activity
20242026
collaborators
Showing math.APShow all

5 papers · 1 filter

math.AP2026

Classification of singular solutions to the subcritical Lane-Emden equation in

Francesco Esposito, Luigi Muglia, Berardino Sciunzi +1

We provide a classification result of positive solutions with a non-removable singularity at the origin to the subcritical Lane-Emden equation in $\mathbb{R}^N \set…

math.AP2026

Existence and uniqueness of weak solutions to singular anisotropic elliptic problems

Francesco Esposito, Francescantonio Oliva, Eugenio Vecchi

In this paper we consider a quasilinear singular anisotropic elliptic problem with a p-sublinear perturbation. We prove uniqueness of weak solutions and we provide necessary and su…

math.AP2025

Radial symmetry of positive solutions to quasilinear Hardy-Sobolev doubly critical systems

Laura Baldelli, Francesco Esposito, Rafael Lopez-Soriano +1

The aim of this paper is to prove radial symmetry results for positive weak solutions with finite energy to the following quasilinear doubly critical system \begin{equation} \begin…

math.AP2024

Brezis-Nirenberg-type results for the anisotropic -Laplacian

Stefano Biagi, Francesco Esposito, Alberto Roncoroni +1

In this paper we consider a quasilinear elliptic and critical problem with Dirichlet boundary conditions in presence of the anisotropic -Laplacian. The critical exponent is the…

math.AP2024

On mixed local-nonlocal problems with Hardy potential

Stefano Biagi, Francesco Esposito, Luigi Montoro +1

In this paper we study the effect of the Hardy potential on existence, uniqueness and optimal summability of solutions of the mixed local-nonlocal elliptic problem $$-Δu + (-Δ)^s…