Existence, Lipschitz regularity, and almost-(N-1)-manifold structure of free boundaries are proved for one-phase Bernoulli problems on non-collapsed RCD(K,N) spaces.
Ambrosio, Calculus, heat flow and curvature-dimension bounds in metric measure spaces , Proceedings of the International Congress of Mathematicians--Rio de Janeiro 2018
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2021 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
One-phase Free Boundary Problems on RCD Metric Measure Spaces
Existence, Lipschitz regularity, and almost-(N-1)-manifold structure of free boundaries are proved for one-phase Bernoulli problems on non-collapsed RCD(K,N) spaces.