Normalised solutions to mass supercritical Schrödinger equations with radial potentials

par Pablo Carrillo Martinez

mardi 3 nov. 2026, 11:00 → 13:00 Europe/Paris

In this talk we consider the stationary nonlinear Schrodinger equation with radial bounded potentials. In the first part of the talk, we devise a procedure in order to prove the existence of two solutions through spectral arguments and trying to avoid as much as possible the use of Pohozaev identities. In the second part of the talk, we give a deep insight to the use of Morse type information in the context of a blow-up problem in order to obtain integral and pointwise estimates, and explore the richness of such problems posed in radial context. Such analysis is crucial to finish the existence proof. Joint work with Louis Jeanjean.