窦井波-数学与统计学院

基本情况

代表性学术论文

1. Jingbo Dou, Meijun Zhu, L¹ isoperimetric inequality on the unit disk, Advances in Mathematics，404 (2022),108383.
2. Jingbo Dou, Liming Sun, Lei Wang, Meijun Zhu, Divergent operator with degeneracy and related sharp inequalities, Journal of Functional Analysis, 282 (2022), 109294.
3. Jingbo Dou, Qianqiao Guo, Meijun Zhu, Negative power nonlinear integral equations on bounded domains, Journal of Differential Equations, 269(12) (2020), 10527-10557.
4. Jingbo Dou, Meijun Zhu, Nonlinear integral equations on bounded domains, Journal of Functional Analysis, 277(2019), 111-134.
5. Jingbo Dou, Ye Li, Classification of extremal functions to logarithmic Hardy-Littlewood-Sobolev inequality on the upper half space, Discrete and Continuous Dynamical Systems- Series A, 38(2018), 3939–3953.
6. Jingbo Dou, Qianqiao Guo, Meijun Zhu, Subcritical approach to sharp Hardy–Littlewood–Sobolev type inequalities on the upper half space, Advances in Mathematics, 312(2017), 1–45.
7. Jingbo Dou, Meijun Zhu, Reversed Hardy-Littewood-Sobolev inequality，International Mathematics Research Notices, 19 (2015), 9696-9726.
8. Jingbo Dou, Meijun Zhu, Sharp Hardy–Littlewood–Sobolev inequality on the upper half space, International Mathematics Research Notices, 3 (2015)，651-687.
9. Jingbo Dou，Meijun Zhu，The Two dimensional Lp Minkowski problem and nonlinear equations with negative exponents，Advances in Mathematics, 230 (2012), 1209–1221.

教育科研项目

1. 陕西高校青年创新团队：偏微分方程和几何分析创新团队，2022.1-2025.12。
2. 上半空间的最佳积分不等式及其应用,国家自然科学基金面上项目, 2021.1-2024.12, 主持人。
3. 精确的Carleman 型不等式及相联系的积分方程解的分类问题，陕西省杰出青年科学基金资助项目，2019.1-2021.12，主持人。
4. 紧流形上Hardy-Littlewood-Sobolev不等式及在曲率方程研究中的应用, 国家自然科学基金面上项目, 2016.1-2019.12, 主持人。
5. 共形几何中的精确积分不等式及其应用，国家青年自然科学基金, 2012.1-2014.12, 主持人。

教育科研奖励