研究领域

变分法、椭圆偏微分方程、复变量常微分方程

教育背景

2004-2008 学士  清华大学

2008-2013 博士  清华大学

工作经历

2013-2016 台湾大学博士后

2016-至今 清华大学丘成桐数学科学中心、数学系副教授

荣誉与奖励

2018年   清华大学学术新人奖

2018   2018 ICCM最佳论文奖 

发表论文

[1] Chen Zhijie, Kuo Ting-Jung and Lin Chang-Shou, The geometry of generalized Lame equation, III: One to one of the Riemann-Hilbert correspondence, 40 pp, Pure and Applied Mathematics Quarterly, accepted for publication
[2] Chen Zhijie, Fu Erjuan and Lin Chang-Shou, Spectrum of the Lame operator and application, I: Deformation along Re tau=1/2, Advances in Mathematics, 383 (2021), 107699.
[3] Chen Zhijie and Lin Chang-Shou, Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori, Journal of Differential Geometry, 118 (2021), 457-485.
[4] Chen Zhijie and Lin Chang-Shou, Spectrum of the Lame operator and application, II: When an endpoint is a cusp, Communications in Mathematical Physics, 378(2020), 335-368.
[5] Chen Zhijie and Lin Chang-Shou, Sharp nonexistence results for curvature equations with four singular sources on rectangular tori, American Journal of Mathematics, 142(2020), 1269-1300.
[6] Chen Zhijie and Lin Chang-Shou, On algebro-geometric simply-periodic solutions of the KdV hierarchy, Communications in Mathematical Physics, 374 (2020), 111-144.
[7] Chen Zhijie and Lin Chang-Shou, Critical points of the classical Eisenstein series of weight two, Journal of Differential Geometry, 113 (2019), 189-226.
[8] Chen Zhijie and Lin Chang-Shou, Self-dual radial non-topological solutions to a competitive Chern-Simons model, Advances in Mathematics, 331(2018), 484-541.
[9] Chen Zhijie, Kuo Ting-Jung, Lin Chang-Shou and Wang Chin-Lung, Green function, Painleve VI equation and Eisenstein series of weight one, Journal of Differential Geometry, 108(2018), 185-241.
[10] Chen Zhijie and Lin Chang-Shou, Removable singularity of positive solutions for a critical elliptic system with isolated singularity, Mathematische Annalen, 363(2015), 501-523.
[11] Chen Zhijie and Zou Wenming, Positive least energy solutions and phase separation for coupled Schrodinger equations with critical exponent, Archive for Rational Mechanics and Analysis, 205(2012), 515-551.
[12] Chen Zhijie, Kuo Ting-Jung and Lin Chang-Shou, Non-existence of solutions for a mean field equation on flat tori at critical parameter, Communications in Analysis and Geometry, 27 (2019), 1737-1755.
[13] Chen Zhijie, Kuo, Ting-Jung and Lin Chang-Shou, The geometry of generalized Lame equation, II: Existence of pre-modular forms and application, Journal de Mathematiques Pures et Appliquees, 132 (2019), 251-272.
[14] Chen Zhijie, Kuo, Ting-Jung and Lin Chang-Shou, Simple zero property of some holomorphic functions on the moduli space of tori, Science China Mathematics, 62 (2019), 2089-2102. 
[15] Chen Zhijie, Kuo Ting-Jung and Lin Chang-Shou, The geometry of generalized Lame equation, I, Journal de Mathematiques Pures et Appliquees, 127 (2019), 89-120.
[16] Chen Zhijie and Lin Chang-Shou, A new type of non-topological bubbling solutions to a competitive Chern-Simons model, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), 19(2019), 65-108.
[17] Chen Zhijie and Lin Chang-Shou, On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equation, Proceedings of the American Mathematical Society,146(2018), 3039-3047.
[18] Chen Zhijie, Kuo Ting-Jung, Lin Chang-Shou and Takemura Kouichi, Real-root property of the spectral polynomial of the Treibich-Verdier potential and related problems, Journal of Differential Equations, 264(2018), 5408-5431.
[19] Chen Zhijie, Kuo Ting-Jung, Lin Chang-Shou and Takemura Kouichi, On reducible monodromy representations of some generalized Lame equation, Mathematische Zeitschrift, 288(2018), 679-688.
[20] Chen Zhijie, Kuo Ting-Jung and Lin Chang-Shou, Existence and non-existence of solutions of the mean field equations on flat tori, Proceedings of the American Mathematical Society, 145(2017), 3989-3996.
[21] Chen Zhijie, Kuo Ting-Jung and Lin Chang-Shou, Unitary monodromy implies the smoothness along the real axis for some Painleve VI equation, I, Journal of Geometry and Physics, 116(2017), 52-63.
[22] Chen Zhijie, Kuo Ting-Jung and Lin Chang-Shou, Hamiltonian system for the elliptic form of Painleve VI equation, Journal de Mathematiques Pures et Appliquees,106(2016), 546-581.
[23] Chen Zhijie, Lin Chang-Shou and Zou Wenming, Infinitely many sign-changing and semi-nodal solutions for a nonlinear Schrodinger system, Annali della Scuola Normale Superiore di Pisa, Classe di Scienze (5), Vol. XV (2016), 859-897.
[24] Chen Zhijie and Lin Chang-Shou, Asymptotic behavior of least energy solutions for a critical elliptic system, International Mathematical Research Notices, 2015, 11045-11082.
[25] Chen Zhijie and Zou Wenming, Existence and symmetry of positive ground states for a doubly critical Schrodinger system, Transactions of the American Mathematical Society, 367(2015), 3599-3646.
[26] Chen Zhijie and Zou Wenming, Standing waves for a coupled system of nonlinear Schrodinger equations, Annali di Matematica Pura Applicata, 194(2015), 183-220.
[27] Chen Zhijie and Zou Wenming, Positive least energy solutions and phase separation for coupled Schrodinger equations with critical exponent: Higher dimensional case, Calculus of Variations and Partial Differential Equations, 52(2015), 423-467.
[28] Chen Zhijie, Lin Chang-Shou and Zou Wenming, Sign-changing solutions and phase separation for an elliptic system with critical exponent, Communications in Partial Differential Equations, 39(2014), 1827-1859.
[29] Chen Zhijie and Zou Wenming, A remark on doubly critical elliptic systems, Calculus of Variations and Partial Differential Equations, 50(2014), 939-965.
[30] Chen Zhijie and Zou Wenming, Standing waves for linearly coupled Schrodinger equations with critical exponent. Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 31(2014), 429-447.
[31] Chen Zhijie, Lin Chang-Shou and Zou Wenming, Monotonicity and nonexistence results to cooperative systems in the half space, Journal of Functional Analysis, 266(2014), 1088-1105.
[32] Chen Zhijie and Zou Wenming, On linearly coupled Schrodinger systems. Proceedings of the American Mathematical Society, 142(2014), 323-333.
[33] Zhang Jianjun, Chen Zhijie and Zou Wenming, Standing waves for nonlinear Schrodinger equations involving critical growth, Journal of London Mathematical Society, 90(2014), 827-844.
[34] Chen Zhijie and Zou Wenming, Standing waves for coupled nonlinear Schrodinger equations with decaying potentials, Journal of Mathematical Physics, 54(2013), 111505.
[35] Chen Zhijie, Lin Chang-Shou and Zou Wenming, Multiple sign-changing and semi-nodal solutions for coupled Schrodinger equations, Journal of Differential Equations, 255(2013), 4289-4311.
[36] Chen Zhijie and Zou Wenming, An optimal constant for the existence of least energy solutions of a coupled Schrodinger system. Calculus of Variations and Partial Differential Equations, 48(2013), 695-711.
[37] Chen Zhijie and Zou Wenming, Ground states for a system of Schrodinger equations with critical exponent. Journal of Functional Analysis, 262(2012), 3091-3107.
[38] Chen Zhijie and Zou Wenming, On an elliptic problem with critical exponent and Hardy potential. Journal of Differential Equations, 252(2012), 969-987.
[39] Chen Zhijie and Zou Wenming, On the Brezis-Nirenberg problem in a ball. Differential and Integral Equations, 25(2012), 527-542.
[40] Chen Zhijie, Shioji Naoki and Zou Wenming, Ground state and multiple solutions for a critical exponent problem. Nonlinear Differential Equations and Applications, 19(2012), 253-277.
[41] Chen Zhijie and Zou Wenming, A note on the Ambrosetti-Rabinowitz condition for an elliptic system, Applied Mathematics Letters, 25(2012), 1931-1935.
[42] Chen Zhijie and Zou Wenming, On coupled systems of Schrodinger equations. Advances in Differential Equations, 16(2011), 775-800.