University of Pisa

output

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.

collaborating institutions

Showing 2024 · math.APShow all

9 papers · 2 filters

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…