most citedDomains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient

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math.AP2017★ 1 cited

Domains in metric measure spaces with boundary of positive mean curvature, and the Dirichlet problem for functions of least gradient

Panu Lahti, Lukas Maly, Nageswari Shanmugalingam +1

We study the geometry of domains in complete metric measure spaces equipped with a doubling measure supporting a -Poincaré inequality. We propose a notion of \emph{domain with b…