徐露
徐露, 湖南大学数学学院教授, 博士生导师
研究方向:椭圆偏微分方程,几何分析
通讯地址:湖南省长沙市岳麓区湖南大学数学学院
邮政编码:410082
电子邮箱:xulu@hnu.edu.cn
研究兴趣 (Research Interests):
l Convexity for Nonlinear Partial Differential Equations;
l Non-linear partial differential equations which from some geometric problems such as Monge-Ampere equations
学术任职 (Academic Service)
国家自然科学基金项目评议专家
教育部学位论文评审专家
代表性论著 (Selected Publications)
l Pengfei Guan, Lu Xu, Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations, Journal fur die reine und angewandte Mathematik reine angew. 680 (2013), 41-67.
l Baojun Bian, Pengfei Guan, Xinan Ma, Lu Xu, A constant rank theorem for quasiconcave so lutions of fully nonlinear partial differential equations, Indiana Univ. Math. J. 60 No. 1 (2011), 101-120.
l Lu Xu, A microscopic convexity theorem of level sets for solutions to elliptic equations, Calc. Var. Partial Differential Equations 40 (2011), no. 1-2, 51-63.
l Pan Liu, Xi-Nan Ma and Lu Xu, A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain, Adv. Math. 225 (2010), no.3, 1616-1633.
l Lu Xu, Semi-linear Liouville theorems in the Heisenberg group via vector field methods, J. Differential Equations 247 (2009), no. 10, 2799-2820.
l Xi-Nan, Ma and Lu Xu, The convexity of solution of a class Hessian equation in bounded convex domain in R^3, J. Funct. Anal. 255 (2008), no. 7, 1713-1723.
科研项目(Research Grants):国家自然科学基金、湖南省杰出青年基金
讲授课程 (Teaching Courses):
l 研究生专业系列课程《偏微分方程》《完全非线性椭圆偏微分方程》
l 数学系本科生专业核心课程《高等代数》、《微分几何》
l 几何分析与退化椭圆型方程专题研讨班(2015 年4 月6 日- 4 月24 日 厦门大学,北大数学中心联合举办)受邀主讲人,课程题目:解和水平集的凸性