Special Session 2: Recent advances in nonlinear Schrodinger systems
The existence of $L^2$-normalized solutions in the $L^2$-critical setting
Norihisa Ikoma
Keio University
Japan
Co-Author(s):    Silvia Cingolani, Marco Gallo, Kazunaga Tanaka
Abstract:
This talk is concerned with the existence of $L^2$-normalized solutions. In particular, we deal with the $L^2$-critical nonlinearity both at $0$ and $\infty$. A model case is the power nonlinearity and this problem has a solution only for one mass. We consider a perturbation of this power nonlinearity and our problem is delicate since we could not expect the existence of solutions for general masses. This is joint work with Silvia Cingolani, Marco Gallo and Kazunaga Tanaka.
Go Back