Dirichlet problem for an elliptic equation with $(p, q)$ -Laplacian in a bounded domain is performed. Both eigenv…

math.AP2017

On a $(p, q)$ -Laplacian problem with parametric concave term and asymmetric perturbation

Salvatore Marano, Sunra Mosconi, Nikolaos Papageorgiou

A Dirichlet problem driven by the $(p, q)$ -Laplace operator and an asymmetric concave reaction with positive parameter is investigated. Four nontrivial smooth solutions (two positiv…

math.AP2017

Pohozaev identity for the fractional $p -$ Laplacian on $R^{N}$

Lorenzo Brasco, Sunra Mosconi, Marco Squassina

By virtue of a suitable approximation argument, we prove a Pohozaev identity for nonlinear nonlocal problems on $R^{N}$ involving the fractional $p -$ Laplacian operator. Furt…

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

Power law convergence and concavity for the Logarithmic Schrödinger equation

On a doubly sublinear fractional p-Laplacian equation

Fine boundary regularity for the singular fractional p-Laplacian

Concave solutions to Finsler p-Laplace type equations

Lipschitz regularity for solutions of a general class of elliptic equations

A non-smooth Brezis-Oswald uniqueness result

Uniqueness of the critical point for solutions to some p-Laplace equations in the plane

Concavity properties for solutions to p-Laplace equations with concave nonlinearities

A general notion of uniform ellipticity and the regularity of the stress field for elliptic equations in divergence form

On the logistic equation for the fractional p-Laplacian

Parabolic Harnack estimates for anisotropic slow diffusion

Liouville theorems for ancient caloric functions via optimal growth conditions

Sobolev versus Hölder minimizers for the degenerate fractional p-Laplacian

Quantitative truncation estimates for fractional Hardy-Sobolev optimizers

On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity

Harnack and pointwise estimates for degenerate or singular parabolic equations

Anisotropic Sobolev embeddings and the speed of propagation for parabolic equations

Fine boundary regularity for the degenerate fractional p-Laplacian

Nonlocal problems with critical Hardy nonlinearity

Optimal elliptic regularity: a comparison between local and nonlocal equations

Some recent results on the Dirichlet problem for (p,q)-Laplace equations

On a (p,q)-Laplacian problem with parametric concave term and asymmetric perturbation

Pohozaev identity for the fractional p−Laplacian on RN

On a doubly sublinear fractional $p$ -Laplacian equation

Concave solutions to Finsler $p$ -Laplace type equations

Uniqueness of the critical point for solutions to some $p$ -Laplace equations in the plane

Concavity properties for solutions to $p$ -Laplace equations with concave nonlinearities

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

On the Schrödinger-Poisson system with indefinite potential and $3$ -sublinear nonlinearity

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

On a $(p, q)$ -Laplacian problem with parametric concave term and asymmetric perturbation

Pohozaev identity for the fractional $p -$ Laplacian on $R^{N}$