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朱晓宝
副教授，理学博士，硕士生导师
主要研究方向：几何分析
办公室：信息楼329 82500689&zhuxiaobao@ruc.edu.cn
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教育经历
09/2002-07/2006，安徽大学数学系，理学学士
09/2006-07/2011，中国科学院数学与系统科学研究院，理学博士 -
工作经历
09/2011至今，中国人民大学
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科研成果
Publications:
Yang, Yunyan; Zhu, Xiaobao; Mean field equations on a closed Riemannian surface with the action of an isometric group. Internat. J. Math. 31 (2020), no. 9, 2050072, 26 pp.
Zhu, Xiaobao Remarks on singular Trudinger-Moser type inequalities. Commun. Pure Appl. Anal. 19 (2020), no. 1, 103-112.
Yang, Yunyan; Zhu, Xiaobao A Trudinger-Moser inequality for a conical metric in the unit ball. Arch. Math. (Basel) 112 (2019), no. 5, 531-545.
Zhu, Xiaobao A generalized Trudinger-Moser inequality on a compact Riemannian surface with conical singularities. Sci. China Math. 62 (2019), no. 4, 699-718.
Yang, Yunyan; Zhu, Xiaobao Prescribing Gaussian curvature on closed Riemann surface with conical singularity in the negative case. Ann. Acad. Sci. Fenn. Math. 44 (2019), no. 1, 167-181.
Li, Jia Yu; Yang, Yun Yan; Zhu, Xiao Bao Moser-Trudinger inequalities and existence of their extremal functions. (Chinese) J. Anhui Univ. Nat. Sci. 42 (2018), no. 5, 1-9.
Yang, Yunyan; Zhu, Xiaobao Existence of solutions to a class of Kazdan-Warner equations on compact Riemannian surface. Sci. China Math. 61 (2018), no. 6, 1109-1128.
Zhu, Xiaobao A generalized Trudinger-Moser inequality on a compact Riemannian surface. Nonlinear Anal. 169 (2018), 38-58.
Yang, Yunyan; Zhu, Xiaobao A remark on a result of Ding-Jost-Li-Wang. Proc. Amer. Math. Soc. 145 (2017), no. 9, 3953-3959.
Zhu, Xiaobao A weak Trudinger-Moser inequality with a singular weight on a compact Riemannian surface. Commun. Math. Stat. 5 (2017), no. 1, 37-57.
Yang, Yunyan; Zhu, Xiaobao Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two. J. Funct. Anal. 272 (2017), no. 8, 3347-3374.
Zhu, Xiaobao Gradient estimates and Liouville theorems for linear and nonlinear parabolic equations on Riemannian manifolds. Acta Math. Sci. Ser. B (Engl. Ed.) 36 (2016), no. 2, 514-526.
Yang, Yunyan; Zhu, Xiaobao An improved Hardy-Trudinger-Moser inequality. Ann. Global Anal. Geom. 49 (2016), no. 1, 23-41.
Yuan, Anfeng; Zhu, Xiaobao An improved singular Trudinger-Moser inequality in unit ball. J. Math. Anal. Appl. 435 (2016), no. 1, 244-252.
Zhu, Xiaobao A singular Trudinger-Moser inequality in hyperbolic space. J. Partial Differ. Equ. 28 (2015), no. 1, 39-46.
Yang, Yunyan; Zhu, Xiaobao Trudinger-Moser embedding on the hyperbolic space. Abstr. Appl. Anal. 2014, Art. ID 908216, 4 pp.
Yang, Yunyan; Zhu, Xiaobao A new proof of subcritical Trudinger-Moser inequalities on the whole Euclidean space. J. Partial Differ. Equ. 26 (2013), no. 4, 300-304.
Zhu, Xiaobao Hamilton's gradient estimates and Liouville theorems for porous medium equations on noncompact Riemannian manifolds. J. Math. Anal. Appl. 402 (2013), no. 1, 201-206.
Zhu, Xiaobao Local Aronson-Bénilan estimates for porous medium equations under Ricci flow. J. Partial Differ. Equ. 24 (2011), no. 4, 324–333.
Zhu, Xiao Bao Solutions for Toda system on Riemann surface with boundary. Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 8, 1501-1520.
Zhu, Xiaobao Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds. Nonlinear Anal. 74 (2011), no. 15, 5141-5146.
Zhu, Xiaobao Hamilton's gradient estimates and Liouville theorems for fast diffusion equations on noncompact Riemannian manifolds. Proc. Amer. Math. Soc. 139 (2011), no. 5, 1637-1644.
Preprints:
Zhu, Xiaobao A singular Moser-Trudinger inequality for mean value zero functions in dimension two, arXiv:2008.11551.
Zhu, Xiaobao Mean field equations for the equilibrium turbulence and Toda systems on connected finite graphs, submitted.
科研项目：
01/2015-12/2017，带锥性奇点的黎曼曲面上的几何与分析，国家自然科学基金青年科学基金项目。 -
学术服务
美国数学会《Math Review》评论员
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荣誉获奖
2018年，中国人民大学先进工作者。