15 citations · 54 across the 42 of their papers we have counts for
6 papers · 1 filter
The Choquet and Kellogg properties for the fine topology when in metric spaces
Panu Lahti
In the setting of a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we prove the fine Kellogg property, the quasi-Lindelöf princi…
The variational 1-capacity and BV functions with zero boundary values on metric spaces
Panu Lahti
In the setting of a metric space that is equipped with a doubling measure and supports a Poincaré inequality, we define and study a class of BV functions with zero boundary values.…
An Analog of the Neumann Problem for the -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…
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…
Superminimizers and a weak Cartan property for in metric spaces
Panu Lahti
We study functions of least gradient as well as related superminimizers and solutions of obstacle problems in metric spaces that are equipped with a doubling measure and support a…
Quasiopen sets, bounded variation and lower semicontinuity in metric spaces
Panu Lahti
In the setting of a metric space that is equipped with a doubling measure and supports a Poincaré inequality, we show that the total variation of functions of bounded variation is…