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

collaborators

Showing 2015Show all

3 papers · 1 filter

math.AP2015

Fine properties and a notion of quasicontinuity for BV functions on metric spaces

Panu Lahti, Nageswari Shanmugalingam

On a metric space equipped with a doubling measure supporting a Poincaré inequality, we show that given a BV function, discarding a set of small $1$ -capacity makes the function con…

math.MG2015

Trace and extension theorems for functions of bounded variation

Lukáš Malý, Nageswari Shanmugalingam, Marie Snipes

In this paper we show that every $L^{1}$ -integrable function on $\partial Ω$ can be obtained as the trace of a function of bounded variation in $Ω$ whenever $Ω$ is a domain with regul…

math.MG2015

Trace theorems for functions of bounded variation in metric spaces

Panu Lahti, Nageswari Shanmugalingam

In this paper we show existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure…