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# Singular Perturbation Problem for Generalized Choquard Equations

2018-12-13 09:39

#### 报告人简介

Professor of Waseda University

#### 报告内容介绍

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