Giovanni Pisante

activity

20112026

most citedAn isoperimetric inequality for a nonlinear eigenvalue problem

11 citations · 22 across the 13 of their papers we have counts for

collaborators

17 papers

math.OC2026

An existence result for a quantitative isoperimetric inequality in $R^{3}$ involving the Hausdorff asymmetry

Silvio Bove, Gisella Croce, Giovanni Pisante

We study the existence of an optimizer for a quantitative isoperimetric ratio $Q_{*}$ in $R^{3}$ involving the Hausdorff asymmetry. We prove that $Q_{*}$ att…

math.AP2025

Anisotropic Improved Leray-Trudinger Inequality

Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis

We establish a Leray- Trudinger Type inequality in the anisotropic setting induced by a strongly convex Finsler norm F. The result generalizes classical exponential integrability i…

math.AP2023★ 1 cited

Spectral optimization for weighted anisotropic problems with Robin conditions

Benedetta Pellacci, Giovanni Pisante, Delia Schiera

We study a weighted eigenvalue problem with anisotropic diffusion in bounded Lipschitz domains $Ω \subset R^{N}$ , $N \geq 1$ , under Robin boundary conditions, proving the exi…

math.AP2022

The optimal Leray-Trudinger inequality

Giuseppina Di Blasio, Giovanni Pisante, Georgios Psaradakis

We fill the gap left open in \cite{MT}, regarding the minimum exponent on the logarithmic correction weight so that the Leray-Trudinger inequality (see \cite{PsSp}) holds. Instead…

math.OC2022

A note on existence of an optimal set for a bonnesen type quantitative isoperimetric ratio in the plane

Silvio Bove, Gisella Croce, Giovanni Pisante

In this note we prove the existence of a set $E_{0} \subset R^{2}$ , different from a ball, which minimizes, among the convex sets that satisfy a suitable interior cone condition…

math.OC2021

A reverse isoperimetric inequality for planar ( $α$ , $β$ )--convex bodies

Gisella Croce, Zakaria Fattah, Giovanni Pisante

In this paper, we study a reverse isoperimetric inequality for planar convex bodies whose radius of curvature is between two positive numbers 0 < $α$ < $β$ , called ( $α$ , $β$ )--conv…

math.FA2019

A weighted anisotropic Sobolev type inequality and its applications to Hardy inequalities

Giuseppina di Blasio, Giovanni Pisante, Georgeos Psaradakis

In this paper we focus our attention on an embedding result for a weighted Sobolev space that involves as weight the distance function from the boundary taken with respect to a gen…

math.OC2016

Variational methods for the selection of solutions to an implicit system of PDEs

Gisella Croce, Giovanni Pisante

We consider the vectorial system \[ \begin{cases} Du \in \mathcal{O}(2), & \mbox{a.e. in}\;Ω, u=0, & \mbox{on} \;\partial Ω, \end{cases} \] where $Ω$ is a subset of $R^{2}$ , $u:Ω\to…

math.AP2016

Sobolev and Lipschitz regularity for local minimizers of widely degenerate anisotropic functionals

Lorenzo Brasco, Chiara Leone, Giovanni Pisante +1

We prove higher differentiability of bounded local minimizers to some widely degenerate functionals, verifying superquadratic anisotropic growth conditions. In the two dimensional…

math.AP2016★ 8 cited

$D$ -solutions to the system of vectorial Calculus of Variations in $L^{\infty}$ via the singular value problem

Gisella Croce, Nikos Katzourakis, Giovanni Pisante

For $H \in C^{2} (R^{N \times n})$ and $u : Ω \subseteq R^{n} \to R^{N}$ , consider the system \[ \label{1}\mathrm{A}\_\infty u\, :=\,\Big(\mathrm{H}\_P…

math.AP2015

Sign-changing two-peak solutions for an elliptic free boundary problem related to confined plasmas

Giovanni Pisante, Tonia Ricciardi

By a perturbative argument, we construct solutions for a plasma-type problem with two opposite-signed sharp peaks at levels $1$ and $- γ$ , respectively, where $0 < γ < 1$ . We establish…

math.AP2014

On the finite time blow-up for filtration problems with nonlinear reaction

Klemens Fellner, Evangelos Latos, Giovanni Pisante

We present results for finite time blow-up for filtration problems with nonlinear reaction under appropriate assumptions on the nonlinearities and the initial data. In particular,…

math.AP2013★ 2 cited

On representation of boundary integrals involving the mean curvature for mean-convex domains

Yoshikazu Giga, Giovanni Pisante

Given a mean-convex domain $Ω \subset R^{n}$ with boundary of class $C^{2, 1}$ , we provide a representation formula for a boundary integral of the type \[ \int_{\partial Ω} f(k(x)) \,…

math.AP2013

Minimality via second variation for microphase separation of diblock copolymer melts

Vesa Julin, Giovanni Pisante

We consider a non local isoperimetric problem arising as the sharp interface limit of the Ohta-Kawasaki free energy introduced to model microphase separation of diblock copolymers.…

math.AP2011

A quantitative second order minimality criterion for cavities in elastic bodies

Giuseppe Maria Capriani, Vesa Julin, Giovanni Pisante

We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation then it is a strict local minimizer. We also pro…

math.AP2011

On the selection of a particular class of solutions to a system of eikonal equations