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 2025Show all

3 papers · 1 filter

math.MG2025

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$

Ilmari Kangasniemi, Josh Kline, Nageswari Shanmugalingam +1

We construct a large class of metric measure spaces $Z$ which satisfy the identity $D^{1, p} (Z) = N^{1, p} (Z) + R$ , i.e.\ any measurable function $u : Z \to R$ …

math.AP2025

Sharp Hölder regularity of weak solutions of the Neumann problem and applications to nonlocal PDE in metric measure spaces

Luca Capogna, Ryan Gibara, Riikka Korte +1

We prove global Hölder regularity result for weak solutions $u \in N^{1, p} (Ω, μ)$ to a PDE of $p$ -Laplacian type with a measure as non-homogeneous term: \[ -\text{div}\!\left( |\nab…

math.MG2025

Sharp conditions for preserving uniformity, doubling measure and Poincaré inequality under sphericalization

Riikka Korte, Sari Rogovin, Nageswari Shanmugalingam +1

We study sphericalization, which is a mapping that conformally deforms the metric and the measure of an unbounded metric measure space so that the deformed space is bounded. The go…

Warped products, solid hyperbolic fillings, and the identity D1,p=N1,p+R

Sharp Hölder regularity of weak solutions of the Neumann problem and applications to nonlocal PDE in metric measure spaces

Sharp conditions for preserving uniformity, doubling measure and Poincaré inequality under sphericalization

Warped products, solid hyperbolic fillings, and the identity $D^{1, p} = N^{1, p} + R$