2008.03--2013.07 南京理工大学 理学院 博士
2003.09--2005.07 南京理工大学 理学院 硕士
1999.09--2003.07 安徽师范大学 数学与统计学院 学士
2016年江苏省高校“青蓝工程”优秀青年骨干教师培养对象。
主持国家自然科学基金面上项目、天元专项项目、青年基金和江苏省自然科学基金项目。
(1)Hairong Liu, Xiaoping Yang, Asymptotic mean value formula for sub-p-harmonic functions on the Heisenberg group, Journal of Functional Analysis, 2013, 264(9) : 2177-2196.
(2)Hairong Liu, Xiaoping Yang, Strong unique continuation of sub-elliptic operator on the Heisenberg group, Chinese Annals of Mathematics, Series B, 2013, 34(3):461-478.
(3)Hairong Liu, Long Tian, Xiaoping Yang, The growth of H-harmonic functions on the Heisenberg group, Science China Mathematics, 2014, 57(4) : 795-806.
(4)Hairong Liu, The homogeneous polynomial solutions for the Grushin operator, Acta Mathematica Scientia, 2018, 38B(1): 237–247.
(5)Haiyun Deng, Hairong Liu, Long Tian, Critical points of solutions to a quasilinear elliptic equation with nonhomogeneous Dirichlet boundary conditions, J. Differential Equations, 2018, 265(9): 4133-4157.
(6)Hairong Liu, Long Tian, Xiaoping Yang, The polynomial growth solutions to some sub-elliptic equations on the Heisenberg group, Communications in Contemporary Mathematics,2019,21(1): 1750069.
(7)Hairong Liu, Tao Luo, Hua Zhong, Global solutions to compressible Navier-Stokes-Poisson and Euler-Poisson equations of plasma on exterior domains, J. Differential Equations, 2020, 269 :9936–10001.
(8)Hairong Liu, Hua Zhong, Global Solutions to the initial boundary problem of 3-D compressible Navier-Stokes-Poisson on bounded domains, Zeitschrift fur angewandte Mathematik und Physik, 2021, 72: 78.
(9)Ziwei Nie; Chen Li; Hairong Liu; Xiaoping Yang; Deformable Image Registration Based on Functions of Bounded Generalized Deformation, International Journal of Computer Vision, 129, 2021,1341–1358.
(10)Hairong Liu, Xiaoping Yang, Strong unique continuation property for a class of fourth order elliptic equations with strongly singular potentials, Science China Mathematics, 2022, 65, 707–730.
(1)刘海蓉,李旭,杨孝平,向妮,一种基于点距离函数形状约束的半自动医学图像分割方法,ZL 2017 10388382.3,授权。
(2)杨孝平,李旭,刘海蓉,基于区域灰度异质能量的图像分割方法,ZL 2019 10011046.6,授权。
(3)刘海蓉,谷亚楠,杨孝平,高益铭,一种基于多重卷积下确界振荡广义全变分的图像去雨方法,CN202010332386.1, 申请已受理。
(4) 杨孝平,聂梓伟,刘海蓉,李晨,一种新型非刚性图像配准方法, CN202010302960.9,申请已受理。