23 Nov 2016
14:15  - 15:15

Spiegelgasse 1, Lecture Room 0.003

Seminar Analysis: Luca Battaglia (University of Rome, La Sapienza)

Groundstate solutions for a nonlinear Choquard equation

 

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) =|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.


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