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Groundstate solutions for a nonlinear Choquard equation


I will discuss the existence of groundstate solutions for the Choquard equation in the whole space R^N.
I will first consider the case of a homogeneous nonlinearity F(u)=|u|^p, then I will prove the existence of solutions under general hypotheses. In particular, the cases N = 2 and N >= 3 will have to be treated differently.
The solutions are found through a variational mountain pass strategy.
http://cvgmt.sns.it/seminar/555/
When
Thu Nov 17, 2016 4pm – 5pm Coordinated Universal Time
Where
Scuola Normale Superiore, Aula Tonelli (map)