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，美国数学评论评论员，德国数学文摘评论员，中央民族大学应用数学研究所所长。北京市数学学会会员，教育部学位与研究生教育发展中心外聘专家。
主要经历： 1990年毕业于怀化学院数学系，班主任舒见贤教授。 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，曹道民教授。2004年秋季进入中央民族大学数学与计算机学院、理学院工作至今。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、非线性泛函分析等课程。
出版教材三部。
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。
3, 王兢， 贺小明，基础拓扑学讲义，中央民族大学出版社，2022年。
科研工作：近年来，在非局部椭圆型微分方程变分问题解的存在性，多解性，集中性以及规范化解的存在性等方面取得了若干研究成果，引发了许多后续的研究工作。已在国内外数学期刊，如
Manuscript. Math.， Calc. Var. PDE，J. Geometric Analysis， J. Differential Equations，Ann. Mat. Pura Appl.，Nonlinearity等上发表科研论文六十多篇，被SCI他引1800多次。 其中ESI高被引论文2篇。
[1]He, Xiaoming; Wang, Dabin, Multiple positive bound state solutions for fractional
Schrodinger-Poisson system with critical nonlocal term, J. Geom. Anal. (To appear, 2023).
[2]Meng Yuxi; He, Xiaoming; Feng, Zhaosheng, Normalized solutions of fractional Choquard equation with critical nonlinearity, Diff. Integ. Equt. (Accepted, 2023).
[3]Meng Yuxi; He, Xiaoming, Normalized solutions for the Schrodinger-Poisson system with doubly critical growth, Topological Methods in Nonlinear Analysis, (Accepted, 2023).
[4]Zhang, Xinrui; He, Xiaoming, Fractional Schrödinger–Poisson system with critical growth and potentials vanishing at infinity, Math. Nachr., 2023, DOI: 10.1002/mana.202100094.
[5]Lan, Jiali; He, Xiaoming; On a fractional Schrodinger-Poisson system with doubly critical growth and a steep potential well, J. Geom. Anal. Doi.org/10.1007/s12220-023-01238-5, 2023.
[6]He, Xiaoming; Zhao, Xin; Zou, Wenming; The Benci–Cerami problem for the fractional Choquard equation with critical exponent. Manuscripta Math. 170 (2023), no. 1-2, 193–242.
[7]Meng, Yuxi; He, Xiaoming; Multiplicity of concentrating solutions for Choquard equation with critical growth. J. Geom. Anal. 33 (2023), no. 3, Paper No. 78, 29 pp.
[8]Zhang, Xinrui; Meng, Yuxi; He, Xiaoming Analysis of a low linear perturbed Choquard equation with critical growth. J. Fixed Point Theory Appl. 25 (2023), no. 1, Paper No. 3, 13 pp.
[9] Qu, Siqi; He, Xiaoming, Multiplicity of high energy solutions for fractional Schrödinger-Poisson systems with critical frequency. Electron. J. Differ. Equ. 2022, Paper No. 47, 21 p. (2022).
[10] Dou, Xilin; He, Xiaoming, Ground states for critical fractional Schrödinger-Poisson systems with vanishing potentials. Math. Methods Appl. Sci. 45 (2022), no. 16, 9089–9110.
[11 He, Xiaoming; Rădulescu, Vicenţiu D.; Zou, Wenming, Normalized ground states for the critical fractional Choquard equation with a local perturbation. J. Geom. Anal. 32, No. 10, Paper No. 252, 51 p. (2022).
[12] Li, Na; He, Xiao-ming, Positive solutions for a class of fractional p-Laplacian equation with critical Sobolev exponent and decaying potentials. Acta Math. Appl. Sin., Engl. Ser. 38, No. 2, 463-483 (2022).
[13] Qu, Siqi; He, Xiaoming, On the number of concentrating solutions of a fractional Schrödinger-Poisson system with doubly critical growth. Anal. Math. Phys. 12, No. 2, Paper No. 59, 49 p. (2022).
[14] He, Xiaoming, Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents. Appl. Math. Lett. 120, Article ID 107190, 8 p. (2021).
[15] Meng, Yuxi; Zhang, Xingrui; He, Xiaoming, Least energy sign-changing solutions for a class of fractional Kirchhoff-Poisson system. J. Math. Phys. 62, No. 9, 091508, 21 p. (2021).
[16] Meng, Yuxi; Zhang, Xinrui; He, Xiaoming, Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials. Adv. Nonlinear Anal. 10, 1328-1355 (2021).
[17He, Xiaoming; Rădulescu, Vicenţiu D., Small linear perturbations of fractional Choquard equations with critical exponent. J. Differ. Equations 282, 481-540 (2021).
[18] He, Xiaoming; Zhao, Xin; Zou, Wenming, Maximum principles for a fully nonlinear nonlocal equation on unbounded domains. Commun. Pure Appl. Anal. 19, No. 9, 4387-4399 (2020).
[19] He, Xiaoming; Zou, Wenming, Bifurcation and multiplicity of positive solutions for nonhomogeneous fractional Schrödinger equations with critical growth. Sci. China, Math. 63, No. 8, 1571-1612 (2020).
[20] Li, Na; He, Xiaoming, Existence and multiplicity results for some Schrödinger-Poisson system with critical growth. J. Math. Anal. Appl. 488, No. 2, Article ID 124071, 35 p. (2020).
[21] He, Xiaoming; Zou, Wenming, Ground state solutions for a class of fractional Kirchhoff equations with critical growth. Sci. China, Math. 62, No. 5, 853-890 (2019).
[22] Do Ó., João Marcos; He, Xiaoming; Mishra, Pawan Kumar, Fractional Kirchhoff problem with critical indefinite nonlinearity. Math. Nachr. 292, No. 3, 615-632 (2019).
[23] Lan, Fengqin; He, Xiaoming, The Nehari manifold for a fractional critical Choquard equation involving sign-changing weight functions. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 236-263 (2019).
[24] Han, Xiaotian; Ma, Xiaoyan; He, Xiaoming, Existence of sign-changing solutions for a class of p-Laplacian Kirchhoff-type equations. Complex Var. Elliptic Equ. 64, No. 2, 181-203 (2019).
[25] He, Xiaoming; Zou, Wenming, Multiplicity of concentrating solutions for a class of fractional Kirchhoff equation. Manuscr. Math. 158, No. 1-2, 159-203 (2019).
[26] He, Xiaoming; Zou, Wenming, Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 142-170 (2018).
[27]Guo, Qing; He, Xiaoming, Semiclassical states for weakly coupled fractional Schrödinger systems. J. Differ. Equations 263, No. 4, 1986-2023 (2017).
[28] Guo, Qing; He, Xiaoming, Semiclassical states for fractional Schrödinger equations with critical growth. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 151, 164-186 (2017).
[29] Jiao, Haitao; Ma, Xiaoyan; Guo, Qing; He, Xiaoming, Existence of least energy sign-changing solutions for a class of Schrödinger-Poisson equation with potential vanishing at infinity. (Chinese. Acta Math. Appl. Sin. 39, No. 6, 897-916 (2016).
[30] He, Xiaoming; Zou, Wenming, Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities. Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 91, 39 p. (2016).
[31] He, Xiaoming; Squassina, Marco; Zou, Wenming, The Nehari manifold for fractional systems involving critical nonlinearities. Commun. Pure Appl. Anal. 15, No. 4, 1285-1308 (2016).
[32] Ma, Xiaoyan; He, Xiaoming, Nontrivial solutions for Kirchhoff equations with periodic potentials. Electron. J. Differ. Equ. 2016, Paper No. 102, 22 p. (2016).
[33] Ba, Zhen; He, Xiaoming, Solutions for a class of Schrödinger-Poisson system in bounded domains. J. Appl. Math. Comput. 51, No. 1-2, 287-297 (2016).
[34] Guo, Qing; He, Xiaoming, Least energy solutions for a weakly coupled fractional Schrödinger system. Nonlinear Anal., TMA, 132, 141-159 (2016).
[35] He, Xiaoming, Multiplicity of solutions for a nonlinear Klein-Gordon-Maxwell system.
Acta Appl. Math. 130, No. 1, 237-250 (2014).
[36] He, Xiaoming; Zou, Wenming, Ground states for nonlinear Kirchhoff equations with critical growth. Ann. Mat. Pura Appl. (4) 193, No. 2, 473-500 (2014).
[37] He, Xiaoming; Qian, Aixia; Zou, Wenming, Existence and concentration of positive solutions for quasilinear Schrödinger equations with critical growth. Nonlinearity 26, No. 12, 3137-3168 (2013).
[38] Liu, Wei; He, Xiaoming, Multiplicity of high energy solutions for superlinear Kirchhoff equations. J. Appl. Math. Comput. 39, No. 1-2, 473-487 (2012).
[39] He, Xiaoming; Zou, Wenming, Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth. J. Math. Phys. 53, No. 2, 023702, 19 p. (2012).
[40] He, Xiaoming; Zou, Wenming, Existence and concentration behavior of positive solutions for a Kirchhoff equation in R3. J. Differ. Equations 252, No. 2, 1813-1834 (2012).
[41] He, Xiaoming, Multiplicity of positive solutions for a class of Schrödinger-Poisson systems with critical growth. (Chinese. English summary) Sci. Sin., Math. 41, No. 7, 577-600 (2011).
[42 He, Xiaoming, Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations. Z. Angew. Math. Phys. 62, No. 5, 869-889 (2011).
[43] He, Xiaoming; Zou, Wenming, Infinitely many solutions for a singular elliptic equation involving critical Sobolev-Hardy exponents in RN. Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 3, 830-840 (2010).
[44] He, Xiao-Ming; Zou, Wen-Ming, Multiplicity of solutions for a class of Kirchhoff type problems. Acta Math. Appl. Sin., Engl. Ser. 26, No. 3, 387-394 (2010).
[45] He, Xiaoming, Multiple radial solutions for a class of quasilinear elliptic problems.
Appl. Math. Lett. 23, No. 1, 110-114 (2010).
[46] Wang, Yuqing; He, Xiaoming, A note on a nonlinear functional differential system with feedback control. Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 13, 9 p. (2009).
[47] He, Xiaoming; Zou, Wenming, Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 10, 4646-4656 (2009).
[48] He, Xiaoming; Zou, Wenming, Multiplicity of solutions for a class of elliptic boundary value problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2606-2613 (2009).
[49] He, Xiaoming; Zou, Wenming, Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev-Hardy exponents. Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 97-108 (2009).
[50] He, Xiaoming; Zou, Wenming, Infinitely many positive solutions for Kirchhoff-type problems.
Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 3, 1407-1414 (2009).
[51] He, Xiaoming; Zou, Wenming, Multiple solutions for the Brezis-Nirenberg problem with a Hardy potential and singular coefficients. Comput. Math. Appl. 56, No. 4, 1025-1031 (2008).
[52] He, Xiaoming; Zou, Wenming, Multiplicity of solutions for quasilinear Brezis-Nirenberg type problems involving singular weights. Int. J. Pure Appl. Math. 44, No. 4, 493-507 (2008).
[53] He, Xiaoming; Zou, Wenming, Nontrivial solutions for some singular critical growth semilinear elliptic equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 12, 3719-3732 (2008).
[54] He, Xiaoming; Zou, Wenming, Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations. Appl. Math. Comput. 197, No. 2, 858-863 (2008).
[55] Cao, Daomin; He, Xiaoming; Peng, Shuangjie, Positive solutions for some singular critical growth nonlinear elliptic equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 60, No. 3, 589-609 (2005).
[56] He, Zhimin; He, Xiaoming, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions. Comput. Math. Appl. 48, No. 1-2, 73-84 (2004).
[57] He, Xiaoming, Double positive solutions of a three-point boundary value problem for the one-dimensional p-Laplacian. Appl. Math. Lett. 17, No. 8, 867-873 (2004).
[58] He, Zhimin; He, Xiaoming, Periodic boundary value problems for first order impulsive integro-differential equations of mixed type. J. Math. Anal. Appl. 296, No. 1, 8-20 (2004).
[59] He, Xiaoming; Ge, Weigao, Twin positive solutions for the one-dimensional p-Laplacian boundary value problems. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 56, No. 7, 975-984 (2004).
[60] He, Xiaoming; Ge, Weigao, A theorem about triple positive solutions for the one-dimensional p-Laplacian equations. (Chinese. English summary) Acta Math. Appl. Sin. 26, No. 3, 504-510 (2003).
[61] He, Xiaoming; Ge, Weigao, Existence of positive solutions for the one-dimensional p-Laplacian equation. (Chinese. English summary) Acta Math. Sin. 46, No. 4, 805-810 (2003).
[62] He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (n,p) boundary value problems. Port. Math. (N.S.) 60, No. 3, 253-262 (2003).
[63] He, Xiaoming; Ge, Weigao, Existence of three solutions for a quasilinear two-point boundary value problem. Comput. Math. Appl. 45, No. 4-5, 765-769 (2003).
[64] He, Xiaoming; Ge, Weigao; Shan, Wenrui, Existence of periodic solutions for generalized Liénard-typed functional-differential equations. J. Beijing Inst. Technol., Engl. Ed. 11, No. 3, 325-328 (2002).
[65] He, Xiaoming; Ge, Weigao, Existence of multiple positive solutions for higher-order p-Laplacian boundary value problems. J. Beijing Inst. Technol., Engl. Ed. 11, No. 2, 212-216 (2002).
[66] He, Xiaoming; Ge, Weigao; Peng, Mingshu, Multiple positive solutions for one-dimensional p-Laplacian boundary value problems. Appl. Math. Lett. 15, No. 8, 937-943 (2002).
[67] He, Xiaoming; Cao, Daomin; Ge, Weigao, Positive solutions for semipositone (k,n−k) boundary value problems. Indian J. Pure Appl. Math. 33, No. 9, 1361-1371 (2002).
[68] He, Xiaoming; Ge, Weigao, First-order impulsive functional differential equations with periodic boundary value conditions. Indian J. Pure Appl. Math. 33, No. 8, 1257-1273 (2002).
[69] He, Xiaoming; Ge, Weigao, Positive solutions for semipositone (p,n−p) right focal boundary value problems. Appl. Anal. 81, No. 2, 227-240 (2002).
[70] He, Xiaoming; Ge, Weigao, Positive solutions and nonlinear eigenvalue problem of one-dimensional p-Laplacian FDE. Appl. Anal. 81, No. 1, 115-128 (2002).
[71]He, Xiaoming; Ge, Weigao, Triple solutions for second-order three-point boundary value problems. J. Math. Anal. Appl. 268, No. 1, 256-265 (2002).
主持和参加的科研项目：
1, 国家自然科学基金面上项目（12171497）：几类非局部椭圆问题解的相关问题研究， 2022.1--2025.12。主持。
2, 国家自然科学基金面上项目（11771468）：几类分数阶非局部椭圆型方程的变分问题研究，2018.1--2021.12。主持。
3, 国家自然科学基金面上项目（11271386）：变分与拓扑方法对若干重要椭圆方程的应用研究， 2013.1—2016.12。主持。
4, 国家自然科学基金面上项目（10971238）：临界点理论及其应用方面的一些新问题研究，2010.1—2012.12。主持。
5, 国家自然科学基金面上项目（11971027）：不可微泛函与Orlicz闵可夫斯基问题，2020-2023。参加。
6, 国家自然科学基金面上项目（11371212）：与Bose-Einstein凝聚方程相关的非线性椭圆系统的研究，2014-2017。 参加。
7, 国家自然科学基金面上项目（11171341）：非线性负指数椭圆型方程，2012-2015。 参加。
8, 2006年第39批中国博士后科学基金，编号：20060390075, 主持。
9, 2002年第32批中国博士后科学基金，主持。
10, 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。
11, 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），访问学者。
2, 2018.10-2018.11, 德国曼汉姆大学 数学系(University of Mannheim), 访问学者。
3，2019.7-2019.8, 德国弗莱堡大学 数学系(Albert-Ludwigs-Universität Freiburg), 访问学者。
社会服务：
1, 国内外30多种数学期刊，含JDE; Calc. Var. PDE; J. Geom. Anal.; JMAA; Nonlinear Anal.(RWA); ZAMP; Nodea; Nonlinearity; J. Math. Phys.; Appl. Math. Lett.; CMA.; CPAA; DCDS；EJDE；ANA；ANS；AA；CVEE; JEPE; Acta. Math. Sci., SciChinaMath等期刊在内的审稿人。
2，国家自然科学基金等项目通讯评审专家; 北京市自然科学基金项目；霍英东优秀青年教师奖等项目评审专家。
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：010-68932822（转821）
