个人简介
工作经历
2016.12-至今 南开大学数学学院 副教授
2014.10-2016.12 南开大学数学学院 讲师
教育经历
2004.09-2008.07 吉林大学数学学院 本科
2008.09-2013.01 清华大学数学系 博士
2011.09-2014.07 德国比勒菲尔德大学数学系 博士
科研项目
1.国家自然科学基金青年科学基金项目（主持），21.16万元，No.11501303，2016.01-2018.12。
2.教育部留学人员回国启动基金项目（主持），3万元，2015.01-2017.12。
3.教育部高校基本科研业务费（主持），12万元，2016.01.-2017.12。
4.南开大学百名青年学科带头人培养计划（主持），50万元， 2014.12-2020.12。
5.国家自然科学基金国际(地区)合作与交流项目：函数空间实变理论及其应用（参与），主持人：北京师范大学杨大春教 授，180万元，No.11761131002，2018.01.01-2020.12.31。
6.国家自然科学基金面上项目：分形集上的热核及某些微分不等式（参与），主持人：清华大学胡家信教授，54万元， No.11871296，2019.01-2022.12。
7.天津市青年科学基金（主持），6万元，2019.04-2022.03。
荣誉奖励
入选2017年度“131”天津创新型人才第三层次人选
近期论文
查看导师最新文章
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1.Fractional differential inequalities on manifolds, in preparation.(with Q. Gu, X. Huang)
2.A priori estimates and Liouville type results for quasilinear elliptic equations involving gradient terms, submitted, arXiv:2205.07484. (with R. Filippucci, Y. Zheng)
3.Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs, submitted, arXiv: 2205.06047. (with L. Hao)
4.Nonexistence for parabolic differential inequalities with convection terms in exterior domains, submitted. (with M. Jleli, B. Samet)
5.On existence and nonexistence of nonnegative solutions to heat equation on Riemannian manifolds, to appear in Geometric Potential Analysis - AAG 6, De Gruyter. (with F. Xu)
6.Seminlinear differential inequalities on weighted graph, submitted, arXiv:2201.06397. (with Q. Gu, X. Huang)
7.Fractional $(p,\opm)$-Laplace's Equations and Inequalities, submitted.(with L. Liu, J. Xiao)
8.A sharp Liouville principle for $\Delta_mu+u^p|\nabla u|^q\le 0$ on geodesically complete noncompact Riemannian manifolds, accepted by Mathematische Annalen, Doi: 10.1007/s00208-021-02311-6. (with J. Xiao, F. Xu)
9.ed. A. Grigor'yan, Y. Sun, Analysis and partial differential equations on manifolds, fractals and graphs, de Gruyter series Advances in Analysis and Geometry 3, 2021. https://www.degruyter.com/view/title/578846?language=en
10.On nonexistence results of porous medium type equations and differential inequalities on Riemannian manifolds, Advances in Analysis and Geometry 3, de Gruyter.(with F. Xu)
11.Global positive solution to a semi-linear parabolic equation with potential on Riemannian manifold, to appear in Calc. Var. PDEs 59,Article number:170(2020). (with Q. Gu, J. Xiao, F. Xu)
12.Superlinear elliptic inequalities on manifolds, J. Func. Anal. 278(2020), no. 9, 108444.(with A. Grigor’yan, I. Verbitsky)
13.On positive solutions of semilinear elliptic inequalities on Riemannian manifolds, Calc. Var. PDEs. 58(2019),no. 6, Art.207, 30pp.(with A. Grigor’yan)
14.Liouville type theorems forsystems of elliptic differential inequalities on Riemannian manifolds, J. Math. Anal. Appl. Vol. 466(2018), No.1, 426-446.(with F. Xu, L. Wang)
15.Absence of positive solutions to the system of differential inequalities on manifolds, J. Math. Phys. 59(2018), 011510.
16.Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of R^n, Pacific J. Math, Vol. 293 (2018), No. 1, 245–256.
17.Absence of nonnegative solutions to the system of differential inequalities on manifolds, J. Math. Anal. Appl.,450(2017), no. 2, 901–914.
18.The absence of global positive solutions to semilinear parabolic differential inequalities in exterior domain, Proc. Amer. Math. Soc. 145 (2017), no. 8, 3455–3464.
19.Uniqueness result on nonnegative solutions of a large class of differential inequalities on Riemannian manifolds. Pacific J. Math. 280 (2016), no. 1, 241–254.
20.On the uniqueness of nonnegative solutions of differential inequalities with gradient terms on Riemannian manifolds. Comm. Pure Appl. Anal. 14 (2015), no. 5, 1743–1757.
21.On nonexistence of positive solutions of quasi-linear inequality on Riemannian manifolds. Proc. Amer. Math. Soc. 143 (2015), no. 7, 2969–2984.
22.Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds. J. Math. Anal. Appl. 419 (2014), no. 1, 643–661.
23.On non-negative solutions of the inequality ∆u+u^σ≤0 on Riemannian manifolds, Comm. Pure Appl. Math., Vol.67(2014), Issue. 8, 1336-1352.(with A.Grigor'yan)
24.Inhomogeneous parabolic equations on unbounded metric measure spaces, Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 5, 1003–1025.(with K.J.Falconer, J. Hu)
25.Heat flow method for Lichnerowicz type equations on closed manifolds, Z. Angew. Math. Phys. 63 (2012), no. 2, 261–270.(with L. Ma, X. Tang)
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