46 citations · 339 across the 63 of their papers we have counts for
4 papers · 1 filter
Warped product spaces: Gromov hyperbolicity and identification of the visual boundary
Josh Kline, Nageswari Shanmugalingam, Gareth Speight +1
In this paper, we consider warped product spaces , where is a complete geodesic Gromov hyperbolic space, is a compact geodesic metric space, and the warping fun…
On the equivalence of BV notions in metric measure spaces
Luigi Ambrosio, Enrico Pasqualetto, Nageswari Shanmugalingam
The aim of the paper is to compare in detail several notions of space of functions of bounded variation in metric measure spaces . Informall…
Approximation of harmonic functions on metric measure spaces of controlled geometry via discrete graphs
Almaz Butaev, Liangbing Luo, Nageswari Shanmugalingam
Given a complete doubling metric measure space that supports a -Poincaré inequality, we approximate harmonic functions on a bounded domain with a prescribed Newton-Sobol…
Solving Dirichlet problem on unbounded uniform domains by using sphericalization techniques
Riikka Korte, Sari Rogovin, Nageswari Shanmugalingam +1
Within the setting of metric spaces equipped with a doubling measure and supporting a -Poincaré inequality, establishing existence of solutions to Dirichlet problem in a bounded…