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 2026 · math.APShow all

2 papers · 2 filters

math.AP2026

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 $X$ that supports a $2$ -Poincaré inequality, we approximate harmonic functions on a bounded domain $Ω$ with a prescribed Newton-Sobol…

math.AP2026

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 $p$ -Poincaré inequality, establishing existence of solutions to Dirichlet problem in a bounded…