报告专家：赵雷嘎教授（北京工商大学）

报告题目：Normalized solutions for Schrödinger equations with potentials and general nonlinearities

报告时间：5月17日上午8：30-9：30

报告地址：数学院301教室

报告摘要：In this talk, we are concerned with the existence of normalized solutions for

Schrödinger equations with potentials and general nonlinearities which allows at least

mass critical growth. For the case of well potential, including singular potential, the

sufficient conditions are given for the existence of a ground state solution by developing

the minimization methods with constraints and a delicate analysis of estimates on the

least energy comparing with the limiting functional. While for the trapping

case, the existence of a ground state solution as well as a second solution of

mountain pass type is established.

个人简介：北京工商大学数学与统计学院教授，中国数学会和中国工业与应用数学会会员。主要研究非线性泛函分析、临界点理论及其在非线性偏微分方程中的应用等问题。在非线性薛定谔方程以及方程组、Schrödinger-Poisson方程组、哈密尔顿型椭圆方程组、无界区域的椭圆方程边值问题等方面取得了重要的研究成果。 在包括 J. Differential Equations，Calc.Var.Partial Differential Equations，Proc. Royal Soc. Edinburgh，Disc.Cont.Dyn.Syst.(A)，Commun.Contemp.Math.等重要学术期刊发表几十篇SCI学术论文，受到了国内外同行专家的关注。主持国家自然科学基金青年基金项目和面上项目共3项。