3 papers
math.AP2024
Variational properties of space-periodic standing waves of nonlinear Schr{ö}dinger equations with general nonlinearities
Perla Kfoury, Stefan Le Coz
Periodic waves are standing wave solutions of nonlinear Schr\''odinger equations whose profile is periodic in space dimension one. We consider general nonlinearities and provide va…
math.AP2023
Computation of excited states for the nonlinear Schr{ö}dinger equation: numerical and theoretical analysis
Christophe Besse, Romain Duboscq, Stefan Le Coz
Our goal is to compute excited states for the nonlinear Schr{ö}dinger equation in the radial setting. We introduce a new technique based on the Nehari manifold approach and give a…
math.AP2023
A minimal mass blow-up solution on a nonlinear quantum star graph
François Genoud, Stefan Le Coz, Julien Royer
We construct a finite-time blow-up solution to the mass-critical focusing nonlinear Schrödinger equation on a metric star graph with an arbitrary number of edges. We show that all…