Séminaire de EDP - Physique Mathématique
Ground state solutions for the nonlinear Schrodinger equation with cubi-quintic type nonlinearities
Tatsuya Watanabe
( Kyoto Sangyo University )Salle 1
le 11 juin 2024 à 11:00
We are interested in standing waves for the nonlinear Schrodinger equation with double power nonlinearities, whose typical example is the cubic-quintic nonlinearity in .
The cubic term is focusing and the quintic term can be chosen to be both focusing and defocusing.
I will introduce my recent results on the existence, uniqueness and non-degeneracy of ground state solutions based on the variational method and the shooting method