Friday, July 21, 2023 — 11:00 am — aula M1.6, edificio Matematica
Non-symmetric Schroedinger equations in exterior domains
Abstract: This talk concerns with some recent results about the existence of positive solutions with fixed $L^2$ norm for nonlinear Schrödinger equations with a non-symmetric potential. Mass supercritical and mass subcritical regimes are considered. We describe a nonexistence result and then we present existence results. In particular, the case of exterior domains is analysed, where the result is new also for the autonoumos problem.
Joint works with T. Bartsch, S. Lancelotti, G. Riey, M. Rizzi and G. Verzini.