Obstacle Problems on RCD(K, N) Metric Measure Spaces

被引：0
|
作者：
Sitan Lin
机构：
[1] Sun Yat-Sen University,Department of Mathematics
来源：
Acta Mathematica Scientia | 2023年 / 43卷
关键词：
obstacle problem; metric measure space; Riemannian curvature-dimension condition; 51K10; 35R35;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1925 / 1944
页数：19
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