基本情况

冯晓晶, 教授（博士生导师）, 主要从事非线性泛函分析和微分方程研究, 在向量场构成的退化偏微分方程的正则性问题、拟线性椭圆问题、Schrödinger方程、Choquard型方程和Kirchhoff型非局部问题等方面取得重要成果, 发展了新的理论分析技巧。

 Email地址：fengxj@sxu.edu.cn

通信地址：太原市小店区坞城路92号, 山西大学数学与统计学院

教育经历

2010/03–2013/03，西北工业大学，应用数学，博士，导师：钮鹏程；

2005/09–2008/07，山西大学，基础数学，硕士，导师：李福义。     

工作经历

2021年12月至今，山西大学，数学与统计学院，教授

2021年3月–2021年12月在中国科学院数学与系统科学研究院访问

2018年12月–2019年6月在澳大利亚新英格兰大学访问

2016年12月–2021年12月，山西大学，数学与统计学院，副教授

2013年5月–2016年12月，山西大学，数学与统计学院，讲师

项目基金

1. 国家自然科学基金面上项目，12271313，非局部微分方程的多次变号解，2023/1-2026/12，在研，参加

2. 山西省基础研究计划面上项目，202203021211300，非局部拟线性方程解的存在性和集中性研究，2023/01-2025/12，在研，主持

3. 国家自然科学基金天元数学访问学者项目，12026218，拟线性Schrödinger方程和非局部Kirchhoff问题研究，2021/01–2021/12，已结题，主持

4. 山西省回国留学基金项目，2020-005，具有临界指数的Choquard方程的解，2020/08–2023/07，已结题，参加

5. 山西省基础研究计划项目，201801D121002，一类修正的Schrödinger- Poisson系统解的存在性，2018/12–2020/12，已结题，主持

6. 国家自然科学基金面上项目，11671239，基尔霍夫方程的解，2017/01– 2020/12，已结题，参加

7. 山西省高校科技创新项目，2016106，带有奇异项的Schrödinger-Poisson系统解的存在性与多解性，2016/04–2018/04， 已结题，参加

8. 国家自然科学基金专项基金-数学天元，11526126，几类分数阶椭圆型问题的变分法研究，2016/01–2016/12，已结题，参加

9. 山西省基础研究计划项目，2015011005，积空间中的半序和非线性算子研究及应用，2015/05–2017/12，已结题，参加

10. 山西省基础研究计划项目，2015021007，Schrödinger-Poisson系统解的存在性与分歧， 2015/05–2017/12，已结题，参加

11. 山西省高等学校科技创新项目，2015101，退化椭圆方程解的高阶正则性，2015/03–2017/03，已结题，主持

12. 山西省青年科技研究基金项目，2014021009-1，齐次群上非线性退化椭圆方程解的存在性，2014/01–2016/12，已结题，主持

13. 国家自然科学基金面上项目，11271299，带漂移向量场的平方和型退化椭圆偏微分方程的正则性，2013/01–2016/12，已结题，参加

部分论文目录

1. Lei Long, Xiaojing Feng, Normalized solutions to a class of Choquard-type equations with potential, Topol. Methods Nonlinear Anal. 63 (2024), no. 2, 515–536.

2. Xiaojing Feng, Haidong Liu, Normalized solutions for scalar field equation involving multiple critical nonlinearities, Forum Math. 36 (2024) 843–856.

3. Lei Long, Xiaojing Feng, Normalized solutions to the Schrödinger systems with double critical growth and weakly attractive potentials, Electronic Journal of Qualitative Theory of Differential Equations, 42 (2023) 1–22.

4. Xiaojing Feng, Haidong Liu, Zhitao Zhang, Normalized solutions for Kirchhoff type equations with combined nonlinearities: The Sobolev critical case, Discrete and Continuous Dynamical Systems, 43 (2023) 2935–2972.

5. Xiaojing Feng, Ground state solution for a class of supercritical Hénon equation with variable exponent,Topological Methods in Nonlinear Analysis, 62 (2023) 181–201.

6. Xiaojing Feng, Regularity lifting of weak solutions for sub-Laplace equation on homogeneous groups, MATHEMATICAL REPORTS, 24(74) (2022) 721–730.

7.  Xiaojing Feng, Ground state solution for a class of supercritical nonlocal equations with variable exponent, Electronic Journal of Qualitative Theory of Differential Equations, 59 (2021) 1–29.

8. 陈丽珍, 冯晓晶, 李刚, 带有非紧条件的拟线性Schrodinger-Poisson系统非平凡解的存在性, 应用数学学报, 44 (2021) 1–15.

9. Xiaojing Feng, Xia Yang, Existence of ground state solutions for fractional Schrödinger-Poisson systems with doubly critical growth, Mediterranean Journal of Mathematics, (2021) 18:41.

10. 冯晓晶, 带有双临界项的薛定谔-泊松系统非平凡解的存在性, 数学物理学报, 40A (2020) 1590–1598.

11. Xiaojing Feng, Nontrivial solution for Schrödinger–Poisson equations involving the fractional Laplacian with critical exponent, Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, (2021) 115:10

12. Xiaojing Feng, Existence and concentration of ground state solutions for doubly critical Schrödinger–Poisson-type systems, Zeitschrift fuer Angewandte Mathematik und Physik, (2020) 71:154.

13. Xiaojing Feng, Ground state solution for a class of Schrödinger–Poisson-type systems with partial potential, Zeitschrift fuer Angewandte Mathematik und Physik, (2020) 71:37.

14. Feng Xiaojing, Ground state solutions for Schrödinger-Poisson systems involving the fractional Laplacian with critical exponent, Journal of Mathematical Physics, 60 (2019) 051511.

15.  Fuyi Li, Caihong Chang, Xiaojing Feng, Existence of solutions to a class of Schrödinger–Poisson systems with indefinite nonlinearity, Applicable Analysis, 96 (2017) 721–740.

16. Fuyi Li, Chen Guan, Xiaojing Feng, Multiple positive radial solutions to some Kirchhoff equations, Journal of Mathematical Analysis and Applications, 440 (2016) 351–368.

17. Xiaojing Feng, Ying Zhang, Existence of non-trivial solution for a class of modified Schrödinger-Poisson equations via perturbation method, Journal of Mathematical Analysis and Applications, 442 (2016) 673–684.

18. Xiaojing Feng, Nontrivial solution for Schrödinger-Poisson equations involving a fractional nonlocal operator via Perturbation methods, Zeitschrift fuer Angewandte Mathematik und Physik, (2016) 67:74.

19. Xiaojing Feng, Regularity in Orlicz Spaces for Non-Divergence Degenerate Elliptic Equations on Homogeneous Groups, Journal of Contemporary Mathematical Analysis, 51 (2016) 111–120.

20. Maochun Zhu, Pengcheng Niu, Xiaojing Feng, Orlicz regularity for non- divergence parabolic systems with partially VMO coefficients, Mathematica Scandinavica, 116 (2015) 141–160.

21. Xiaojing Feng, Pengcheng Niu, Local Sobolev-Morrey estimates for nondivergence operators with drift on homogeneous groups, Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 108 (2014) 683–709.

22. Xiaojing Feng, Pengcheng Niu, Global Morrey Estimates for a Class of Ornstein-Uhlenbeck Operators, Journal of Contemporary Mathematical Analysis, 49 (2014) 42–52.

23. Xiaojing Feng, Pengcheng Niu, Maochun Zhu, Global weak Morrey estimates for some ultraparabolic operators of Kolmogorov-Fokker-Planck type, Bulletin of the Korean Mathematical Society, 51 (2014) 1241–1257.

24. Xiaojing Feng, Pengcheng Niu, Interior Regularity for Degenerate Elliptic Equations with Drift on Homogeneous Groups, Journal of Lie Theory, 23 (2013) 803–825.

25. Xiaojing Feng, Pengcheng Niu, Global Orlicz regularity for sub-Laplace equations on homogeneous groups, Bulletin des Sciences Mathematiques, 136 (2012) 648–665.

26. Xiaojing Feng, Pengcheng Niu, Regularity lifting of weak solutions for nonlinear sub-Laplace equations on homogeneous groups, Archiv der Mathematik, 98 (2012) 361–371.

27. Yuexia Hou, Xiaojing Feng, Xuewei Cui, Global Hölder estimates for hypoelliptic operators with drift on homogeneous groups, Miskolc Mathematical Notes, 13 (2012) 337–347.

28. 钮鹏程, 冯晓晶, 齐次群上带漂移项亚椭圆算子的整体Sobolev-Morrey估计, 中国科学:数学, (2012) 903–918.

29. Xiaojing Feng, Pengcheng Niu, Qianqiao Guo, Multiple solutions of some boundary value problems with parameters, Nonlinear Analysis-Theory Methods & Applications, 74 (2011) 1119–1131.

30. Xiaojing Feng, Pengcheng Niu, Qianqiao Guo, Existence of solutions for 2mth-order periodic boundary value problems, Applied Mathematics and Computation, 218 (2011) 2343–2352.

科学技术奖励

1. 2019年获山西省科学技术奖（自然科学类）二等奖，排名第四

2. 2015年获陕西省优秀博士论文

3. 2013年获陕西省高等学校科学技术奖一等奖，排名第七

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