科研动态

数学与统计及交叉学科前沿论坛------高端学术讲座第69场

讲座题目A monotone property of the ground state energy to the scalar field equation and applications

主讲人 姬超

讲座时间113日周四下午1400-1500

讲座地点:腾讯会议832-210-491


主讲人简介

  姬超,华东理工大学副教授,博士生导师。2009年于兰州大学获得博士学位,师从范先令教授。他的研究方向是非线性偏微分方程,变分和拓扑方法,在包括 Sci. China Math., IJM, IMRN, CVPDE, JLMS, JDEJGADCDS-A等国际知名刊物上发表SCI论文50篇。现主持国家自然科学基金面上项目和上海市自然科学基金各一项,现为《Math. Methods Appl. Sci.》,《Discrete Contin. Dyn. Syst. S》和《Bound. Value Probl.》等多个国际刊物编委。

主讲内容

    In this talk, we will introduce a new monotone result to the ground state energy to the scalar field equation.  As applications, we use this monotone property to show the existence and concentration behavior of positive ground state solutions and least energy sign-changing solutions for the singularly perturbed elliptic equation with the variable exponent. This is a joint work with professor Zhi-Qiang Wang and Dr. Yuanze Wu.