基本情况： 贺小明，湖南溆浦人，瑶族，理学博士，教授，研究生导师，中央民族大学应用数学研究所所长。
主要经历：1999年毕业于湖南大学应用数学系，获硕士学位，导师黄立宏教授。2002年毕业于北京理工大学，获博士学位,导师葛渭高教授。2002-2004年在中科院应用数学研究所做博士后，导师曹道民研究员。2004年秋季进入中央民族大学数学与计算机学院工作至今。在此期间，2006-2008年在清华大学数学系做在职博士后,导师邹文明教授。

研究领域： 1，非线性泛函分析及应用 2，微分方程理论及应用。

教学工作：讲授过本科生的泛函分析、实变函数、数学分析、复变函数、数学物理方程、常微分方程、数学文化等课程；研究生的拓扑学、二阶椭圆型方程、非线性泛函分析等课程。出版教材两部。
1，贺小明，赵志红，张学梅，数学物理方程，中央民族大学出版社，2011年。
2，贺小明，彭名书，常微分方程与动力系统概论，北京理工大学出版社，2010年。
科研工作： 发表科研论文50余篇，专著1部，其中ESI高被引论文2篇。
[1]He, Xiaoming; Zou, Wenming,Ground state solutions for a class of fractional Kirchhoff equations with critical growth, Science China Mathematics,62(2019),853–890. (SCI)

[2]J. M. do O,Xiaoming He ,P. K. Mishra,Fractional Kirchhoff problem with critical indefinite nonlinearity, Mathematische Nachrichten,292(2019),615-632. (SCI)

[3]He, Xiaoming; Zou, Wenming, Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation,Manuscript Math, 158(2019),159–203. (SCI)
[4]Fengqin Lan,Xiaoming He,The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions,Nonlinear Anal. 180 (2019), 236-263. (SCI)
[5]Xiaotian Han, Xiaoyan Ma & Xiaoming He,Existence of sign-changing solutions for a class of p-Laplacian Kirchhoff-type equations,Complex Variables and Elliptic Equations,64(2019),181-203. (SCI)
[6] He, Xiaoming; Zou, Wenming, Multiplicity of concentrating positive solutions for Schr?dinger-Poisson equations with critical growth. Nonlinear Anal. 170 (2018), 142–170. (SCI)

[7] Guo, Qing; He, Xiaoming, Semiclassical states for weakly coupled fractional Schr?dinger systems. J. Differential Equations 263 (2017), no. 4, 1986–2023. (SCI)

[8] Guo, Qing; He, Xiaoming, Semiclassical states for fractional Schr?dinger equations with critical growth. Nonlinear Anal. 151 (2017), 164–186. (SCI)
[9] Jiao, Hai Tao; Ma, Xiao Yan; Guo, Qing; He, Xiao Ming, Existence of least energy sign-changing solutions for a Schr?dinger-Poisson equation with potential vanishing at infinity. (Chinese) Acta Math. Appl. Sin. 39 (2016), no. 6, 897–916. (核心期刊)
[10] He, Xiaoming; Zou, Wenming, Existence and concentration result for the fractional Schr?dinger equations with critical nonlinearities. Calc. Var. Partial Differential Equations 55 (2016), no. 4, Art. 91, 39 pp. (SCI)
[11] He, Xiaoming; Squassina, Marco; Zou, Wenming, The Nehari manifold for fractional systems involving critical nonlinearities. Commun. Pure Appl. Anal. 15 (2016), no. 4, 1285–1308. (SCI)
[12] Ba, Zhen; He, Xiaoming, Solutions for a class of Schr?dinger-Poisson system in bounded domains. J. Appl. Math. Comput. 51 (2016), no. 1-2, 287–297. (EI)
[13] Ma, Xiaoyan; He, Xiaoming, Nontrivial solutions for Kirchhoff equations with periodic potentials. Electron. J. Differential Equations 2016, Paper No. 102, 22 pp. (SCI)
[14] Guo, Qing; He, Xiaoming, Least energy solutions for a weakly coupled fractional Schr?dinger system. Nonlinear Anal. 132 (2016), 141–159. (SCI)
[15] He, Xiaoming, Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system. Acta Appl. Math. 130 (2014), 237–250. (SCI)
[16] He, Xiaoming; Zou, Wenming, Ground states for nonlinear Kirchhoff equations with critical growth. Ann. Mat. Pura Appl. (4) 193 (2014), no. 2, 473–500. (SCI)
[17] He, Xiaoming; Qian, Aixia; Zou, Wenming, Existence and concentration of positive solutions for quasilinear Schr?dinger equations with critical growth. Nonlinearity 26 (2013), no. 12, 3137–3168. (SCI)
[18] He, Xiaoming; Zou, Wenming, Existence and concentration of ground states for Schr?dinger-Poisson equations with critical growth. J. Math. Phys. 53 (2012), no. 2, 023702, 19 pp. (SCI)
[19] Liu, Wei; He, Xiaoming, Multiplicity of high energy solutions for superlinear Kirchhoff equations. J. Appl. Math. Comput. 39 (2012), no. 1-2, 473–487. (EI)
[20] He, Xiaoming; Zou, Wenming, Existence and concentration behavior of positive solutions for a Kirchhoff equation in R^3. J. Differential Equations 252 (2012), no. 2, 1813–1834. (SCI)
[21] He, Xiaoming, Multiplicity and concentration of positive solutions for the Schr?dinger-Poisson equations. Z. Angew. Math. Phys. 62 (2011), no. 5, 869–889. (SCI)
[22]贺小明，一类具临界指数增长的Schrodinger-Poisson系统正解的多重性，中国科学 数学，7(2011)，577-600. (核心期刊)

[23] He, Xiaoming; Zou, Wenming, Infinitely many solutions for a singular elliptic equation involving critical Sobolev-Hardy exponents in R^N. Acta Math. Sci. Ser. B (Engl. Ed.) 30 (2010), no. 3, 830–840. (SCI)
[24] He, Xiao-ming; Zou, Wen-ming, Multiplicity of solutions for a class of Kirchhoff type problems. Acta Math. Appl. Sin. Engl. Ser. 26 (2010), no. 3, 387–394. (SCI)
[25] He, Xiaoming, Multiple radial solutions for a class of quasilinear elliptic problems. Appl. Math. Lett. 23 (2010), no. 1, 110–114. (SCI)
[26] He, Xiaoming; Zou, Wenming, Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions. Nonlinear Anal. 71 (2009), no. 10, 4646–4656. (SCI)

[27]He, Xiaoming; Zou, Wenming, Multiplicity of solutions for a class of elliptic boundary value problems. Nonlinear Anal. 71 (2009), no. 7-8, 2606–2613. (SCI)
[28]Wang, Yuqing; He, Xiaoming, A note on a nonlinear functional differential system with feedback control. Electron. J. Qual. Theory Differ. Equ. 2009, No. 13, 9 pp. (SCI)
[29] He, Xiaoming; Zou, Wenming, Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev-Hardy exponents. Proc. Edinb. Math. Soc. (2) 52 (2009), no. 1, 97–108. (SCI)
[30] He, Xiaoming; Zou, Wenming, Infinitely many positive solutions for Kirchhoff-type problems. Nonlinear Anal. 70 (2009), no. 3, 1407–1414. (SCI)
[31] He, Xiaoming; Zou, Wenming, Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. Comput. Math. Appl. 56 (2008), no. 4, 1025–1031. (SCI)
[32] He, Xiaoming; Zou, Wenming, Multiplicity of solutions for quasilinear Brezis-Nirenberg type problems involving singular weights. Int. J. Pure Appl. Math. 44 (2008), no. 4, 493–507.
[33] He, Xiaoming; Zou, Wenming, Nontrivial solutions for some singular critical growth semilinear elliptic equations. Nonlinear Anal. 68 (2008), no. 12, 3719–3732. (SCI)
[34] He, Xiaoming; Zou, Wenming, Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations. Appl. Math. Comput. 197 (2008), no. 2, 858–863. (SCI)
[35] Cao, Daomin; He, Xiaoming; Peng, Shuangjie, Positive solutions for some singular critical growth nonlinear elliptic equations. Nonlinear Anal. 60 (2005), no. 3, 589–609. (SCI)
[36] He, Zhimin; He, Xiaoming, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions. Comput. Math. Appl. 48 (2004), no. 1-2, 73–84. (SCI)
[37] He, Xiaoming, Double positive solutions of a three-point boundary value problem for the one-dimensional p-Laplacian. Appl. Math. Lett. 17 (2004), no. 8, 867–873. (SCI)
[38] He, Zhimin; He, Xiaoming, Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. J. Math. Anal. Appl. 296 (2004), no. 1, 8–20. (SCI)
[39] He, Xiaoming; Ge, Weigao, Twin positive solutions for the one-dimensional p-Laplacian boundary value problems. Nonlinear Anal. 56 (2004), no. 7, 975–984. (SCI)
[40] He, Xiao Ming; Ge, Wei Gao, A theorem about triple positive solutions for the one-dimensional p-Laplacian equations. (Chinese) Acta Math. Appl. Sin. 26 (2003), no. 3, 504–510. (核心期刊)
[41] He, Xiao Ming; Ge, Wei Gao, Existence of positive solutions for the one-dimensional p-Laplacian equations. (Chinese) Acta Math. Sinica (Chin. Ser.) 46 (2003), no. 4, 805–810. (核心期刊)
[42] He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (n,p) boundary value problems. Port. Math. (N.S.) 60 (2003), no. 3, 253–262. (SCI)
[43] He, Xiaoming; Ge, Weigao, Existence of three solutions for a quasilinear two-point boundary value problem. Comput. Math. Appl. 45 (2003), no. 4-5, 765–769. (SCI)
[44] He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (k,n-k) boundary value problems. Indian J. Pure Appl. Math. 33 (2002), no. 9, 1361–1371. (SCI)
[45] He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (p,n-p) right focal boundary value problems. Appl. Anal. 81 (2002), no. 2, 227–240. (SCI)
[46] He, Xiaoming; Ge, Weigao, Positive solutions and nonlinear eigenvalue problem of one-dimensional p-Laplacian FDE. Appl. Anal. 81 (2002), no. 1, 115–128. (SCI)
[47] He, Xiao-ming; Ge, Wei-gao, Existence of multiple positive solutions for higher-order p-Laplacian boundary value problems. J. Beijing Inst. Tech. (Engl. Ed.) 11 (2002), no. 2, 212–216. (EI)
[48] He, Xiaoming; Ge, Weigao; Peng, Mingshu, Multiple positive solutions for one-dimensional p-Laplacian boundary value problems. Appl. Math. Lett. 15 (2002), no. 8, 937–943. (SCI)

[49] He, Xiaoming; Ge, Weigao; He, Zhimin, First-order impulsive functional differential equations with periodic boundary value conditions. Indian J. Pure Appl. Math. 33 (2002), no. 8, 1257–1273. (SCI)
[50] Xiaoming, H.; Weigao, G., A remark on some three-point boundary value problems for the one-dimensional p-Laplacian. ZAMM Z. Angew. Math. Mech. 82 (2002), no. 10, 728–731. (SCI)
[51] He, Xiaoming; Ge, Weigao, Triple solutions for second-order three-point boundary value problems. J. Math. Anal. Appl. 268 (2002), no. 1, 256–265. (SCI)
[52]贺小明，Applications of Variational Methods,中央民族大学出版社，2010年。


论文引用情况:据美国“数学评论”数据库记录(MathSciNet)
(https://www.ams.org)：已发表论文被600多位作者SCI引用1000多篇次，平均每篇引用20多篇次。



主持和参加的科研项目：
1,国家自然科学基金面上项目（**）：几类分数阶非局部椭圆型方程的变分问题研究，48万，2018-2021。主持。
2,国家自然科学基金面上项目（**）：变分与拓扑方法对若干重要椭圆方程的应用研究，60万，2013-2016。主持。
3,国家自然科学基金面上项目（**）：临界点理论及其应用方面的一些新问题研究，26万，2010-2012。主持。
4,国家自然科学基金面上项目（**）：不可微泛函与Orlicz闵可夫斯基问题，2020-2023。48万，参加。
5,国家自然科学基金面上项目（**）：与Bose-Einstein凝聚方程相关的非线性椭圆系统的研究，2014-2017。60万，参加。
6,国家自然科学基金面上项目（**）：非线性负指数椭圆型方程，2012-2015。24万，参加。
7，2006年第39批中国博士后科学基金，编号：, 主持。
8，2002年第32批中国博士后科学基金，主持。
9，2006年中央民族大学“青年教师”科研基金资助项目，拟线性型及离散型Hamilton系统变分问题研究，编号：CUN 0219,主持。
10，2009年中央民族大学自主科研项目，脉冲微分方程理论在少数民族地区生态系统中的应用研究，编号：0910KYZ51, 主持。
获奖情况和人才计划：
1, 获北京理工大学优秀博士学位论文奖(2002年)。
2, 获中国科学院王宽诚博士后工作奖励基金(2002年)。
3， 获2012年中央民族大学优秀教学成果二等奖 （独立完成，2012年）。
4,入选中央民族大学“高层次优秀人才”支持计划(2016-2019年)。
学术交流：
1，2009.2-2010.1:公派访学美国犹他州立大学数学与统计系（Utah State University），访问。
2, 2018.10-2018.11,德国曼汉姆大学 数学系(University of Mannheim),访问。
3，2019.7-2019.8,德国弗莱堡大学 数学系(Albert-Ludwigs-Universit?t Freiburg),访问。

社会服务：
1,国内外30多种数学期刊，含JDE;Calc. Var. PDE; JMAA; Nonlinear Anal.(RWA);ZAMP;Nodea; Nonlinearity; J. Math. Phys.; Appl. Math. Lett.; CMA.; CPAA; DCDS；EJDE；ANA；ANS；AA；CVEE等期刊在内的审稿人。
2，霍英东基金青年教师奖、国家自然科学基金等项目通讯评审专家。

办公地点：中央民族大学理工楼817-2
电子邮件：xmhe923@muc.edu.cn
电话：（转821）