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Luigi Appolloni (University of Leeds) – Normalized Solutions for the Mass Supercritical Schrödinger Equation in Exterior Domains

Category
Geometry and Analysis
Date
@ Roger Stevens Lecture Theatre 11
Date
@ Roger Stevens Lecture Theatre 11, 15:00
Location
Roger Stevens Lecture Theatre 11
Speaker
Luigi Appolloni
Affiliation
University of Leeds
The existence of positive solutions for the Schrödinger equation with a prescribed L2 norm has been a subject of great interest in recent years. While the problem is well-understood in the whole Euclidean space, very little is known concerning the existence of solutions in more general domains. In this talk, we will present some recent results on the existence of solutions in exterior domains with a mass supercritical nonlinearity. This is a joint work with Prof. Riccardo Molle.