2 papers
math.SP2026
Monotonicity of the first Dirichlet eigenvalue of regular polygons
Joel Dahne, Javier Gómez-Serrano, Joana Pech-Alberich
In this paper we prove that the first Dirichlet eigenvalue of an -sided regular polygon of fixed area is a monotonically decreasing function of for all ,…
math.AP2024
Self-Similar Singular Solutions to the Nonlinear Schrödinger and the Complex Ginzburg-Landau Equations
Joel Dahne, Jordi-LluÃs Figueras
We prove the existence of radial self-similar singular solutions for the mass supercritical Nonlinear Schrödinger Equation far from the critical regime and, more generally, branch…