个人简介

郭振宇，1982年生，德国《数学文摘》评论员，美国《数学评论》评论员。研究方向是非线性分析，主要涉及变分法与偏微分方程

学习经历

2001年9月-2005年7月，新葡萄8883国际官网，数学与应用数学（师范），学士

2005年9月-2008年7月，新葡萄8883国际官网，应用数学，硕士，导师：刘泽庆教授

2013年9月-2016年7月，清华大学，基础数学，博士，导师：邹文明教授

工作经历

2008年7月-2017年11月，辽宁石油化工大学

2017年12月至今，新葡萄8883国际官网

详细介绍

教学教研：

本科生课程：数学分析、高等数学

学术论文：

[1] Zhenyu Guo, Positive ground state solutions for a nonlinearly coupled Schrodinger system with critical exponents in R^4, J. Math. Anal. Appl., 2015, 430(2): 950-970.

[2] Zhenyu Guo, Ground states for a nonlinear elliptic equation involving multiple Hardy-Sobolev critical exponents, Adv. Nonlinear Stud., 2016, 16(2): 333-344.

[3] Zhenyu Guo and Wenming Zou, On a class of coupled Schrodinger systems with critical Sobolev exponent growth, Math. Methods Appl. Sci., 2016, 39: 1730-1746.

[4] Zhenyu Guo, Ground states for a nonhomogeneous elliptic system involving Hardy-Sobolev critical exponents, Math. Nachr., 2017, 290(7): 1053-1065.

[5] Zhenyu Guo, Senping Luo and Wenming Zou, On critical systems involving fractional Laplacian, J. Math. Anal. Appl., 2017, 446: 681-706.

[6] Zhenyu Guo, Kanishka Perera and Wenming Zou, On critical p-Laplacian systems, Adv. Nonlinear Stud., 2017, 17(4): 641-659.

[7] Zhenyu Guo, Michael Melgaard and Wenming Zou, Schrodinger equations with magnetic fields and Hardy-Sobolev critical exponents, Electron. J. Differential Equations, 2017, No.199, pp. 1-18.

[8] Zhenyu Guo and Michael Melgaard, Fractional magnetic Sobolev inequalities with two variables, Math. Inequal. Appl., 2019, 22(2): 703-718.

[9] Zhenyu Guo and Wenming Zou, Positive ground state solutions for an elliptic system with Hardy-Sobolev critical exponent growth, J. Math. Phys., 2019, 60(10), 101502, 20 pp.

[10] Zhenyu Guo, Senping Luo and Wenming Zou, On a critical Schrodinger system involving Hardy terms, J. Fixed Point Theory Appl., 2021, 23:53.

[11] 郭振宇，刘敏，唐仲伟，一类涉及分数阶Hardy-Schrodinger算子和Hardy-Sobolev临界指数的方程组，中国科学:数学, 2021, 51(5): 697-710.

[12] Zhenyu Guo and Yan Deng, Multiplicity of solutions for a fractional Laplacian equation involving a perturbation, J. Contemp. Math. Anal., 2021, 56(6): 375-385.

[13] Zhenyu Guo and Xin Zhang, On the solitary solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory, J. Contemp. Math. Anal., 2022, 57(3): 145-156.

[14] Zhenyu Guo and Yan Deng, Ground state solutions for a fractional system involving critical non-linearities, Ann. Funct. Anal., 2022, 13: 46.

[15] Zhenyu Guo and Lujuan Zhao, Ground states for fractional Choquard equations with magnetic fields and critical exponents, Georgian Math. J., 2022, 29(5): 699-713.

[16] Zhenyu Guo and Xueqian Yan, Ground state solutions for fractional Schrodinger equations with critical exponents, Proc. Indian Acad. Sci., Math. Sci. 2022, 132:59.

[17] Zhenyu Guo and Xuexiu Zhong, On a fractional Hardy-Sobolev inequality with two-variables, Rocky Mt. J. Math., 2022, 52(5): 1643-1660.

[18] Zhenyu Guo and Lujuan Zhao, Positive ground states for the fractional Klein-Gordon-Maxwell system with critical exponents, Mediterr. J. Math., 2023, 20(2): Paper No. 67.

[19] Zhenyu Guo and Lujuan Zhao, Existence of ground states for fractional Choquard-Kirchhoff equations with magnetic fields and critical exponents, Period. Math. Hung., 2023, 87: 468-483.

[20] Zhenyu Guo and Qingying Shi, A Schrodinger-Poisson system with the critical growth on the first Heisenberg group, J. Contemp. Math. Anal., 2023, 58(3): 196-207.

[21] Zhenyu Guo and Lujuan Zhao, Ground states for fractional Choquard equations with doubly critical exponents and magnetic fields, Izv. Math. 2024, 88(1): 43-53.

[22] Zhenyu Guo and Wenyan Jin, Normalized solutions to fractional mass supercritical Choquard systems, J. Geom. Anal. 2024, 34: 104.

[23] Zhenyu Guo and Xueqian Yan, Existence of solutions for critical Klein–Gordon equations coupled with Born–Infeld theory in higher dimensions, Port. Math. 2024, 81:1-19.

[24] Zhenyu Guo and Wenyan Jin, Normalized solutions of linear and nonlinear coupled Choquard systems with potentials, Ann. Funct. Anal. 2024, 15: 43.

[25] Zhenyu Guo and Fengyi Liang, Normalized solutions for coupled Schrodinger systems with potentials and nonhomogeneous nonlinearities, Commun. Pure Appl. Anal. 2024, 23(6), 808-829.

[26] Zhenyu Guo and Xin Zhang, On the standing wave in coupled fractional Klein-Gordon equation, Georgian Math. J. 2024, 31(3), 405-421.

科研项目：

[1]几类非局部临界椭圆问题和相关变分法的研究，国家自然科学基金青年项目(No. 11701248)，

2018年1月-2020年12月，23万，主持

[2]带有磁场的分数阶问题研究，辽宁省自然科学基金博士启动项目(No. 20180540028)，

2018年9月-2020年8月，3万，主持

[3]几类分数阶临界问题的研究，校新进博士启动(No. BS2018L004)，

2018年9月-2020年8月，5万，主持

[4]带有磁场的分数阶问题基态解性质研究，辽宁省教育厅青年项目(No. LJKQZ2021093)，

2021年7月-2024年6月，4万，主持

[5]关于Klein-Gordon-Maxwell问题的研究，辽宁省自然科学基金面上项目(No. 2021-MS-275)，

2021年8月-2023年7月，5万，主持

[6]分数阶Klein-Gordon问题和相关变分法的研究，国家自然科学基金数学天元基金项目(No. 12126334)，

2022年1月-2022年12月，10万，主持

[7]Choquard方程的正规化解，辽宁省教育厅面上项目(No. LJ212410165018)，

2024年7月-2026年6月，3万，主持