Variational methods for topological patterns arising in physics

On a nonlinear Schrödinger equation: uniqueness, non-degeneracy and applications to energy minimization

25 nov. 2025, 16:40

45m

Conference Room of INdAM (Istituto Nazionale di Alta Matematica (INdAM))

Orateur

Simona Rota Nodari (Nice)

Description

This talk will focus on qualitative properties of normalized ground states for a nonlinear Schrödinger equation with double-power nonlinearity. These ground states are characterized as energy minimizers under a fixed L^2-norm contraint. I will present recent results concerning their existence, and I will discuss their uniqueness in certain regimes of parameters. Joint work with Mathieu Lewin.