University of Pisa

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19922026

most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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248 papers · 1 filter

math.AP2025

The capillary Christoffel-Minkowski problem

Xinqun Mei, Guofang Wang, Liangjun Weng

In this article, we introduce a $k$ -th capillary area measure for capillary convex bodies in the Euclidean half-space, which serves as a boundary counterpart to the classical conce…

math.AP2025

Continuity of critical points for 1-dimensional non-local energies

Davide Carazzato, Nicola Fusco, Aldo Pratelli

In this paper we deal with the bounded critical points of a Riesz energy of attractive-repulsive type in dimension 1. Under suitable assumptions on the growth of the kernel in the…

math.AP2025

Particle approximation of nonlocal interaction energies

Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu

We consider Riesz-type nonlocal energies with general interaction kernels and their discretizations related to particle systems. We prove that the discretized energies $Γ$ -converge…

math.AP2025

Skyrmion stacking in stray field-coupled ultrathin ferromagnetic multilayers

N. J. Dubicki, V. V. Slastikov, A. Bernand-Mantel +1

This paper explores the energy landscape of ferromagnetic multilayer heterostructures that feature magnetic skyrmions -- tiny whirls of spins with non-trivial topology -- in each m…

math.AP2025★ 3 cited

Fractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the $L^{p}$ setting

Vladimir Georgiev, Mario Rastrelli

We study the perturbed Sobolev spaces $H_{α}^{s, p} (R^{d})$ , associated with singular perturbation $Δ_{α}$ of Laplace operator in Euclidean space of dimensions 2 and 3. We exte…

math.AP2024

Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems

Roberto Ognibene, Bozhidar Velichkov

We consider energy-minimizing harmonic maps into trees and we prove the regularity of the singular part of the free interface near triple junction points. Precisely, by proving a n…

math.AP2024

Local well-posedness and blow-up in the energy space for the 2D NLS with point interaction

Luigi Forcella, Vladimir Georgiev

We consider the two-dimensional nonlinear Schrödinger equation with point interaction and we establish a local well-posedness theory, including blow-up alternative and continuous d…

math.AP2024

A charged liquid drop model with Willmore energy

Michael Goldman, Matteo Novaga, Berardo Ruffini

We consider a variational model of electrified liquid drops, involving competition between surface tension and charge repulsion. Since the natural model happens to be ill-posed, we…

math.AP2024★ 2 cited

A fully nonlinear locally constrained curvature flow for capillary hypersurface

Xinqun Mei, Liangjun Weng

In this article, we study a locally constrained fully nonlinear curvature flow for convex capillary hypersurfaces in half-space. We prove that the flow preserves the convexity, exi…

math.AP2024

Classical solutions to the soap film capillarity problem for plane boundaries

Giulia Bevilacqua, Salvatore Stuvard, Bozhidar Velichkov

We study the soap film capillarity problem, in which soap films are modeled as sets of least perimeter among those having prescribed (small) volume and satisfying a topological spa…

math.AP2024★ 2 cited

Cylindrical estimates for the Cheeger constant and applications

Aldo Pratelli, Giorgio Saracco

We prove a lower bound for the Cheeger constant of a cylinder $Ω \times (0, L)$ , where $Ω$ is an open and bounded set. As a consequence, we obtain existence of minimizers for the sha…

math.AP2024

Radial Solutions and a Local Bifurcation Result for a Singular Elliptic Problem with Neumann Condition

Claudio Saccon

We study the problem $- Δ u = λ u - u^{- 1}$ with a Neumann boundary condition; the peculiarity being the presence of the singular term $- u^{- 1}$ . We point out that the minus sign in front…

math.AP2024★ 1 cited

Local and global existence for the Ericksen-Leslie problem in unbounded domains

Daniele Barbera, Vladimir Georgiev

The work deals with the Ericksen-Leslie model for nematic liquid crystals on the whole space, the half-space and on exterior domains with smooth boundary. The crystal orientation i…

math.AP2024★ 1 cited

Eulerian, Lagrangian and broad continuous solutions to a balance law with non convex flux II

Giovanni Alberti, Stefano Bianchini, Laura Caravenna

We consider a *continuous* solution $u$ of the balance law \[ \partial_{\mathit t} u + \partial_{\mathit x} (f(u)) = g\] in one space dimension, where the flux function $f$ is of c…

math.AP2023★ 5 cited

Low regularity solutions to the logarithmic Schrodinger equation

Rémi Carles, Masayuki Hayashi, Tohru Ozawa

We consider the logarithmic Schr{ö}dinger equation, in various geometric settings. We show that the flow map can be uniquely extended from H^1 to L^2 , and that this extension is L…

math.AP2023★ 3 cited

Lattice tilings minimizing nonlocal perimeters

Annalisa Cesaroni, Ilaria Fragalà, Matteo Novaga

We prove the existence of periodic tessellations of $R^{N}$ minimizing a general nonlocal perimeter functional, defined as the interaction between a set and its complement t…

math.AP2023★ 6 cited

The Cauchy problem for the logarithmic Schrödinger equation revisited

Masayuki Hayashi, Tohru Ozawa

We revisit the Cauchy problem for the logarithmic Schrödinger equation and construct strong solutions in $H^{1}$ , the energy space, and the $H^{2}$ -energy space. The solutions are prov…

math.AP2023★ 4 cited

Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group

Giampiero Palatucci, Mirco Piccinini, Letizia Temperini

We investigate some of the effects of the lack of compactness in the critical Folland-Stein-Sobolev embedding in very general (possible non-smooth) domains, by proving via De Giorg…

math.AP2023★ 3 cited

On the existence of minimizing sets for a weakly-repulsive non-local energy

Davide Carazzato, Aldo Pratelli, Ihsan Topaloglu

We consider a non-local interaction energy over bounded densities of fixed mass $m$ . We prove that under certain regularity assumptions on the interaction kernel these energies adm…

math.AP2023★ 8 cited

Reduced energies for thin ferromagnetic films with perpendicular anisotropy

G. Di Fratta, C. B. Muratov, V. V. Slastikov

We derive four reduced two-dimensional models that describe, at different spatial scales, the micromagnetics of ultrathin ferromagnetic materials of finite spatial extent featuring…

math.AP2023★ 6 cited

A short proof of Allard's and Brakke's regularity theorems

Guido De Philippis, Carlo Gasparetto, Felix Schulze

We give new short proofs of Allard's regularity theorem for varifolds with bounded first variation and Brakke's regularity theorem for integral Brakke flows with bounded forcing. T…

math.AP2023★ 4 cited

Thomas-Fermi theory of out-of-plane charge screening in graphene

Vitaly Moroz, Cyrill B. Muratov

This paper provides a variational treatment of the effect of external charges on the free charges in an infinite free-standing graphene sheet within the Thomas-Fermi theory. We est…

math.AP2023

A variational model of charged drops in dielectrically matched binary fluids: the effect of charge discreteness

Cyrill B. Muratov, Matteo Novaga, Philip Zaleski

This paper addresses the ill-posedness of the classical Rayleigh variational model of conducting charged liquid drops by incorporating the discreteness of the elementary charges. I…

math.AP2023

$L^{1}$ -gradient flow of convex functionals

Antonin Chambolle, Matteo Novaga

We are interested in the gradient flow of a general first order convex functional with respect to the $L^{1}$ -topology. By means of an implicit minimization scheme, we show existence…

The capillary Christoffel-Minkowski problem

Continuity of critical points for 1-dimensional non-local energies

Particle approximation of nonlocal interaction energies

Skyrmion stacking in stray field-coupled ultrathin ferromagnetic multilayers

Fractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the Lp setting

Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems

Local well-posedness and blow-up in the energy space for the 2D NLS with point interaction

A charged liquid drop model with Willmore energy

A fully nonlinear locally constrained curvature flow for capillary hypersurface

Classical solutions to the soap film capillarity problem for plane boundaries

Cylindrical estimates for the Cheeger constant and applications

Radial Solutions and a Local Bifurcation Result for a Singular Elliptic Problem with Neumann Condition

Local and global existence for the Ericksen-Leslie problem in unbounded domains

Eulerian, Lagrangian and broad continuous solutions to a balance law with non convex flux II

Low regularity solutions to the logarithmic Schrodinger equation

Lattice tilings minimizing nonlocal perimeters

The Cauchy problem for the logarithmic Schrödinger equation revisited

Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group

On the existence of minimizing sets for a weakly-repulsive non-local energy

Reduced energies for thin ferromagnetic films with perpendicular anisotropy

A short proof of Allard's and Brakke's regularity theorems

Thomas-Fermi theory of out-of-plane charge screening in graphene

A variational model of charged drops in dielectrically matched binary fluids: the effect of charge discreteness

L1-gradient flow of convex functionals

Fractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the $L^{p}$ setting

$L^{1}$ -gradient flow of convex functionals