One-phase Free Boundary Problems on RCD Metric Measure Spaces

Chung-Kwong Chan, Hui-Chun Zhang, Xi-Ping Zhu

In this paper, we consider a vector-valued one-phase Bernoulli-type free boundary problem on a metric measure space $(X,d,\hat{I}¼)$ with Riemannian curvature-dimension condition $RCD(K,…