17 nov 2016 -- 17:00 [open in google calendar]
Scuola Normale Superiore, Aula Tonelli
I will discuss the existence of groundstate solutions for the Choquard equation in the whole space RN.
I will first consider the case of a homogeneous nonlinearity F(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.