学术报告

题目: Some recent advances on Kirchhoff-type fractional Laplacian problems

报告人：张彬林副教授

时间：2018 年 06 月 13 日（星期三）下午 4:10-5:30

地点：一办公楼121会议室

报告摘要: In this talk, we review some existence results on fractional p-Kirchhoff problems which stem from various aspects in physics. The fractional Kirchhoff problems have been studied extensively in recent years. Most of the known results are on the non-degenerate case. It is worth mentioning that the Kirchhoff problems involving the fractional Laplacian possess significant difficulties due to the presence of the Kirchhoff function and of the nonlocal feature of the fractional Laplacian. In this setting, some recent results on some kinds of fractional Kirchhoff problems in the non-degenerate and degenerate cases are presented. Finally, we will discuss some related topics on fractional Kirchhoff problems, such as Kirchhoff-Schrodinger Poission type problems, Kirchhoff- Schrodinger type problems with magnetic field,

Kirchhoff-Choquard type problems with magnetic field and so on.

报告人简介: 张彬林，黑龙江工程学院数学系副教授，应用数学研究所所长，哈尔滨工业大学基础数学博士，意大利地中海研究中心博士后，南开大学陈省身数学研究所博士后，哈尔滨工程大学兼职硕士生导师。自2012年以来，已发表录用SCI论文五十余篇，多数发表在国际知名数学期刊上，其中有十余篇入选为ESI高被引论文，在国外网站ResearchGate上，论文被引用总数为570次。2016年获得首届黑龙江省数学会优秀青年学术奖，2018年获黑龙江省高校科学技术二等奖（排序第一）。目前是美国数学会《Mathematical Reviews》评论员，3个国际数学SCI期刊的编委。