OBSTACLE PROBLEMS ON RCD(K,N)METRIC MEASURE SPACES  

作　　者：林锶坍 Sitan Lin(Department of Mathematics,Sun Yat-Sen University,Guangzhou,510275,China)

机构地区：[1]Department of Mathematics,Sun Yat-Sen University,Guangzhou,510275,China

出　　处：《Acta Mathematica Scientia》2023年第5期1925-1944,共20页数学物理学报（B辑英文版）

基　　金：supported by the National Key R&Dprogram of China(2021YFA1003001)。

摘　　要：In this paper,we solve the obstacle problems on metric measure spaces with generalized Ricci lower bounds.We show the existence and Lipschitz continuity of the solutions,and then we establish some regularities of the free boundaries.

关 键 词：obstacle problem metric measure space Riemannian curvature-dimension condition 

分 类 号：O177[理学—数学]