教育經歷
09/2002-07/2006,
安徽大學數學系,理學學士
工作經歷
研究方向
幾何分析
科研成果
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.
科研項目
學術服務
美國數學會《Math Review》評論員
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