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

14.2k citations

Showing 2025 · math.APShow all

5 papers · 2 filters

math.AP2025

The capillary Christoffel-Minkowski problem

Xinqun Mei, Guofang Wang, Liangjun Weng

In this article, we introduce a -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 -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 setting

Vladimir Georgiev, Mario Rastrelli

We study the perturbed Sobolev spaces , associated with singular perturbation of Laplace operator in Euclidean space of dimensions 2 and 3. We exte…