基本信息
张志涛  男  博导  中国科学院数学与系统科学研究院
电子邮件: zzt@math.ac.cn
通信地址: 北京中关村东路55号,中国科学院数学与系统科学研究院南楼
邮政编码: 100190

研究领域

非线性泛函分析、偏微分方程

招生信息

硕博连读

招生专业
070101-基础数学
招生方向
非线性泛函分析
椭圆偏微分方程(组)

教育背景

1988-09--1997-06   山东大学   博士学位
学历

研究生

学位

博士

工作经历

中国科学院数学与系统科学研究院 二级研究员、博士生导师, 华罗庚数学首席研究员,中国科学院特聘研究员(核心骨干),中国科学院大学岗位教授。国家杰出青年基金获得者、国家万人计划领军人才、科技部中青年科技创新领军人才、洪堡学者。

19889-19976月,山东大学数学系本科生、研究生,976月获得博士学位,1992年获“山东大学优秀毕业生”称号,保送读研究生,曾获山东大学优秀研究生奖、光华奖、阳光工程奖。19976-目前,中国科学院数学与系统科学研究院,历任博士后、助研、副研、研究员(2008.4)

长期从事非线性泛函分析理论和应用的前沿研究,出版Springer专著一部Variational, topological, and partial order methods with their applications》,2021.4合著《拓扑与变分方法及应用》由科学出版社出版。在 Journal of Functional AnalysisAnnales de l'Institut Henri Poincare Analyse Non LineaireJ. Differential EquationsCalculus of Variations and PDE, Transactions of the American Mathematical Society等国际著名学术刊物发表论文120多篇,SCI 100多篇。在前沿困难的自由边界问题,Bose-Einstein condensates方程组,生物竞争方程组周期解问题,拟线性椭圆问题,Schrödinger算子的Fučik谱,Monge-Ampere方程,高维波方程,Caffarelli-Kohn-Nirenberg inequalities 相关问题,Kirchhoff 型非局部问题等众多方面取得重要成果, 解决了困难的Terracini猜想和3维Henon-Lane-Emden猜想。这些科研成果产生了广泛的影响,被D.G. Figueiredo院士、Changshou Lin院士、E.N. Dancer院士、Yanyan LiICM 45分钟报告人)、 Juncheng WeiICM 45分钟报告人)等著名数学家大量引用,Mathematical Reviews(2024.5)显示被1500多篇论文引用2435次(单篇最高421次),有的已成为基本参考文献,在研究领域起到引领作用。多次应邀在重要国际会议上作大会报告。

多次应邀访问美国、法国、德国、意大利、澳大利亚等国的著名大学,如1999-2000在悉尼大学跟随著名数学家Dancer做博士后,2004-2006年在德国做洪堡学者。

担任国家第二届数学名词审定委员会委员、组长,Springer Nature-Partial Differential Equations and Applications 主编,以及 Boundary Value Problems (SCISpringer) Journal of Nonlinear Functional Analysis等6个国际刊物编委,曾担任钟家庆数学奖评委和中国数学会副秘书长(2012.1-2015.12),哈尔滨工业大学数学研究院学术委员会委员(2016-2021)。担任中组部“青年拔尖人才支持计划”等评审专家,国家基金委及北京市基金通讯评审专家,教育部博士论文评审专家,一些科技奖评审专家。作为国科大岗位教授讲授本科生主要课程“实分析、泛函分析”;已培养博士毕业生19名,博士后6名,有的已成为突出的青年数学人才获得中国数学会钟家庆数学奖、成为万人计划青年拔尖人才。

主持、参加多项国家自然科学(包括重点)基金项目,2011年度获中科院优秀研究生指导教师奖,中科院数学与系统科学研究院2011年度十大科研进展, 2013年获北京市科学技术奖,同年获得国家杰出青年基金,2014年入选科技部中青年科技创新领军人才,2016年入选国家“万人计划”领军人才,2017年入选“中国科学院特聘研究员”(核心骨干)和华罗庚数学首席研究员,2020年7月获得“中国科学院优秀党务工作者”称号。2022年主持国家重点研发计划项目,首席科学家。


社会兼职
2021-12-01-今,Discrete & Continuous Dynamical Systems - S, 编委
2021-08-01-今,Mathematics: Difference and Differential Equations section, 编委
2021-04-01-2023-12-31,江苏大学数学科学学院, 院长
2019-05-28-今,Partial Differential Equations and Applications, 主编
2016-06-27-2021-12-31,哈尔滨工业大学数学研究院学术委员会, 学术委员会委员
2015-10-31-今,Jounal of Nonlinear Functional Analysis, 编委
2012-05-30-2015-12-30,钟家庆数学奖评审委员会, 评委
2012-02-29-今,全国数学名词委员会委员, 组长
2011-12-26-2015-12-29,中国数学会, 副秘书长
2007-05-16-今,Boundary Value Problems, 编委

教授课程

变分方法与交叉科学
本科生毕业设计(数学与应用数学)
科学前沿进展名家系列讲座IV
泛函分析
非线性分析及对偏微分方程的应用
实分析

专利与奖励


奖励信息
(1) 极小极大理论及对非线性变分问题的应用, 三等奖, 省级, 2013
(2) 中科院优秀研究生指导教师奖, , 部委级, 2011

出版信息

   
发表论文
(1) MULTIPLE BUMP SOLUTIONS TO LOGARITHMIC SCALAR FIELD EQUATIONS, ADVANCES IN DIFFERENTIAL EQUATIONS, 2023, 通讯作者
(2) LOCAL BEHAVIOR, RADIAL SYMMETRY AND CLASSIFICATION OF SOLUTIONS TO WEIGHTED ELLIPTIC EQUATIONS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 通讯作者
(3) Integrability, regularity and symmetry of positive integrable solutions for Wolff type integral systems, JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 通讯作者
(4) Optimal Liouville-type theorems for polyharmonic elliptic gradient systems and applications, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 通讯作者
(5) EXISTENCE OF NONTRIVIAL SOLUTIONSTO SCHRODINGER SYSTEMS ¨WITH LINEAR AND NONLINEAR COUPLINGSVIA MORSE THEORY, Topology Methods in Nonlinear Analysis, 2023, 通讯作者
(6) Concentration phenomenon of semiclassical states to reaction-diffusion systems, ANNALI DI MATEMATICA PURA ED APPLICATA, 2023, 第 2 作者
(7) NORMALIZED SOLUTIONS FOR KIRCHHOFF TYPE EQUATIONS WITH COMBINED NONLINEARITIES: THE SOBOLEV CRITICAL CASE, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2023, 通讯作者
(8) Qualitative properties of singular solutions to fractional elliptic equations, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 通讯作者
(9) Stable standing waves of nonlinear fractional Schrodinger equations, Commun. Pure Appl. Anal., 2022, 第 3 作者
(10) Normalized solutions to Schrodinger systems with linear and nonlinear couplings, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 通讯作者
(11) Liouville-type theorems for generalized Hénon-Lane-Emden Schrödinger systems in R^2 and R^3, Topol. Methods Nonlinear Anal., 2022, 通讯作者
(12) Quasilinear Schrödinger equations with bounded coefficients, NONLINEARITY, 2022, 第 3 作者
(13) Dynamics of nonlinear hyperbolic equations of Kirchhoff type, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2022, 通讯作者
(14) Normalized solutions to p-Laplacian equations with combined nonlinearities, Nonlinearity, 2022, 通讯作者
(15) Normalized solutions of mass subcritical Schrödinger equations in exterior domains, NoDEA Nonlinear Differential Equations Appl., 2022, 通讯作者
(16) Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrödinger equations., Electron. Res. Arch., 2022, 通讯作者
(17) ASYMPTOTIC BEHAVIOR OF TIME PERIODIC SOLUTIONS FOR EXTENDED FISHER-KOLMOGOROV EQUATIONS WITH DELAYS, DISCRETEANDCONTINUOUSDYNAMICALSYSTEMSSERIESB, 2022, 第 3 作者
(18) The uniform spreading speed in cooperative systems with non-uniform initial data, 2021, 第 4 作者
(19) Gou Tianxiang, Zhang zhitao, Normalized solutions to the Chern-Simons-Schrodinger system,280,108894, J. Functional Analysis, 2021, 通讯作者
(20) Li Kui, Zhang Zhitao, Liouville-type theorem for higher-order Hardy-Henon system, doi: 10.3934/cpaa.2021134, Commun. Pure Appl. Anal., 2021, 通讯作者
(21) Li Zaizheng, Zhang Zhitao, Uniqueness and nondegeneracy of positive solutions to an elliptic system in ecology, doi:10.3934/era.2021060, Electronic research archive, 2021, 通讯作者
(22) Cheng Xiyou, Zhang Zhitao, Structure of positive solutions to a class of Schrödinger systems, 14(6),1857–1870., Discrete Contin. Dyn. Syst. Ser. S,, 2021, 通讯作者
(23) Chen Pengyu, Zhang Xuping, Zhang Zhitao, Axymptotic behavior of time periodic solutions for extended Fisher-Kolmogorov Equations with delays,doi:10.3934/dcdsb.2021103, Discrete Contin. Dyn. Syst. Ser. B, 2021, 第 1 作者
(24) Huang Shuibo, Zhang Zhitao, ZhisuLiu, Qualitative properties of singular solutions to fractional elliptic equations, DOI:10.1017/prm.2021.52, Proceedings of the Royal Society of Edinburgh, 2021, 通讯作者
(25) Chen Jianyi, Zhang Zhitao, Chang Guijuan, Zhao Jing,Periodic Solutions to Klein–Gordon Systems with Linear Couplings, Adv. Nonlinear Stud., 2021, 第 1 作者
(26) Normalized solutions to the Chern-Simons-Schrodinger system, JOURNAL OF FUNCTIONAL ANALYSIS, 2021, 通讯作者
(27) Zhang Xinqiu, Zhang Zhitao, Distribution of positive solutions to Schrödinger systems with linear and nonlinear couplings., J. Fixed Point Theory Appl., 2020, 通讯作者
(28) THE STRUCTURE OF POSITIVE SOLUTIONS FOR A SCHRODINGER SYSTEM, TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 通讯作者
(29) Dai Guowei, Sun Yimin, Wang Zhi-Qiang, Zhang Zhitao,The structure of positive solutions for a Schrödinger system, Topol. Methods Nonlinear Anal, 2020, 通讯作者
(30) MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 第 3 作者
(31) Distribution of positive solutions to Schrodinger systems with linear and nonlinear couplings, JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 第 2 作者
(32) Haijun Luo, Zhitao Zhang, Normalized solutions to the fractional Schrödinger equations with combined nonlinearities, Calc. Var. Partial Differential Equations, 2020, 通讯作者
(33) Sun Jingxian, Pan Xingbin, Du Yihong, Liu Zhaoli, Zhang Zhitao, Professor Dajun Guo: a true mathematician and educator, SN Partial Differential Equations and Applications, 2020, 通讯作者
(34) Luo Haijun, Zhang Zhitao,Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity, SN Partial Differential Equations and Applications, 2020, 第 1 作者
(35) Sun Dongdong, Zhang Zhitao, Existence of positive solutions to Kirchhoff equations with vanishing potentials and general nonlinearity, SN Partial Differential Equations and Applications, 2020, 第 1 作者
(36) Normalized solutions to the fractional Schrodinger equations with combined nonlinearities, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 通讯作者
(37) Existence and nonexistence of positive solutions for a static schrodinger-poisson-slater equation, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 通讯作者
(38) Dai, Guowei; Tian, Rushun; Zhang, Zhitao Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger systems., Discrete Contin. Dyn. Syst. Ser. S, 2019, 通讯作者
(39) Lou, Zhenluo; Weth, Tobias; Zhang, Zhitao Symmetry breaking via Morse index for equations and systems of Hénon-Schrödinger type., Z. Angew. Math. Phys., 2019, 通讯作者
(40) Existence and asymptotic behaviour of ground state solutions for kirchhoff-type equations with vanishing potentials, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 第 2 作者
(41) Zhisu Liu, Zhitao Zhang, Shuibo Huang, Existence and nonexistence of positive solutions for a static Schrodinger-Poisson-Slater Equation,, J. Differential Equations, https://doi.org/10.1016/j.jde.2018.10.048, 2019, 通讯作者
(42) Liu, Zhisu; Luo, Haijun; Zhang, Zhitao Dancer-Fučik spectrum for fractional Schrödinger operators with a steep potential well on RN., Nonlinear Anal., 2019, 通讯作者
(43) Proof of the henon-lane-emden conjecture in r-3, JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 通讯作者
(44) A monotonicity theorem and its applications to weighted elliptic equations, A monotonicity theorem and its applications to weighted elliptic equations, 中国科学:数学英文版, 2019, 通讯作者
(45) Kui Li , Zhitao Zhang, Proof of the Hénon–Lane–Emden conjecture in R3 , https://doi.org/10.1016/j.jde.2018.07.036, J. Differential Equations,, 2019, 通讯作者
(46) Sun, Dongdong; Zhang, Zhitao Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials., Z. Angew. Math. Phys., 2019, 第 1 作者
(47) Symmetry breaking via morse index for equations and systems of henon-schrodinger type, ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 第 3 作者
(48) Luo, Haijun; Zhang, Zhitao Existence and nonexistence of bound state solutions for Schrödinger systems with linear and nonlinear couplings., J. Math. Anal. Appl., 2019, 通讯作者
(49) Dancer-Fucik spectrum for fractional Schrodinger operators with a steep potential well on R-N, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 通讯作者
(50) A monotonicity theorem and its applications to weighted elliptic equations, SCIENCE CHINA-MATHEMATICS, 2019, 通讯作者
(51) Existence and nonexistence of bound state solutions for Schrodinger systems with linear and nonlinear couplings, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 通讯作者
(52) Kui Li, Zhitao Zhang,Foliated Schwarz symmetry for the nodal solution at second minimax level., Annali di Matematica Pura ed Applicata (4) 197 (2018), no. 6, 1875–1883,, 2018, 通讯作者
(53) Foliated Schwarz symmetry for the nodal solution at the second minimax level, ANNALI DI MATEMATICA PURA ED APPLICATA, 2018, 通讯作者
(54) Dongdong Sun, Zhitao Zhang,Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R^3, Vol. 461, No.1,128-149,(2018), J. Math. Appl. Anal., 2018, 第 1 作者
(55) Uniqueness, existence and concentration of positive ground state solutions for Kirchhoff type problems in R-3, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 第 2 作者
(56) GROUND AND BOUND STATE SOLUTIONS FOR A SCHRODINGER SYSTEM WITH LINEAR AND NONLINEAR COUPLINGS IN R-N, ADVANCES IN DIFFERENTIAL EQUATIONS, 2018, 第 4 作者
(57) K. Perera, Cyril Tintarev, Jun Wang, Zhitao Zhang, Ground and bound state solutions for a Schrödinger system with linear and nonlinear couplings in , 23 (2018), no. 7-8, 615–648., Advances in Differential Equations, 2018, 第 1 作者
(58) Zhitao Zhang, Haijun Luo, Symmetry and Asymptotic Behavior of Ground State Solutions for Schrodinger Systems with Linear Interaction,, Communications on Pure and Applied Analysis,17 (2018), no. 3, 787–806., 2018, 第 1 作者
(59) Asymmetric critical p-Laplacian problems, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 通讯作者
(60) Kanishka Perera, Yang Yang, Zhitao Zhang, Asymmetric critical p-Laplacian problems., CALC. VAR. PARTIAL DIFFERENTIAL EQUATIONS 57 (2018), NO. 5, ART. 131, 18 PP., 2018, 通讯作者
(61) SYMMETRY AND ASYMPTOTIC BEHAVIOR OF GROUND STATE SOLUTIONS FOR SCHRODINGER SYSTEMS WITH LINEAR INTERACTION, COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 通讯作者
(62) Zongming Guo, Linfeng Mei, Zhitao Zhang, Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli, Proceedings of the Royal Society of Edinburgh,147A,1215-1232, 2017, 第 1 作者
(63) Existence of multiple periodic solutions to asymptotically linear wave equations in a ball, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 通讯作者
(64) Jianyi Chen, Zhitao Zhang, Existence of multiple periodic solutions to asymptotically linear wave equations in a ball, Calc. Var. Partial Differential Equations,56(3), Art 58, 25 pages, 2017, 通讯作者
(65) Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2017, 第 3 作者
(66) Positive solutions for singular elliptic systems with convection term, JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 第 3 作者
(67) Structure of positive solutions to a Schrodinger system, JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 通讯作者
(68) Zhitao Zhang, Wei Wang, Structure of positive solutions to a Schrödinger system(2017), J. Fixed Point Theory Appl. 19,877-887., 2017, 第 1 作者
(69) Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type, ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 第 1 作者
(70) Kui Li, Zhitao Zhang, Existence of solutions for a Schrödinger system with linear and nonlinear couplings., J. Math. Phys.,57,081504, 2016, 通讯作者
(71) Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance, JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 通讯作者
(72) Existence of solutions for a Schrodinger system with linear and nonlinear couplings, JOURNAL OF MATHEMATICAL PHYSICS, 2016, 通讯作者
(73) A PERTURBATION RESULT FOR SYSTEM OF SCHRODINGER EQUATIONS OF BOSE-EINSTEIN CONDENSATES IN R-3, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 通讯作者
(74) Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type, ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2016, 第 1 作者
(75) ON A POWER-TYPE COUPLED SYSTEM OF MONGE-AMPERE EQUATIONS, TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 通讯作者
(76) existenceandbifurcationofsolutionsforadoublecoupledsystemofschrodingerequations, SCIENCE CHINA-MATHEMATICS, 2015, 通讯作者
(77) Existence of multiple solutions to a class of nonlinear Schrodinger system with external sources terms, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 通讯作者
(78) Infinitely many periodic solutions for a semilinear wave equation in a ball in R n, JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 通讯作者
(79) Addendum to The limit equation for the Gross-Pitaevskii equations and S. Terracini conjecture, 2013, 通讯作者
(80) The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture (vol 262, pg 1087, 2012), JOURNALOFFUNCTIONALANALYSIS, 2013, 通讯作者
(81) Positive solutions for a class of multi-parameter elliptic systems, NONLINEARANALYSISREALWORLDAPPLICATIONS, 2013, 第 2 作者
(82) Nonzero positive weak solutions of systems of p-Laplace equations, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 第 2 作者
(83) The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture, JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 通讯作者
(84) DYNAMICS OF STRONGLY COMPETING SYSTEMS WITH MANY SPECIES, TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 第 3 作者
(85) ON SOME NONLOCAL EIGENVALUE PROBLEMS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2012, 第 3 作者
(86) Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative matrices and applications, POSITIVITY, 2012, 第 2 作者
(87) Positive solutions for a multi-parameter system of second-order ordinary differential equations, Positive solutions for a multi-parameter system of second-order ordinary differential equations, 中国科学:数学英文版, 2011, 第 2 作者
(88) Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species, JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 第 3 作者
(89) Existence of positive solutions for a general nonlinear eigenvalue problem, ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 第 2 作者
(90) Positive solutions for a multi-parameter system of second-order ordinary differential equations, SCIENCE CHINA-MATHEMATICS, 2011, 第 2 作者
(91) Constant Sign and Sign Changing Solutions for Systems of Quasilinear Elliptic Equations, SET-VALUED AND VARIATIONAL ANALYSIS, 2011, 第 2 作者
(92) EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMILINEAR ELLIPTIC SYSTEM, TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2011, 通讯作者
(93) Some new results in competing systems with many species, ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2010, 通讯作者
(94) On fixed point theorems of mixed monotone operators and applications, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 通讯作者
(95) Periodic solutions of second order non-autonomous Hamiltonian systems with local superquadratic potential, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 第 3 作者
(96) Existence results for some nonlinear elliptic systems, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 第 2 作者
(97) On the Fucik point spectrum for Schrodinger operators on R-N, JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2009, 第 3 作者
(98) Existence and non-existence of solutions for a class of Monge-Ampere equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 通讯作者
(99) Existence and non-existence of solutions for a class of Monge–Ampère equations, JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 第 1 作者
(100) Positive almost periodic solutions of some neutral integral equation, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 第 2 作者
(101) EXISTENCE OF POSITIVE SOLUTIONS TO SYSTEMS OF NONLINEAR INTEGRAL OR DIFFERENTIAL EQUATIONS, TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2009, 第 2 作者
(102) Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets, BOUNDARY VALUE PROBLEMS, 2008, 通讯作者
(103) Existence and non-existence of solutions to elliptic equations related to the Caffarelli–Kohn–Nirenberg inequalities, CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 第 3 作者
(104) Nontrivial solutions of Kirchhoff-type problems via the Yang index, JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 
(105) 超线性奇异边值问题正解存在的充分必要条件, A Necessary and Sufficient Condtion for the Existence of Positive Solutions of Singular Superlinear Boundary Value Problems, 数学学报, 2005, 第 2 作者
(106) Elliptic equations in $\Bbb R^2$ with one-sided exponential growth, Commun. Contemp. Math., 2004, 第 1 作者
(107) Construction of pseudo-gradient vector field and sign-changing multiple solutions involving $p$p-Laplacian., J. Differential Equations, 2004, 第 1 作者
(108) On sign-changing and multiple solutions of the p -Laplacian, JOURNAL OF FUNCTIONAL ANALYSIS, 2003, 
(109) Sign-changing solutions and multiple solutions theorems for semilinear elliptic boundary value problems with a reaction term nonzero at zero, JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 
(110) Dynamics of Lotka-Volterra competition systems with large interaction, JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 
(111) 跳跃非线性条件下椭圆边值问题的变号解和多解存在性, 数学学报, 2001, 第 2 作者
(112) Fucik spectrum, sign-changing and multiple solutions for semilinear elliptic boundary value problems with jumping nonlinearities at zero and infinity, SCIENCE IN CHINA SERIES, 2001, 第 2 作者
(113) 一类半线性椭圆方程正解的唯一性, 数学学报, 2001, 第 1 作者
(114) 跳跃非常线性条件下椭圆边值问题的变号解和多解存在性, 数学学报, 2001, 第 2 作者
(115) existenceofnontrivialsolutionforsuperlinearsystemofintegralequationsanditsapplications, ACTAMATHEMATICAEAPPLICATAESINICA, 1999, 第 1 作者
(116) banach空间脉冲fredholm型积分方程的多解存在性, 高校应用数学学报A辑, 1999, 第 1 作者
(117) 混合单调算子的不动点定理及其应用, 数学学报, 1998, 第 1 作者
(118) Banach空间二阶非线性脉冲型微分方程两点边值问题的多解存在性, 数学物理学报:A辑, 1996, 第 1 作者
(119) 混合单调算子的正不动点存在唯一性定理及应用的推广, 山东大学学报:自然科学版, 1995, 第 1 作者
发表著作
(1) Zhitao Zhang, Variational,topological and partial order methods with their applications, Springer, 2013-01, 第 1 作者
(2) 李树杰 张志涛,拓扑与变分方法及应用, Topological and Variational Methods and Applications, 科学出版社, 2021-04, 第 2 作者

科研活动

   
科研项目
( 1 ) 变分方法与非线性微分方程前沿问题, 负责人, 国家任务, 2013-01--2016-12
( 2 ) 中科院数学院七大重点培育方向课题, 参与, 中国科学院计划, 2012-01--2015-12
( 3 ) 非线性泛函分析(国家杰出青年基金), 负责人, 国家任务, 2014-01--2017-12
( 4 ) 国家万人计划, 负责人, 国家任务, 2017-01--2019-12
( 5 ) 变分方法与非线性偏微分方程若干前沿问题研究, 负责人, 国家任务, 2018-01--2021-12
( 6 ) 拟线性椭圆方程的多解研究, 负责人, 国家任务, 2020-01--2020-12
( 7 ) 现代变分理论的若干前沿课题, 参与, 国家任务, 2021-01--2025-10
( 8 ) 拟线性Schrodinger方程和非局部Kirchhoff问题研究, 负责人, 国家任务, 2021-01--2021-12
( 9 ) 变分理论与杨-Mills规范场存在性和质量间隔假设, 负责人, 国家任务, 2022-12--2027-11
参与会议
(1)Henon-Lame-Emden conjecture and related Schodinger systems   第十二届全国算子代数会议   2023-08-13
(2)Existence of solutions for Schrodinger systems with linear and nonlinear couplings   第六届偏微分方程及其应用学术论坛   2021-09-25
(3)Existence of solutions for Schrodinger systems with linear and nonlinear couplings   2021-06-24
(4)Normalized solutions to the Chern-Simons-Schrodinger system   动力系统与非线性分析研讨会   2021-05-21
(5)Normalized solutions to the Chern-Simons-Schrodinger system and fractional Schrodinger equations   偏微分方程与几何分析会议   2021-05-17
(6)Normalized solutions to the Chern-Simons-Schrodinger system and fractional Schrodinger equations   变分与椭圆型偏微分方程学术研讨会   2021-05-14
(7)Normalized solutions to the fractional Schrodinger equations with combined nonlinearities   西北微分方程及应用学术会议   2020-09-26
(8)Henon-Lane-Emden conjecture and related Schrodinger systems   非线性泛函分析及其应用研讨会   2020-06-27
(9)Existence of solutions for Schrodinger systems with linear and nonlinear couplings   第五届偏微分方程及其应用学术论坛   2020-05-23
(10)Some new results on Henon-Lane-Emden conjecture and Schrodinger systems   中日青年数学家非线性偏微分方程研讨会(Japan)   2018-10-26
(11)Some new results on Henon-Lane-Emden conjecture and Schrodinger systems   偏微分方程与物理学、生物学交叉学科论坛   2018-09-21
(12)Some new results on Henon-Lane-Emden conjecture and Schrodinger systems    第十二届AIMS动力系统和微分方程及应用国际会议   2018-07-05
(13)Some new results on Henon-Lane-Emden conjecture and Schrodinger systems   非线性泛函分析及应用学术会议   2018-06-22
(14)Some new results on Henon-Lane-Emden conjecture and Schrodinger systems   变分方法和拓扑方法及应用国际会议,USA   2018-06-05
(15)Some new results on Schrodinger systems   偏微分方程学术研讨会   2018-04-21
(16)On the Henon-Lane-Emden conjecture in R^3   偏微分方程及其应用学术论坛   2017-11-18
(17)On solutions of Schrodinger systems arising from Bose-Einstein condensates   第九届全国算子理论与算子代数会议   2017-10-28
(18)Existence of solutions for Schrodinger systems with linear and nonlinear couplings   2017-06-12
(19)Existence of solutions for Schrodinger systems with linear and nonlinear couplings   偏微分方程和非线性国际学术会议   2017-04-21
(20)Existence and bifurcation of solutions for Schrodinger systems   Zhitao Zhang   2016-06-13
(21)Existence, uniqueness, and bifurcation of solutions for Schr\"{o}dinger systems   Zhitao Zhang   2016-05-29
(22)Existence and bifurcation of solutions for systems of Schrodinger equations   张志涛   2015-12-18
(23)Existence of solution for system of Schrodinger equations   Zhitao Zhang   2015-08-10
(24)Some new results on systems of nonlinear differential equations   Zhitao Zhang   2014-05-20
(25)Free boundary problems and BEC equations   Zhitao Zhang   2012-06-19
(26)Free boundary problems   边值问题、积分方程以及相关问题   Zhitao Zhang   2010-08-25
(27)Free boundary problems and competing systems with many species   泛函分析及其应用国际学术研讨会   Zhitao Zhang   2010-07-25

指导学生

已指导学生

王克磊  博士研究生  070101-基础数学  

张齐  硕士研究生  070101-基础数学  

孙宜民  博士研究生  070101-基础数学  

颜晓琳  博士研究生  070101-基础数学  

陈建毅  博士研究生  070101-基础数学  

齐泽心  博士研究生  070101-基础数学  

丁素丽  硕士研究生  070101-基础数学  

娄振洛  博士研究生  070101-基础数学  

李奎  博士研究生  070101-基础数学  

孙冬冬  博士研究生  070101-基础数学  

王威  博士研究生  070101-基础数学  

罗海军  博士研究生  070101-基础数学  

郑晓甜  博士研究生  070101-基础数学  

于萌  硕士研究生  070101-基础数学  

李再铮  博士研究生  070101-基础数学  

李京谕  硕士研究生  070101-基础数学  

张伟俊  博士研究生  070101-基础数学  

张泽鑫  博士研究生  070101-基础数学  

员兆阳  博士研究生  070101-基础数学  

于萌  博士研究生  070101-基础数学  

高静  博士研究生  070101-基础数学  

郝慧琴  博士研究生  070101-基础数学  

现指导学生

秦俭  博士研究生  070101-基础数学  

裴文梁  博士研究生  070101-基础数学  

孟维浩  硕士研究生  070101-基础数学  

邓崇昊  博士研究生  070101-基础数学