研究领域

非线性偏微分方程：Monge-Ampere方程，最优传输，凸几何，自由边界问题

论文成果 More>>

• 陈世炳,Liu, Jiakun,Wang, Xu-Jia.Global regularity for the Monge-Ampère equation with natural boundary condition.Ann. of Math.,2021,194(3):
• 陈世炳,Huang, Yong,Li, Qirui,Liu, Jiakun.The L_p-Brunn-Minkowski inequality for p<1.Adv. Math. 368 (2020), 107166,,2020,368107166.
• 陈世炳,Jiakun Liu,Xu-Jia Wang.Global regularity of optimal mappings in non-convex domains.SCIENCE CHINA-MATHEMATICS,2019,62(11):2057-2072.
• 陈世炳,Li, Qirui,Zhu, Guangxian.The logarithmic Minkowski problem for non symmetric measures.Trans. Amer. Math. Soc.,2019,3712623-2641.
• 陈世炳,Figalli, Alessio.Partial W^(2,p) regularity for optimal transport maps.J. Funct. Anal,2017,272(11):4588-4605..

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科研项目

• 国家杰出青年基金,在研,