Hui-Chun Zhang

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math.AP2026

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 $(X, d, I^¼)$ with Riemannian curvature-dimension condition $RCD(K,…

math.AP2024

Comments on the regularity of harmonic maps between singular spaces

Luca Gennaioli, Nicola Gigli, Hui-Chun Zhang +1

In this work we are going to establish HÃ¶lder continuity of harmonic maps from an open set $I^c ◯$ in an $RCD (K, N)$ space valued into a $CAT (I^º)$ space, with the constrai…