报告题目：Normalized solutions to the Choquard equation with a logarithmic perturbation

报告人：杨小龙博士，河南大学

报告时间：2023年12月5日（周二）18:30-19:30

报告地点：腾讯会议：873-388-775

报告摘要：In this talk, we study the existence of normalized solutions to the following nonlinear Choquard equation

  in

under the mass constraint where is a constant, ,,   , and the parameter  appears as a Lagrange multiplier. Under different assumptions on p and c, we first show that the existence of the associated global minimizer. When , we prove that the existence of ground state and excited state. Moreover, the asymptotic behaviors of ground state solution and mountain-pass solution as are obtained. This is a joint work with Yinbin Deng and Yulin Shi.

个人简介：杨小龙，博士，2023年毕业于华中师范大学，师从邓引斌教授。主要从事非线性偏微分方程、 非线性泛函分析的研究，主要研究成果发表于J. Differential Equations、 J. Geom. Anal.、Topol. Methods Nonlinear Anal.、J. Math. Phys.等国际期刊。

邀请人：杨涛