夏超
职称：教授
职务：教师
学历：博士
电子邮件：chaoxia@xmu.edu.cn
联系电话：
办 公 室：数理大楼657




教育经历：2008/09-2012/07：Albert-Ludwigs-Universit?t Freiburg, Mathematics, Ph.D. Degree.
2007/09-2008/08：University of Science and Technology of China, Mathematics, Ph.D. student.
2003/09-2007/07：Sichuan University, Mathematics, Bachelor of Science.
工作经历：2015/07-Now: Professor, School of Mathematical Sciences, Xiamen University.
2018/10-2019/01: Visiting Professor, Department of Mathematics and Applied Mathematics, Xiamen University Malaysia.
2015.02-2016.01: Research Fellow, Department of Mathematics and Statistics, McGill University.
2014/09-2015/07：Associate Professor, School of Mathematical Sciences, Xiamen University.
2012/08-2014/08：Postdoc Fellow, Max-Planck institute for Mathematics in the Sciences.
研究方向：Geometric analysis and PDEs, including Riemann-Finsler Geometry, Geometry of Submanifolds, Conformal Geometry and related PDE problems.

所授课程：2014/2015 Fall: Calculus II-1.
2015/2016 Spring: Calculus I-2, Differential Geometry (graduate course).
2016/2017 Fall: Diffenretial Geometry (undergraduate course).
2017/2018 Fall: Diffenretial Geometry (undergraduate course, honors class), Geometric Analysis (graduate course).
2018/2019 Fall: Advanced Mathematics I (at XMUMalaysia Campus).
2019/2020 Fall: Mathematical Analysis III.
2019/2020 Spring: Diffenretial Geometry (undergraduate course, honors class)
2020/2021 Fall: Mathematical Analysis III.
获奖：Fujian Province Hundred Talents Plan, 2015.
科研项目：
1. Fundamental Research Funds for the Central Universities (Grant No. ): 2015.01-2017.12.
2.The National Natural Science Foundation of China (Grant No. **): 2016.01-2018.12.
3.The Scientific Research Foundation for the Returned Overseas Chinese Scholars: 2015.05-2018.04.
4. The Natural Science Foundation of Fujian Province of China (Grant No. 2017J06003): 2017.04-2020.03.
5. Fundamental Research Funds for the Central Universities (Grant No. ): 2018.01-2020.12.
6.The National Natural Science Foundation of China (Grant No. **): 2019.01-2022.12
论文:39. (with Guofang Wang) Hsiung-Minkowski's Formula For Hypersurfaces and their applications, submitted to the proceedings of the 8th ICCM.
38. (with Jinyu Guo) A partially overdetermined problem in domains with partial umbilical boundary in space forms, arXiv: 2001.10397.
37.(with Guofang Wang) Guan-Li type mean curvature flow for free boundary hypersurfaces in a ball, Comm. Anal. Geom. 2020, accepted, arXiv: 1910.07253.
36. (with Changwei Xiong) Escobar's conjecture on a sharp lower bound for the first nonzero Steklov eigenvalue, arXiv: 1907.07340.
35. (with Guofang Wang) Rigidity of free boundary CMC hypersurfaces in a ball, Surveys in Geometric Analysis, 2018, 138-153.
34. (with Jinyu Guo) Stability for a second type partitioning problem, J. Geom. Anal., 2020, accepted, arXiv: 1902.09105.
33. (with Francesco Della Pietra, Nunzia Gavitone) Symmetrization with respect to mixed volumes, arXiv:1902.04965.
32. (with Julian Scheuer, Guofang Wang) Alexandrov-Fenchel inequalities for convex hypersurfaces with free boundary in a ball, J. Differ. Geom., 2019, accepted. arXiv: 1811.05776.
31. (with Jinyu Guo) A partially overdetermined problem in a half ball, Calc. Var. PDE, 58 (2019), Issue 5, Article: 160.
30. (with Francesco Della Pietra, Nunzia Gavitone) Motion of level sets by inverse anisotropic mean curvature, Comm. Anal. Geom. 2020, accepted, arXiv: 1804.06639.
29. (with Pengfei Guan) $L^p$ Christoffel-Minkowski problem: the case $1<p<k+1$, Calc. Var. PDE, 57 (2018), Issue 2, Article: 69.
28. (with Julian Scheuer) Locally constraint inverse curvature flows, Trans. Amer. Math. Soc. 372 (2019), no. 10, 6771-6803.
27. (with Guofang Wang) Uniqueness of stable capillary hypersurfaces in a ball, Math. Ann., 374 (2019) Issue 3-4, 1845-1882.
26. (with Guohuan Qiu) Classical Neumann Problems for Hessian equations and Alexandrov-Fenchel's inequalities, Intern. Math. Res. Not. IMRN, 2019 (2019) Issue 20, 6285-6303.
25. (with Junfang Li) An integral formula and its applications on sub-static manifolds, J. Differ. Geom., 113 (2019), no.3, 493-518.
24. (with Bobo Hua，Martin Kell) harmonic functions on metric measure spaces, arXiv:1308.3607, unpublished.
23. Inverse anisotropic mean curvature flow and a Minkowski type inequality, Adv. Math., 315 (2017), 102-129.
22. (with Xiangwen Zhang) ABP estimate and geometric inequalities, Comm. Anal. Geom., 25 (2017), 685-708.

21. (with Bobo Hua, Shiping Liu) Liouville theorems for f-harmonic maps into Hadamard spaces, Pac. J. Math. 290 (2017), no.2, 381-402.
20. (with Junfang Li) An integral formula for affine connections, J. Geom. Anal. 27 (2017), no.3, 2539-2556.
19. Inverse anisotropic curvature flow from convex hypersurfaces, J. Geom. Anal. 27 (2017), no.3, 2131-2154.
18. (with Guohuan Qiu) Overdetermined boundary value problems in S^n, J. Math. Study, 50 (2017), 165-173.
17. (with Yuxin Ge, Guofang Wang, Jie Wu) Gauss-Bonnet-Chern mass and Alexandrov-Fenchel inequality, Frontiers of Mathematics in China, 11 (2016), Issue 5, 1207-1237.
16. A Minkowski type inequality in space forms, Calc. Var. PDE, 55 (2016), Issue 4, Article:96.
15. (with Guohuan Qiu) A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality, Intern. Math. Res. Not. IMRN, 2015 (2015) Issue 17, 7608-7619.
14. (with Jie Wu) Hypersurfaces with constant curvature quotients in warped product manifolds. Pac. J. Math. 274 (2015), No. 2, 355-371.
13. (with Yuxin Ge, Guofang Wang, Jie Wu) A Penrose inequality for graphs over Kottler space. Calc. Var. PDE, 52 (2015), Issue 3-4, 755-782.
12. Local gradient estimate for harmonic functions on Finsler manifolds, Calc. Var. PDE 51 (2014), Issue 3-4, 849-865.

11. (with Jie Wu) On rigidity of hypersurfaces with constant curvature functions in warped product manifolds, Ann. Global Anal. Geom. 46(2014), 1-22.
10. (with Bobo Hua) A note on local gradient estimate on Alexandrov spaces, Tohoku Math. J. (2) 66 (2014), 259-267.
9. (with Guofang Wang) Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space, Adv. Math. 259 (2014), 532-556.

8. On an anisotropic Minkowski problem, Indiana Univ. Math. J. 62 (2013), 1399-1430.

7. (with Guofang Wang) A sharp lower bound for the first eigenvalue in Finsler manifolds, Ann. IHP(C) Non. Anal., 30 (2013) Issue 6, 983-996.
6. (with Yuxin Ge, Guofang Wang) On problems related to an inequality of De Lellis and Topping, Internat. Math. Res. Not. IMRN, 2013 (2013) Issue 20, 4798-4818.
5. (with Yong Luo) H?lder regularity for equations of prescribed anisotropic mean curvature type, Manuscripta Math., 141 (2013), 589--600.
4. (with Guofang Wang) An optimal anisotropic Poincare inequality for convex domains, Pac. J. Math., 258 (2012) 305--326.
3. (with Guofang Wang) Blow-up analysis of a Finsler-Liouville equation in two dimensions, J. Differ. Eq., 252 (2012), 1668-1700.
2. (with Guofang Wang) A Brunn-Minkowski inequality for a Finsler-Laplacian, Analysis (Munich), 31(2011),103-115.
1. (with Guofang Wang) A characterization of the Wulff shape by an overdetermined anisotropic PDE, Arch. Rational Mech. Anal., 99 (2011), 99-115.