报告题目:Critical nonlinear Hartree equations and nonlinear HLS inequality
报 告 人:唐兴栋(南京信息工程大学 博士)
报告时间:2023年02月23日 下午3:00开始
报告地点:包玉书9号楼113报告厅
报告摘要:First, we consider the stationary critical nonlinear Hartree equation, we give a new proof of the existence of ground state of critical nonlinear Hartree equation, morevoer, we show the ground state is nondegenerate. Finally, we consider a class of nonlinear Hardy-Littlewood-Sobolev inequality which related to the critical nonlinear Hartree equation, and we get the existence and uniqueness of extremes.
报告人简介:唐兴栋,理学博士,南京信息工程大学讲师,主要从事非线性泛函分析和非线性色散方程的研究,已在国际著名期刊Calc. Var. Partial Differential Equations, J. Differential Equations , Lett. Math. Phys等发表论文多篇。