学术讲座信息
报告题目：Some topics on degenerate Kirchhoff-type fractional Laplacian problems
报告人：张彬林教授
报告时间：2020/10/22 10:00-11:00
报告形式: 腾讯会议
会议ID：363653047
报告摘要：In this talk, we present three topics on degenerate Kirchhoff-type fractional Laplacian problems: (i) On existence of infinitely many solutions for critical degenerate Kirchhoff-type problems involving the fractional Laplacian; (ii) On existence and multiplicity of solutions for fractional Kirchhoff-type equations with Trudinger-Moser nonlinearity; (iii) On existence and uniqueness of solutions for singular Kirchhoff-type fractional Laplacian problems. It is worth mentioning that these kinds of problems possess significant difficulties caused by the interactions between the degenerate Kirchhoff term and the nonlocal feature of the fractional Laplacian.
报告人简介：
张彬林，山东科技大学教授，博士生导师。2013年博士毕业于哈尔滨工业大学，先后在意大利地中海研究中心和南开大学陈省身数学研究所做两站博士后。当前的主要研究兴趣是变分法及其在偏微分方程中的应用。在《Calc. Var. PDEs》、《Nonlinearity》、《J. Differential Equations》、《Disc. Contin. Dyn. Syst.》、《Science China-Mathematics》等数学期刊上发表学术论文90余篇。入选科睿唯安2019年全球高被引科学家名单。现任Advances in Nonlinear Analysis, Complex Variables and Elliptic Equations, Boundary Value Problems等期刊编委。