# Normalized  solutions for non-autonomous Schroedinger equations in $R^n$ and exterior domains – Riccardo Molle (Università Roma Tor Vergata)

#### Venue

Department of Mathematics, Aula Seminari

#### Abstract

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.
Verzini.

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