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华南数学应用与交叉研究中心
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 & **@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5;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**;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, XuexiuA 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,**, 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 Equations54 (2015), no. 2,1793–1829.[4]Zhong, Xuexiu; Zou, WenmingCritical Schrödinger systems in Rn with indefinite weight and Hardy potential.Differential Integral Equations28 (2015), no. 1-2,119–154.
[3] Zhong, Xue Xiu; Zou, Wen MingA 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：
[3] Yinbin Deng, Qihan He and Xuexiu Zhong: Ground state normalized solution to Schr\"odinger systems with general nonlinearities and potentials, (submit to COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS)
[2]Zhen Chen, Xuexiu Zhong and Wenming Zou: Normalized solutions for nonlinear Schr\"odinger systems with special mass-mixed terms: The linear couple case, (submit to STUDIA-MATHEMATICA)
[1]X. Zhong, W. Zou, Ground state normalized solution]{Ground state normalized solution to Schr\"odinger equations with potential, (submit to MATHEMATISCHE ZEITSCHRIFT)
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)

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清华大学优秀博士毕业生(2015)

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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)

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清华大学综合优秀一等奖学金(2014,2013)

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清华大学光华奖学金二等奖(2012)

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华南理工大学理学院2009届优秀毕业生(2009)

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华南理工大学学生课外学术科技创新杰出贡献奖(2009)

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2007-2008学年度国家奖学金(2008)

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

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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)

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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)