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Singular Perturbation Problem for Generalized Choquard Equations

2018-12-13 00:00

Speaker: Kazunaga Tanaka

unit:

Time: 2018-05-10 14:30-15:15

Venue: Room 111, Center for Applied Mathematics

starttime: 2018-05-10 14:30-15:15

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Theme：: Singular Perturbation Problem for Generalized Choquard Equations

Time：: 2018-05-10 14:30-15:15

Venue：: Room 111, Center for Applied Mathematics

Speaker：: Kazunaga Tanaka

Abstract

We study the singular perturbation problem for a class of generalized Choquard equations:

$$ -\varepsilon^2 \Delta u +V(x)u=(I_\alpha*F(u))f(u)$$

We study the existence and multiplicity of concentrating solutions using variational methods. Especially, we give an existence result forlocally sublinear case.
This is a joint work with S. Cingolani

Seminars_raw

Seminars_raw

Singular Perturbation Problem for Generalized Choquard Equations

Abstract