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数学科学学院
博士/副研究员
研究方向:偏微分方程，泛函分析，变分法和临界点理论
     zhongxuexiu1989@163.com & 20190117@m.scnu.edu.cn

2009/08-2015/07  清华大学  数学科学系  硕博连读  硕博导师：邹文明教授

2005/09-2009/07  华南理工大学 理学院数学与应用数学系  毕设指导老师：吴敏教授

2019/05-至今  华南师范大学  数学应用与交叉研究中心   副研究员
2017/07-2019/05  中山大学  数学学院     副研究员 
2015/08-2017/07  台湾大学 理论科学研究中心   博士后   合作导师：林长寿教授

2020--2021学年度：Sobolev Space and L^2 Theory

2021.01.01-2023.12.31：带位势的非线性薛定谔方程固定质量问题解的研究；广东省自然科学基金-面上项目；10万，主持
2021.04.01-2023.03.31：玻色-爱恩斯坦凝聚系统中的一些公开问题的研究;广州市基础与应用基础研究项目202102020225;5万; 主持
2019.01.01-2021.12.31: 分数阶Caffarelli–Kohn–Nirenberg不等式及其应用; 国家自然科学基金青年项目11801581;26万;主持
2018.05.01-2021.04.30：非线性Schrödinger; 广东省自然科学基金博士启动项目;10万;主持

已发表或接收：
[10] Zhong, Xuexiu , Zou, Wenming : A nonlinear elliptic PDE with  multiple   Hardy-Sobolev critical exponents in $\R^N$ ,J. Differential Equations, 292(2021),354-387.  https://authors.elsevier.com/a/1d4sR_W4cOCfT
[9]Wei, Juncheng，Zhong, Xuexiu , Zou, Wenming ：On Sirakov's open problem and related topics，Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)
DOI:10.2422/2036-2145.202010_010.
[8]Bartsch, Thomas,Zhong, Xuexiu , Zou, Wenming : Normalized solutions for a coupled Schrödinger system.  Math. Ann. （2020）https://link.springer.com/article/10.1007/s00208-020-02000-w
[7]Lin, Chang-Shou; Yang, Wen; Zhong, Xuexiu A priori estimates of Toda systems, I: the Lie algebras of An,Bn,Cn and G2. J. Differential Geom. 114 (2020), no. 2, 337–391.
[6]Zhong, X.; Zou, W.  A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents. Commun. Contemp. Math. 18 (2016), no. 4, 1550061, 26 pp.
[5] Cerami, G.; Zhong, X.; Zou, W. On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. Calc. Var. Partial Differential Equations 54 (2015), no. 2, 1793–1829.
[4]Zhong, Xuexiu; Zou, Wenming  Critical Schrödinger systems in Rn with indefinite weight and Hardy potential.Differential Integral Equations 28 (2015), no. 1-2, 119–154.
[3] Zhong, Xue Xiu; Zou, Wen Ming  A concentration behavior for semilinear elliptic systems with indefinite weight.Acta Math. Sin. (Engl. Ser.) 30 (2014), no. 12, 2014–2026.
[2]Zhong, X.; Zou, W. Ground state and multiple solutions via generalized Nehari manifold. Nonlinear Anal. 102 (2014), 251–263.
[1]Zhong, X.; Zou, W. Existence of infinitely many solutions for sublinear elliptic problems. Glasg. Math. J. 54 (2012), no. 3, 535–545.


在投文章：
[5]Yanheng Ding, Xuexiu Zhong,

Normalized solution to the Schödinger equation with potential and general nonlinear term: Mass super-critical case,arXiv:2111.01687v1


[4]Qihan He, Zongyan Lv, Yimin Zhang, Xuexiu Zhong,

Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical,arXiv:2110.12921v2


[3] Yinbin Deng, Qihan He and Xuexiu Zhong: Ground state normalized solution to Schr\"odinger systems with general nonlinearities and potentials.arXiv:2107.12570v2
[2] Zhen Chen, Xuexiu Zhong and Wenming Zou: Normalized solutions for nonlinear Schr\"odinger systems with special mass-mixed terms: The linear couple case. arXiv:2107.12564v2
[1] X. Zhong, W. Zou, Ground state normalized solution]{Ground state normalized solution to Schr\"odinger equations with potential.arXiv:2107.12558v2

其他:
[6]Xuexiu Zhong and Wenming Zou: On coupled Schr\”odinger systems with double critical exponents and indefinite weights, arXiv:1503.08917
[5]Xuexiu Zhong and Wenming Zou: Existence of extremal functions for a family of Caffarelli-Kohn-Nirenberg inequalities, arXiv:1504.00433
[4]Xuexiu Zhong and Wenming Zou: On Elliptic Systems involving critical Hardy-Sobolev exponents (Part II), arXiv:1504.02939
[3]Xuexiu Zhong and Wenming Zou: On Elliptic Systems involving critical Hardy-Sobolev exponents (Part I), arXiv: 1504.01005v1
[2]Xuexiu Zhong and Wenming Zou: On Elliptic Equations and Systems involving critical Hardy-Sobolev exponents (non-limit case), arXiv:1505.07392
[1] Xuexiu Zhong and Wenming Zou: On a double-variable inequality and elliptic systems involving critical Hardy-Sobolev exponents, arXiv:1711.10477
 

清华大学二O一五年度优秀博士学位论文一等奖(2015)

 

 

      清华大学优秀博士毕业生(2015)

 

 

中科院武汉物理与数学研究所第三届东湖学术论坛暨2014年武汉天眷学子论坛二等奖(2014)

 

 

清华大学综合优秀一等奖学金(2014,2013)

 

 

清华大学光华奖学金二等奖(2012)

 

 

华南理工大学理学院2009届优秀毕业生(2009)

 

 

华南理工大学学生课外学术科技创新杰出贡献奖(2009)

 

 

2007-2008学年度国家奖学金(2008)

 

 

Meritorious Winner for COMAP's Mathematical Contest in Modeling (MCM), Consortium for Mathematics and its applications & National Security Agency(2008)

 

 

2007年高教社杯全国大学生数学建模竞赛甲组一等奖，教育部高等教育司&中国工业与应用数学学会(2007)

 

 

2007年全国大学生数学建模竞赛广东赛区一等奖,广东省教育厅&中国工业与应用数学学会(2007)