理学院数理讲坛（2017年第42讲）
报告题目：On Hessian-Sobolev equations and Wolff-type equations
报 告 人：雷雨田 教授
单 位： 南京师范大学数学科学学院
报告时间：2017年10月16日（星期一）10:00 -11:00
报告地点：龙赛理科楼116
报告摘要：In this talk, we introduce the negative classical solutions and stable solutions of the k-Hessian equation with radial structure. This equation is related to the extremal functions of the Hessian Sobolev inequality on the whole space. Several critical exponents including the Serrin type, the Sobolev type, and the Joseph-Lundgren type, play key roles in studying existence and decay rates. In addition, we present applications of the doubling lemma to nonlinear equations, including a k-Hessian equation and an integral equation of Wolff-type.
报告人简介：
雷雨田，南京师范大学教授，博士生导师。研究领导域：非线性偏微分方程、变分法、积分方程等。在包括J. Funct. Anal.，Calc. Var. Partial differential Equations，J. Differential Equations, Siam J. Math. Anal.，Math Z.等国际期刊上发表SCI论文80余篇。