3 papers
math-ph2026
A sharp three-particle fractional Hardy inequality and an angular Selberg-type identity
Rajesh Mahadevan, Franco Olivares, Andres Zuniga
We establish a sharp three-particle fractional Hardy inequality for the Laplacian of order in dimension (Theorem 1.1), involving an explicit intrinsically…
math.AP2024
Delaunay-like compact equilibria in the liquid drop model
Manuel del Pino, Monica Musso, Andrés Zúñiga
The liquid drop model was introduced by Gamow in 1928 and Bohr-Wheeler in 1938 to model atomic nuclei. The model describes the competition between the surface tension, which keeps…
math.AP2021
On the stability of radial solutions to an anisotropic Ginzburg-Landau equation
Xavier Lamy, Andrés Zúñiga
We study the linear stability of entire radial solutions , with positive increasing profile , to the anisotropic Ginzburg-Landau equation \[ -Δu -δ(\pa…