北京师范大学数学科学学院

您所在的位置：首页» 教职工» 研究生导师» 博士生导师» 唐仲伟

唐仲伟 Tang Zhongwei

基本介绍

姓名：唐仲伟
职称：教授
所在部门（教研室）：偏微分方程
研究方向：偏微分方程,非线性分析
办公室：后主楼1201
办公室电话：010-58807691
电子邮件：tangzw@bnu.edu.cn

个人简介

唐仲伟，男，1976年7月生。博士生导师。2004年7月从中国科学院数学与系统科学院获得博士毕业，并随后在北京师范大学数学科学学院工作。其中2007年9月30-2009年10月1日:作为洪堡学者在德国吉森大学访问两年。在本科生教学方面：主要承担数学科学学院《数学分析》的教学工作。在研究生教学方面，承担《偏微分方程》及《临界点理论及应用》的教学工作；在科研方面主要从事非线性分析及在偏微分方程中的应用的研究工作。

学习经历

1994.9-1998.7 西北师范大学数学系本科；

1998.9-2001.7 西北师范大学数学系硕士；

2001.9-2004.7 中国科学院数学与系统科学研究院博士。

工作经历

自2004年7月起，在北京师范大学数学科学学院工作。

2004年7月-2010年9月，任北京师范大学数学科学学院讲师。

2010年9月-2016年9月，任北京师范大学数学科学学院副教授。

2016年9月-至今，任北京师范大学数学科学学院教授。

论文发表

[1]. Tang, Zhongwei; Wang, Heming; Zhou, Ning， Existence and density results of conformal metrics with prescribed higher order Q-curvature on Sn，Differential Geom. Appl. 96 (2024), Paper No. 102172.

[2]. Tang, Zhongwei; Zhang, Bingwei; Zhang, Yichen， Existence of a minimizer for the Bianchi-Egnell inequality on the Heisenberg group，J. Geom. Anal. 34 (2024), no. 5, Paper No. 148, 26 pp.

[3]. Li, Yan; Tang, Zhongwei; Wang, Heming; Zhou, Ning， Unified results for existence and compactness in the prescribed fractional Q-curvature problem，NoDEA Nonlinear Differential Equations Appl. 31 (2024), no. 3, Paper No. 38, 28 pp.

[4]. Luo, Xiao; Tang, Zhongwei; Wang, Lushun， Infinitely many solutions for nonlinear fourth-order Schrödinger equations with mixed dispersion，Appl. Anal. 103 (2024), no. 5, 898–926.

[5]. Li, Benniao; Long, Wei; Tang, Zhongwei， Lazer-McKenna conjecture for fractional problems involving critical growth， J. Differential Equations 388 (2024), 112–150.

[6]. Tang, Zhongwei; Zhou, Ning， On the prescribed fractional Q-curvatures problem on Sn under pinching conditions，Differential Geom. Appl. 93 (2024), Paper No. 102103.

[7]. Luo, Peng; Tang, Zhongwei; Xie, Huafei，Qualitative analysis to an eigenvalue problem of the Hénon equation，J. Funct. Anal. 286 (2024), no. 2, Paper No. 110206, 26 pp.

[8]. Tang, Zhongwei; Wang, Heming; Zhou, Ning,On a Nirenberg-type problem involving the half Laplacian: density and multiplicity of solutions, Ann. Mat. Pura Appl. (4) 202 (2023), no. 5, 2145–2194.

[9]. Bao, Jiguang; Qiang, Jiechen; Tang, Zhongwei; Wang, Cong, Interior estimates of derivatives and a Liouville type theorem for parabolic k-Hessian equations, Commun. Pure Appl. Anal. 22 (2023), no. 8, 2466–2480.

[10]. Niu, Miaomiao; Tang, Zhongwei; Zhou, Ning Compactness of Solutions to Higher-Order Elliptic Equations, Int. Math. Res. Not. IMRN (2023), no. 10, 8703-8754.

[11]. Tang, Zhongwei; Wang, Lushun; Xie, Huafei Multiple mixed interior and boundary peaks syn- chronized solutions for nonlinear coupled elliptic systems,J. Math. Phys. 64 (2023), no. 5, Paper No. 051508, 29 pp.

[12]. He, Qihan; Lv, Zongyan; Tang, Zhongwei The existence of normalized solutions to the Kirchhoff equation with potential and Sobolev critical nonlinearities,J. Geom. Anal. 33 (2023), no. 7, Paper No. 236, 30 pp.

[13]. Li, Yan; Tang, Zhongwei; Zhou, Ning On a fractional Nirenberg problem involving the square root of the Laplacian on S3,J. Geom. Anal. 33 (2023), no. 7, Paper No. 227, 52 pp.

[14]. Ghimenti, Marco G.; Liu, Min; Tang, Zhongwei Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains,NoDEA Nonlinear Differential Equations Appl. 30 (2023), no. 2, Paper No. 28, 27 pp.

[15]. Li, Yan; Tang, Zhongwei; Zhou, Ning Compactness and existence results of the prescribing frac- tional Q-curvature problem on Sn,Calc. Var. Partial Differential Equations 62 (2023), no. 2, Paper No. 58, 43 pp.

[16]. Tang, Zhongwei; Zhang, Chengxiang; Zhang, Luyu; Zhou, Luyan Normalized multibump solu- tions to nonlinear Schrödinger equations with steep potential well,Nonlinearity 35 (2022), no. 8, 4624-4658.

[17]. Dong, Xiaojing; Tang, Zhongwei Nonrelativistic limit of ground state solutions for nonlinear Dirac-Klein-Gordon systems,Minimax Theory Appl. 7 (2022), no. 2, 253-276.

[18]. Li, Benniao; Long, Wei; Tang, Zhongwei; Yang, Jinge Uniqueness of positive bound states with multiple bumps for Schrödinger-Poisson system, Calc. Var. Partial Differential Equations 60 (2021), no. 6, Paper No. 240, 28 pp.

[19]. Chen, Yongpeng; Tang, Zhongwei Multiplicity and concentration results for a class of singularly perturbed critical quasilinear Schrödinger equation,Topol. Methods Nonlinear Anal. 57 (2021), no. 1, 135-171.

[20]. Tang, Zhongwei; Xiong, Jingang; Zhou, Ning Sharp Sobolev inequalities involving boundary terms revisited,Calc. Var. Partial Differential Equations 60 (2021), no. 5, Paper No. 160, 26 pp.

[21]. Tang, Zhongwei; Xie, Huafei Multi-scale spike solutions for nonlinear coupled elliptic systems with critical frequency,NoDEA Nonlinear Differential Equations Appl. 28 (2021), no. 3, Paper No. 25, 31 pp.

[22]. Long, Wei; Tang, Zhongwei; Yang, Sudan Many synchronized vector solutions for a Bose- Einstein system,Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 6, 3293-3320.

[23]. 14.Liu, Min; Tang, Zhongwei; Wang, Chunhua Inﬁnitely many solutions for a critical Grushin-type problem via local Pohozaev identities,Ann. Mat. Pura Appl. (4) 199 (2020), no. 5, 1737-1762.

[24]. Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei Asymptotical behavior of ground state solutions for critical quasilinear Schrödinger equation,Front. Math. China 15 (2020), no. 1, 21-46.

[25]. Liu, Min; Tang, Zhongwei Pseudoindex theory and Nehari method for a fractional Choquard equation,Paciﬁc J. Math. 304 (2020), no. 1, 103-142.

[26]. Tang, Zhongwei; Xie, Huafei Multi-spikes solutions for a system of coupled elliptic equations with quadratic nonlinearity, Commun. Pure Appl. Anal. 19 (2020), no. 1, 311-328.

[27]. Chen, Yongpeng; Guo, Yuxia; Tang, Zhongwei Concentration of ground state solutions for quasi- linear Schrödinger systems with critical exponents, Commun. Pure Appl. Anal. 18 (2019), no. 5, 2693-2715.

[28]. Liu, Min; Tang, Zhongwei Multiplicity and concentration of solutions for Choquard equation via Nehari method and pseudo-index theory Discrete Contin. Dyn. Syst. 39 (2019), no. 6, 3365-3398.

[29]. Liu, Min; Tang, Zhongwei Multiplicity and concentration of solutions for a fractional Schrödinger equation via Nehari method and pseudo-index theory,J. Math. Phys. 60 (2019), no. 5, 053502, 25 pp.

[30]. Tang, Zhongwei; Wang, Lushun Optimal number of solutions for nonlinear coupled Schrödinger systems, part I: synchronized case, J. Differential Equations 266 (2019), no. 6, 3601-3653.

[31]. Niu, Miaomiao; Tang, Zhongwei; Wang, Lushun Solutions for conformally invariant fractional Laplacian equations with multi-bumps centered in lattices,J. Differential Equations 266 (2019), no. 4, 1756-1831.

[32]. Jiao, Yujuan; Tang, Zhongwei On the least energy solutions for semilinear Schrödinger equa- tion with electromagnetic ﬁelds involving critical growth and indeﬁnite potentials,Appl. Anal. 97 (2018), no. 12, 2157-2169.

[33]. Niu, Miaomiao; Tang, Zhongwei; Wang, Lushun Least energy solutions for indeﬁnite biharmonic problems via modiﬁed Nehari-Pankov manifold,Commun. Contemp. Math. 20 (2018), no. 4, 1750047, 35 pp.

[34]. Tang, Zhongwei; Wang, Lushun Segregated vector solutions with multi-scale spikes for nonlinear coupled elliptic systems,J. Math. Anal. Appl. 464 (2018), no. 1, 1-31.

[35]. Lucia, Marcello; Tang, Zhongwei Multi-bump bound states for a Schrödinger system via Lyapunov- Schmidt reduction,NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 6, Paper No. 65,22 pp.

[36]. Liao, Liming; Ji, Guanghua; Tang, Zhongwei; Zhang, Hui Spike-layer simulation for steady-state coupled Schrödinger equations,East Asian J. Appl. Math. 7 (2017), no. 3, 566-582.

[37]. Guo, Yuxia; Nie, Jianjun; Niu, Miaomiao; Tang, Zhongwei Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in RN,Calc. Var. Partial Differential Equations 56 (2017), no. 4, Paper No. 118, 41 pp.

[38]. Tang, Zhongwei; Wang, Lushun Solutions for the problems involving fractional Laplacian and indeﬁnite potentials, Adv. Nonlinear Stud. 17 (2017), no. 3, 551-579.

[39]. Niu, Miaomiao; Tang, Zhongwei Least energy solutions for nonlinear Schrödinger equation in- volving the fractional Laplacian and critical growth,Discrete Contin. Dyn. Syst. 37 (2017), no. 7, 3963-3987.

[40]. Niu, MiaoMiao; Tang, Zhongwei Least energy solutions of nonlinear Schrödinger equations in- volving the fractional Laplacian and potential wells,Sci. China Math. 60 (2017), no. 2, 261-276.

[41]. Tang, Zhongwei; Wang, Lushun Number of synchronized and segregated interior spike solutions for nonlinear coupled elliptic systems, J. Math. Anal. Appl. 448 (2017), no. 2, 1079-1119.

[42]. Niu, Miaomiao; Tang, Zhongwei Least energy solutions for nonlinear Schrödinger equations in- volving the half Laplacian and critical growth, J. Fixed Point Theory Appl. 18 (2016), no. 2, 367-395.

[43]. Niu, Miaomiao; Tang, Zhongwei Least energy solutions of nonlinear Schrödinger equations in- volving the half Laplacian and potential wells, Commun. Pure Appl. Anal. 15 (2016), no. 4, 1215-1231.

[44]. Tang, Zhongwei; Wang, Yanli Least energy solutions for semilinear Schrödinger equation with electromagnetic ﬁelds and critical growth, Sci. China Math. 58 (2015), no. 11, 2317-2328.

[45]. Guo, Yuxia; Tang, Zhongwei Sign changing bump solutions for Schrödinger equations involving critical growth and indeﬁnite potential wells, J. Differential Equations 259 (2015), no. 11, 6038- 6071.

[46]. Tang, Zhongwei; Wang, Yanli Least energy solutions for semilinear Schrödinger systems with electromagnetic ﬁelds and critical growth, Appl. Anal. 94 (2015), no. 9, 1821-1837.

[47]. Guo, Yuxia; Tang, Zhongwei Multi-bump solutions for Schrödinger equation involving critical growth and potential wells. Discrete Contin. Dyn. Syst. 35 (2015), no. 8, 3393-3415.

[48]. Guo, Yuxia; Tang, Zhongwei ; Multi-bump bound state solutions for the quasilinear Schrödinger equation with critical frequency.Paciﬁc J. Math. 270 (2014), no. 1, 49-77.

[49]. Tang, Zhongwei Segregated Peak Solutions of Coupled Schrödinger Systems with Neumann Boundary Conditions, Discrete Contin. Dyn. Syst. 34 (2014), 5299-5323.

[50]. Tang, Zhongwei Multi-peak solutions to coupled Schrödinger systems with Neumann boundary conditions. J. Math. Anal. Appl. 409 (2014), no. 2, 684-704.

[51]. Tang, Zhongwei Least energy solutions for semilinear Schrödinger equations involving critical growth and indeﬁnite potentials. Commun. Pure Appl. Anal. 13 (2014), no. 1, 237-248.

[52]. Fu, Shengmao; Jiao, Yujuan; Tang, Zhongwei Multi-bump bound states for a nonlinear Schrödinger system with electromagnetic ﬁelds. J. Math. Anal. Appl. 404 (2013), no. 2, 239-259.

[53]. Bartsch, Thomas; Tang, Zhongwei Multibump solutions of nonlinear Schrödinger equations with steep potential well and indeﬁnite potential. Discrete Contin. Dyn. Syst. 33 (2013), no. 1, 7-26.

[54]. Guo, Yuxia; Tang, Zhongwei Multibump bound states for quasilinear Schrödinger systems with critical frequency. J. Fixed Point Theory Appl. 12 (2012), no. 1-2, 135-174.

[55]. Guo, Yuxia; Tang, Zhongwei Ground state solutions for the quasilinear Schrödinger equation. Nonlinear Anal. 75 (2012), no. 6, 3235-3248.

[56]. Lucia, Marcello; Tang, Zhongwei Multi-bump bound states for a system of nonlinear Schrödinger equations. J. Differential Equations 252 (2012), no. 5, 3630-3657.

[57]. Guo, Yuxia; Tang, Zhongwei Ground state solutions for quasilinear Schrödinger systems. J. Math. Anal. Appl. 389 (2012), no. 1, 322-339.

[58]. Tang, Zhongwei Spike-layer solutions to singularly perturbed semilinear systems of coupled Schrödinger equations. J. Math. Anal. Appl. 377 (2011), no. 1, 336-352.

[59]. Tang, Zhongwei Multiplicity of standing wave solutions of nonlinear Schrödinger equations with electromagnetic ﬁelds. Z. Angew. Math. Phys. 59 (2008), no. 5, 810-833.

[60]. Tang, Zhongwei Multi-bump bound states of nonlinear Schrödinger equations with electromag- netic ﬁelds and critical frequency. J. Differential Equations 245 (2008), no. 10, 2723-2748.

[61]. Tang, Zhongwei Inﬁnitely many radial solutions to elliptic problems with critical Sobolev and Hardy terms. Sci. China Ser. A 51 (2008), no. 9, 1609-1618.

[62]. Tang, Zhongwei On the least energy solutions of nonlinear Schrödinger equations with electro- magnetic ﬁelds. Comput. Math. Appl. 54 (2007), no. 5, 627-637.

[63]. Tang, Zhongwei Existence and asymptotic behavior of the solutions for a nonlinear elliptic equa- tion arising in astrophysics. Acta Math. Sci. Ser. B Engl. Ed. 26 (2006), no. 2, 229-245.

[64]. Tang, Zhongwei Sign-changing solutions of critical growth nonlinear elliptic systems. Nonlinear Anal. 64 (2006), no. 11, 2480-2491.

[65]. Cao, Daomin; Tang, Zhongwei Existence and uniqueness of multi-bump bound states of nonlinear Schrödinger equations with electromagnetic ﬁelds. J. Differential Equations 222 (2006), no. 2, 381-424.

[66]. Tang, Zhongwei and Xiao, Li, 2004, Existence of explosive solutions for a class of quasilinear elliptic equations, Acta Mathematic Appliticae 27(2004), no. 2 274-280.(Chinese).

[67]. Cao, Daomin; Tang, Zhongwei Solutions with prescribed number of nodes to superlinear elliptic systems. Nonlinear Anal. 55 (2003), no. 6, 707-722.

[68]. Xiao, Li and Tang, Zhongwei, Existence of explosive solutions for a class of semilinear ellip- tic equations,Journal of Northwest Normal University (Science edition) Vol 37 (2001) no.4 5-12.(Chinese).

[69]. Xiao, Li and Tang, Zhongwei,Existence of explosive solutions for a class of linear elliptic prob- lems,Journal of Northwest Normal University (Science edition) Vol 37(2001) no. 3 1-5.(Chinese).

[70]. Tang, Zhongwei and Xiao, Li, Asymptotic behavior of for a class of reactive diffusion systems.Journal of Northwest Normal University (Science edition) Vol 37(2001) no. 1 5-12.(Chinese).

[71]. Tang, Zhongwei, Xiao, Li and Fu, Shenmao, Asymptotic behavior of a class of two species pe- riodic competition diffusion systems with depositing. Journal of Gansu Science Vol.12(2000), no.4, 5-10.(Chinese)

主要经历

访问经历
(1) Visited the department of Mathematics Giessen University as a Research Fellow of the Alexander von Humbodlt Foundation. Oct 1,2007-Sep 30,2009, Giessen, Germany.
(2) Visited the Department of Mathematics, Universitat Politecnica de Catalunya. Oct 14-Oct 21,2008, Barcellona, Spain.
(3) Visited the Department of Mathematics at Rutgers University, February 27-March 19,2010, NJ, USA.
(4) Visited the department of Mathematics at POSTECH, Jan 14-28, 2011, Pohang, Korea.
(5) Visited the department of Mathematics at Giessen University as a Research Fellow of the Alexander von Hombodlt Foundation. May 3-July 30,2011, Giessen, Germany.
(6) Visited the department of Mathematics at Vanderbilt University, Feb 10-August 1, 2013, Nashville, TN, USA.
(7) Visited the department of Mathematics at College of Staten Island, CUNY, April 28-May 11, 2013 and August 1-20,2013, New York City, USA.
(8) Visited the department of Mathematics at College of Staten Island, CUNY, April 28-May 11, 2013 and August 1-20,2013, New York City, USA.
(9) Visited the department of Mathematics at College of Staten Island, CUNY, August 1-12, 2018, New York City, USA.
学术活动
(1) The fifteenth Conference on Nonlinear Function Analysis of China, June 2007 Jinhua, China.
(2) Topology and Variational Methods in Partial Differential Equations, May 2009, Oberwolfach, Germany.
(3) East Asia Partial Differential Equations Conference, July 2010,Wuhan China.
(4) The sixteenth Conference on Nonlinear Functional Analysis of China, December 2010 Xiamen, China.
(5) International conference on Variational Methods and its applications, May 2012. Tianjin China
(6) Analysis, Complex Geometry, and Mathematical Physics: A Conference in Honor of Duong H. Phong, May, 2013. New York City, USA.
(7) Variational Method and its applications in nonlinear Partial Differential Equations, September 2013, Tianjin, China.
(8) International conference on PDE and Variational Methods, May 2014, Wuhan, China.
(9) The 13th Summer school and International conference on Nonlinear PDE, August 2015, Wuhan, China.
(10) The eighteenth Conference on Nonlinear Functional Analysis of China, May 2015 Wuhan China
(11) Variational Method and its applications in nonlinear Partial Differential Equations, June 2016, Tianjin, China.
(12) International Workshop on Nonlinear Analysis and Reaction-Diffusion Equaitons, Jiangsu University, June 2017, Zhenjiang, China.
(13) 非线性分析及其应用-青年学者论坛, 武汉理工大学，2017年11月，武汉。
(14) 变分法与非线性微分方程学术研讨会，福建师范大学，2018年3月，福州。
(15) 非线性分析与偏微分方程学术研讨会，江苏师范大学，2018年4月，徐州。
(16) The twentieth Conference on Nonlinear Functional Analysis of China, May,2018, Taiyuan, China。
(17) 2018年非线性分析及其应用-青年学者论坛，江苏大学， 2018年6月，镇江。
(18) 2018年偏微分方程及其应用-青年学者论坛，武汉理工大学， 2018年6月，武汉。
(19) Variational Problems arising form Physics and Geometry,On the occasion of the 60th birthday of Thomas Bartsch. Giessen, July,Germany.
(20) 非线性分析与偏微分方程学术研讨会，浙江师范大学，2018年11月，金华。
(21) 青年导师指导能力提升计划之非线性泛函分析学术会议，西北工业大学， 2018年11月，西安。
(22) 2019年湖南大学非线性偏微分方程与几何分析学术会议，湖南大学，2019年4月，长沙。
(23) 第四届“偏微分方程及其应用”学术会议，华中师范大学，2019年4月，武汉。
(24) “非线性分析及其应用”青年学者学术会议，华中师范大学，2019年5月，武汉。
(25) 第二届“非线性泛函分析及其应用”学术会议，大连理工大学，2019年6月，大连。
(26) International Workshop on Nonlinear Analysis and Reaction-Diffusion Equaitons, Harbin Normal University, June 2019, Harbin, China.
(27) 非线性分析及其应用学术会议，兰州理工大学，2019年6月，兰州。
(28) International Conference on Partial Differential Equations and Applications, In honor of 75th birthday of Prof.Hiam Brezis, July,2019, Beijing,China.
(29) International Workshop on Mathematical Theory of Fluid Mechanics, July,2019, Beijing, China
(30) Sharp Geometric inequalities and applications to geometry and PDES, August,2019, TSIMF, Sanya, China.
(31) 粤港澳大湾区国际应数数学中心产业行业应用场景技术交流研讨会，中山大学，2019年12月，广州
(32) 第六届“偏微分方程及其应用”学术论坛，华中师范大学，2021年9月，武汉
(33) 东北师范大学非线性偏微分方程研讨会，东北师范大学，2021年11月
(34) 第七届“偏微分方程及其应用”学术论坛，华中师范大学，2022年4月，
(35) 第八届“偏微分方程及其应用”线下学术论坛，华中师范大学，三峡大学，2023年3月，湖北宜昌，
(36) 非线性分析的理论和应用学术研讨会，福建师范大学，2023年3月，福州
(37) 2023年椭圆偏微分方程与变分法青年学者论坛，深圳大学，2023年4月，深圳
(38) 非线性分析国际会议暨第二十二届全国非线性泛函分析会议，中国数学会非线性泛函分析专业委员会，贵州民族大学，2023年5月，贵州
(39) 2023非线性分析与偏微分方程学术研讨会，南京理工大学，2023年9月，南京

研究兴趣

非线性分析；椭圆型偏微分方程；

教学工作

教学工作
2023-2024 第二学期
本科生：
数学分析II；
参考书：《数学分析》（第四版）1，2，3 郑学安，薛宗慈唐仲伟编著，北京师范大学出版社
研究生：
文献选读、微分方程方法课

过去讲授课程
本科生
2010-2011 第一学期大学数学 AIII；
2011-2012 第二学期大学数学 AII；
2012-2013 第一学期数学分析III；
2013-2014 第一学期数学分析I ；
2013-2014 第二学期数学分析II ；
2014-2015 第一学期数学分析III；
2015-2016第一学期数学分析I；
2015-2016 第二学期数学分析II；
2016-2017 第一学期数学分析III；
2017-2018 第一学期数学分析I；
2017-2018 第二学期数学分析II；
2018-2019 第一学期数学分析III；
2018-2019 第二学期《变分法初步及其应用》；
2019-2020 学年第一学期数学分析I；
2019-2020 学年第二学期数学分析II；
2020-2021 学年第一学期数学分析III；
2020-2021 学年第二学期变分法初步及其应用　
2021-2022 第一学期数学分析I；
2021-2022 第二学期数学分析II；
2022-2023 第一学期数学分析III；
2023-2024第一学期数学分析I；

研究生
2011-2012 第一学期变分法及其应用；
2015-2016 第一学期文献选读；2015-2016 第二学期文献选读
2022-2023 第一学期:《几何学高级研讨课》、《偏微分方程组》

社会任职

北京数学会理事；《数学实践与认识》编委

科研项目

主持的科研项目：
(1) ·关于非线性薛定谔方程的研究国家自然科学基金天元基金项目(10526008)，2006.01至2006.12。
(2) ·与薛定谔方程有关的非线性椭圆问题的变分方法国家自然科学基金青年基金项目(10801013)，2009.01至2011.12。
(3) ·与变分法有关的椭圆型方程与方程组问题国家自然科学基金面上基金项目(11171028)，2012.01至2015.12。
(4) 若干非线性变分问题的研究国家自然科学基金面上基金项目(11571040)，2016.01至2019.12。
(5) 非局部预定曲率问题和非局部椭圆问题的变分方法国家自然科学基金面上基金项目(12071036)，2021.01至2024.12。
(6) 分数阶Klein-Gordon问题和相关变分法的研究（12126306），国家自然科学基金数学天元基金项目 , 2022.01至2022.12。、
参加的科研项目:
(1) 几类非线性椭圆方程规范解的研究国家自然科学基金面上基金项目（12271223）龙薇主持，2023.0-2026.12;
(2) 非线性Schrodinger-Poisson方程组的高频驻波解及相关问题国家自然科学基金面上基金项目（11671331)，刘轼波主持 2017.1-2020.12。
(3) ·复合材料中的偏微分方程国家自然科学基金面上基金项目（11071020)，保继光主持 2011.1-2013.12。

代表性论著

编写教材：
《偏微分方程》，张辉，保继光，唐仲伟，北京师范大学出版社；
《数学分析》（第四版）1,2,3，郑学安，薛宗慈，唐仲伟主编，北京师范大学出版社；
《变分法初步》，保继光，朱汝金，唐仲伟，高等教育出版社

学生培养

博士研究生：
牛苗苗：2014.09-2017.07（联合培养）
汪路顺：2015.09-2018.07
陈永鹏：2017.09-2020.07
刘敏：2017.09-2020.07
谢华飞：2017.09-2020.07
周宁：2020.09-2023.7
李燕：2020.09-2023.7（联合培养）
王聪：2020.09-2023.7
张一尘：2021.09-至今
张晓静：2021.09-至今
吕宗彦：2021.09-至今
王和明：2022.09-至今
张炳蔚：2023. 09-至今，
硕士研究生:
王艳丽： 2011.09-2014.07，
曹雪莹：2015.09-2018.07
肖俐：2016.09-2019.07（联合培养）
周宁：2018.09-2020.7
翟浩宇：2019. 09-2022.7,
王和明：2019. 09-2022.7
陈碧霄：2020. 09-2023.7，
张炳蔚：2020. 09-2023.7
强劼琛：2021.09-至今
李婷：2022.09-至今
万超：2022.09-至今
苏友康：2022.09-至今
魏继文：2023.09-至今