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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 R3R^3.

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