Department of Mathematics, Aula Seminari
This talk concerns with some recent results about the
existence of positive solutions with prescribed mass 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.