# 数理信息学院举办丽泽论坛----“维新论坛”研究生人人学术报告----数学专场第一期

（一）高发顺  Some recent results of critical Choquard equation

For N=3,p=2 andμ=1,it goes back to the description of the quantum theory of a polaron at rest by S. Pekar in 1954 and the modeling of an electron trapped in its own hole by P. Choquard at the Symposium on Coulomb Systems, Lausanne, July, 1976, as a certain approximation to Hartree-Fock theory of one-component plasma. In this talk, we will introduce some results for the critical Choquard equation. This talk is based on some joint works with Claudianor O. Alves, Zifei Shen, Marco Squassina and Minbo Yang.

（二）李晨莹  某些点传递图在张量积下的独立集结构

$$V(G_{1},G_{2},G_{3})=V(G_{1})\times V(G_{2})\times V(G_{3}),$$

$$[(u_{1},u_{2},u_{3}),(v_{1},v_{2},v_{3})]\in E(G_1,G_2,G_3)\ \mbox{当且仅当}\ |\{i: (u_{i},v_{i})\in G_{i}\}|\geq2.$$

$$\alpha(G_{1},G_{2},G_{3})=max\{\alpha( G_{1})\alpha (G_{2})|G_{3}|,\alpha( G_{1})\alpha (G_{3})|G_{2}|,\alpha( G_{2})\alpha (G_{3})|G_{1}|\}$$ 成立,

（三）刘鹏程  Approximation Algorithm for Minimum Connected 3-Path Vertex Cover

（四）汤厚志  带有负指数的椭圆方程解的存在性

通过不同的方法和不同的条件，最后得出两类泛函存在的临界点。

（五）李桃桃  RN一类拟线性椭圆方程解的存在性

，函数