Nageswari Shanmugalingam

activity

20072026

most citedRegularity of sets with quasiminimal boundary surfaces in metric spaces

46 citations · 339 across the 63 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.MG2017

An Analog of the Neumann Problem for the $1$ -Laplace Equation in the Metric Setting: Existence, Boundary Regularity, and Stability

Panu Lahti, Lukas Maly, Nageswari Shanmugalingam

We study an inhomogeneous Neumann boundary value problem for functions of least gradient on bounded domains in metric spaces that are equipped with a doubling measure and support a…

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 $1$ -Poincaré inequality. We propose a notion of \emph{domain with b…

An Analog of the Neumann Problem for the 1-Laplace Equation in the Metric Setting: Existence, Boundary Regularity, and Stability

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

An Analog of the Neumann Problem for the $1$ -Laplace Equation in the Metric Setting: Existence, Boundary Regularity, and Stability