ACF-Monotonicity Formula on RCD(0,N) Metric Measure Cones
Abstract
The ACF-monotonicity formula is a powerful tool in the study of two-phase free boundary problems, which was introduced by Alt, Caffarelli, and Friedman[1]. In this paper, we extend it to RCD(0,N) metric measure cones. As an application, we give a rigidity result for RCD(0,N) metric measure cones.
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