个人简介
张志涛，男，1969/11/12出生，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。
1988年9月-1997年6月，山东大学数学系本科生、研究生，97年6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。1997年6月-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)。2021年4月兼任江苏大学数学科学学院院长。
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 Analysis，Annales de l'Institut Henri Poincare Analyse Non Lineaire，J. Differential Equations，Calculus of Variations and PDE, Transactions of the American Mathematical Society等国际著名学术刊物发表论文90多篇，SCI 80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，Monge-Ampere方程，高维波方程，Kirchhoff 型非局部问题等众多方面取得许多重要成果, 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 Li（ICM 45分钟报告人）、 Juncheng Wei（加拿大皇家科学院院士）等著名数学家大量引用，Mathematical Reviews(2022.2)显示被1000多名数学家引用1970多次（单篇最高353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Springer Nature-Partial Differential Equations and Applications 主编，以及 Boundary Value Problems (SCI，Springer)、 Journal of Nonlinear Functional Analysis等4个国际刊物编委，担任国家第二届数学名词审定委员会委员、组长，哈尔滨工业大学数学研究院第一届学术委员会委员，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）。担任国家一些“人才计划”的评审专家，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12名，博士后5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。
研究方向
学术论文
- Zhang Zhitao, Variational, topological, and partial order methods with their applications. Springer, Heidelberg, 2013.
- 李树杰，张志涛，拓扑与变分方法及应用，科学出版社，北京，2021.
- Dancer E. N.， Wang Kelei， Zhang Zhitao， The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture. J. Funct. Anal. 262 (2012), no. 3, 1087–1131.
- Wang Kelei, Zhang Zhitao, Some new results in competing systems with many species. Ann. Inst. H. Poincaré Anal. Non Linéaire 27 (2010), no. 2, 739–761.
- Gou Tianxiang， Zhang Zhitao， Normalized solutions to the Chern-Simons-Schrodinger system. J. Funct. Anal. 280 (2021), no. 5, Paper No. 108894, 65 pp.
- Li Kui, Zhang Zhitao, Proof of the Hénon-Lane-Emden conjecture in R^3. J. Differential Equations 266 (2019), no. 1, 202–226.
- Luo Haijun， Zhang Zhitao, Normalized solutions to the fractional Schrodinger equations with combined nonlinearities. Calc. Var. Partial Differential Equations 59 (2020), no. 4, Paper No. 143, 35 pp.
- Dancer E. N., Wang Kelei,Zhang Zhitao, Addendum to "The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture'' [J. Funct. Anal. 262 (3) (2012) 1087–1131] [MR2863857]. J. Funct. Anal. 264 (2013), no. 4, 1125–1129.
- Li Kui,Zhang Zhitao, A monotonicity theorem and its applications to weighted elliptic equations. Sci. China Math. 62 (2019), no. 10, 1925–1934.
- Liu Zhisu， Zhang Zhitao， Huang Shuibo， Existence and nonexistence of positive solutions for a static Schr？dinger-Poisson-Slater equation. J. Differential Equations 266 (2019), no. 9, 5912–5941.
- Lou Zhenluo, Weth Tobias, Zhang Zhitao, Symmetry breaking via Morse index for equations and systems of Hénon-Schr？dinger type. Z. Angew. Math. Phys. 70 (2019), no. 1, Paper No. 35, 19 pp.
- Sun Dongdong, Zhang Zhitao, Existence and asymptotic behaviour of ground state solutions for Kirchhoff-type equations with vanishing potentials. Z. Angew. Math. Phys. 70 (2019), no. 1, Paper No. 37, 18 pp.
- Guo Zongming, Mei Linfeng, Zhang Zhitao, Morse index and symmetry breaking for an elliptic equation with negative exponent in expanding annuli. Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), no. 6, 1215–1232.
- Li Kui, Zhang Zhitao, Foliated Schwarz symmetry for the nodal solution at the second minimax level. Ann. Mat. Pura Appl. (4) 197 (2018), no. 6, 1875–1883.
- Perera Kanishka, Yang Yang, Zhang Zhitao, Asymmetric critical p-Laplacian problems. Calc. Var. Partial Differential Equations 57 (2018), no. 5, Paper No. 131, 18 pp.
- Chen Jianyi, Zhang Zhitao, Existence of multiple periodic solutions to asymptotically linear wave equations in a ball. Calc. Var. Partial Differential Equations 56 (2017), no. 3, Paper No. 58, 25 pp.
- Li Kui, Zhang Zhitao, Existence of solutions for a Schr？dinger system with linear and nonlinear couplings. J. Math. Phys. 57 (2016), no. 8, 081504, 17 pp.
- Chen Jianyi, Zhang Zhitao, Existence of infinitely many periodic solutions for the radially symmetric wave equation with resonance. J. Differential Equations 260 (2016), no. 7, 6017–6037.
- Tian RuShun, Zhang ZhiTao, Existence and bifurcation of solutions for a double coupled system of Schr？dinger equations. Sci. China Math. 58 (2015), no. 8, 1607–1620.
- Chen Jianyi, Zhang Zhitao, Infinitely many periodic solutions for a semilinear wave equation in a ball in Rn. J. Differential Equations 256 (2014), no. 4, 1718–1734.
- Dancer E. N.,Wang Kelei, Zhang Zhitao, Dynamics of strongly competing systems with many species. Trans. Amer. Math. Soc. 364 (2012), no. 2, 961–1005.
- Dancer E. N., Wang Kelei, Zhang Zhitao, Uniform Holder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species. J. Differential Equations 251 (2011), no. 10, 2737–2769.
- Cheng XiYou, Zhang ZhiTao, Positive solutions for a multi-parameter system of second-order ordinary differential equations. Sci. China Math. 54 (2011), no. 5, 959–972.
- Zhang Zhitao,Wang Kelei, Existence and non-existence of solutions for a class of Monge-Ampère equations. J. Differential Equations 246 (2009), no. 7, 2849–2875.
- Bartsch Thomas, Peng Shuangjie, Zhang Zhitao, Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities. Calc. Var. Partial Differential Equations 30 (2007), no. 1, 113–136.
- Perera Kanishka, Zhang Zhitao, Nontrivial solutions of Kirchhoff-type problems via the Yang index. J. Differential Equations 221 (2006), no. 1, 246–255.
- Zhan, Zhitao, Calanchi Marta, Ruf Bernhard, Elliptic equations in R^2 with one-sided exponential growth. Commun. Contemp. Math. 6 (2004), no. 6, 947–971.
- Zhang Zhitao, Chen Jianqing,Li Shujie, Construction of pseudo-gradient vector field and sign-changing multiple solutions involving p-Laplacian. J. Differential Equations 201 (2004), no. 2, 287–303.
- Zhang Zhitao, Li Shujie, On sign-changing and multiple solutions of the p-Laplacian. J. Funct. Anal. 197 (2003), no. 2, 447–468.
- Dancer E. N., Zhang Zhitao, Dynamics of Lotka-Volterra competition systems with large interaction. J. Differential Equations 182 (2002), no. 2, 470–489.
我的团队
- 孙黎明
- 助研
我的相册
联系方式
北京市中关村东路55号 中国科学院数学学院系统科学研究院 南楼
010-82541523
zzt@math.ac.cn