output
19922026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2022 · math.APShow all

9 papers · 2 filters

math.AP2022

Blowup dynamics for mass critical Half-wave equation in 2D

Vladimir Georgiev, Yuan Li

We consider the half-wave equation in two dimensions. For the initial data , , we obtain the non-radia…

math.AP2022

Standing waves for a Schrödinger system with three waves interaction

Luigi Forcella, Xiao Luo, Tao Yang +1

We study standing waves for a system of nonlinear Schrödinger equations with three waves interaction arising as a model for the Raman amplification in a plasma. We consider the mas…

math.AP2022★ 1 cited

Scattering for non-radial 3D NLS with combined nonlinearities: the interaction Morawetz approach

Jacopo Bellazzini, Van Duong Dinh, Luigi Forcella

We give a new proof of the scattering below the ground state energy level for a class of nonlinear Schrödinger equations (NLS) with mass-energy intercritical competing nonlineariti…

math.AP2022★ 6 cited

Magnetic skyrmions under confinement

Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon +1

We present a variational treatment of confined magnetic skyrmions in a minimal micromagnetic model of ultrathin ferromagnetic films with interfacial Dzylashinksii-Moriya interactio…

math.AP2022★ 3 cited

Elastic membranes spanning deformable boundaries

Francesco Ballarin, Giulia Bevilacqua, Luca Lussardi +1

We perform a variational analysis of an elastic membrane spanning a closed curve which may sustain bending and torsion. First, we deal with parametrized curves and linear elastic m…

math.AP2022

Epsilon-regularity for the Brakke flow with boundary

Carlo Gasparetto

We prove that, if a Brakke flow with boundary is close enough to a stationary half-plane with density one, then it is . Our approach is based on viscosity techniques intro…

math.AP2022★ 1 cited

Liouville theorems and optimal regularity in elliptic equations

Giorgio Tortone

The objective of this paper is to establish a connection between the problem of optimal regularity among solutions to elliptic PDEs with measurable coefficients and the Liouville p…

math.AP2022★ 2 cited

On the nodal set of solutions to some sublinear equations without homogeneity

Nicola Soave, Giorgio Tortone

We investigate the structure of the nodal set of solutions to an unstable Alt-Phillips type problem \[ -Δu = λ_+(u^+)^{p-1}-λ_-(u^-)^{q-1} \] where , , $λ_- \g…

math.AP2022★ 1 cited

Rigidity of the ball for an isoperimetric problem with strong capacitary repulsion

Michael Goldman, Matteo Novaga, Berardo Ruffini

We consider a variational problem involving competition between surface tension and charge repulsion. We show that, as opposed to the case of weak (short-range) interactions where…