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个人简介

王博, 博士生导师, 北京师范大学与美国罗格斯大学联合培养博士. 主要从事以几何为背景的完全非线性椭圆与抛物型偏微分方程的研究, 在期刊 Amer. J. Math., J. Funct. Anal., Calc. Var. PDE, J. Diff. Equations 上发表论文 10 余篇, 主持国家自然科学基金 2 项, 北京市自然科学基金 1 项. 教育背景 2011年9月至2016年6月在北京师范大学数学科学学院学习, 获博士学位, 导师为保继光教授 2014年9月至2016年3月在美国罗格斯大学数学系学习, 为联合培养博士, 导师为李岩岩教授 2007年9月至2011年6月在北京理工大学理学院数学系学习, 获学士学位 工作经历 2016年7月至今在北京理工大学数学与统计学院任教(预聘助理教授/博士生导师)

研究领域

偏微分方程及其应用

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

(with YanYan Li and Luc Nguyen) On the $\sigma_{k}$-Nirenberg problem. American Journal of Mathematics, to be appeared. A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group. Communications in Contemporary Mathematics, https://doi.org/10.1142/S0219199721500607. (with Limei Dai and Wei Fan) Positive radially symmetric entire solutions of p-k-Hessian equations and systems. Mathematics, 10 (2022), no. 18, 3258. (with YanYan Li and Luc Nguyen) The axisymmetric $sigma_{k}$-Nirenberg problem. Journal of Functional Analysis, 281 (2021), no. 9, 109198. (with Jiguang Bao and Ziwei Zhou) A Liouville theorem of parabolic Monge-Ampere equations in half-space. Discrete and Continuous Dynamical Systems, 41 (2021), no. 4, 1561--1578. (with YanYan Li and Luc Nguyen) Towards a Liouville theorem for continuous viscosity solutions to fully nonlinear elliptic equations in conformal geometry. Geometric Analysis, In Honor of Gang Tian's 60th Birthday, Progress in Mathematics series by Birkhauser, 2020, 221--244. (with YanYan Li) Comparison principles for some fully nonlinear sub-elliptic equations on the Heisenberg group. Analysis in Theory and Applications, 35 (2019), no. 3, 312--334. (with Teng Liu and Chenglang Yang) Online Markov Chain-based energy management for a hybrid tracked vehicle with speedy Q-learning. Energy, 160 (2018), 544--555. (with YanYan Li) Strong comparison principles for some nonlinear degenerate elliptic equations. Acta Mathematica Scientia, 38 (2018), no. 5, 1583--1590. (with YanYan Li and Luc Nguyen) Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations. Calculus of Variations and Partial Differential Equations, 57 (2018), no. 4, Paper No. 96, 29 pp. (with Jiguang Bao and Wei Zhang) An extension of Jorgens-Calabi-Pogorelov theorem to parabolic Monge-Ampere equation. Calculus of Variations and Partial Differential Equations, 57 (2018), no. 3, Paper No. 90, 36 pp. Removable singularities for degenerate elliptic Pucci operator on the Heisenberg group. Nonlinear Analysis-Theory, Methods & Applications, 160 (2017), 177--190. (with Jiguang Bao) Over-determined problems for k-Hessian equations in ring-shaped domains. Nonlinear Analysis-Theory, Methods & Applications, 127 (2015), 143--156. (with Jiguang Bao) Asymptotic behavior on a kind of parabolic Monge-Ampere equation. Journal of Differential Equations, 259 (2015), no. 1, 344--370. (with Jiguang Bao and Haigang Li) Determination of the insulated inclusion in conductivity problem and related Eshelby conjecture. Journal of Differential Equations, 257 (2014), no. 12, 4503--4524. (with Jiguang Bao) Mirror symmetry for a Hessian over-determined problem and its generalization. Communications on Pure and Applied Analysis, 13 (2014), no. 6, 2305--2316.

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