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 2022 · math.APShow all

2 papers · 2 filters

math.AP2022★ 5 cited

Solving a Dirichlet problem for unbounded domains via a conformal transformation

Ryan Gibara, Riikka Korte, Nageswari Shanmugalingam

In this paper, we solve the $p$ -Dirichlet problem for Besov boundary data on unbounded uniform domains with bounded boundaries when the domain is equipped with a doubling measure s…

math.AP2022★ 7 cited

Neumann problems for $p$ -harmonic functions, and induced nonlocal operators in metric measure spaces

Luca Capogna, Josh Kline, Riikka Korte +2

Following ideas of Caffarelli and Silvestre in~\cite{CS}, and using recent progress in hyperbolic fillings, we define fractional $p$ -Laplacians $(- Δ_{p})^{θ}$ with $0 < θ < 1$ on any compa…

Solving a Dirichlet problem for unbounded domains via a conformal transformation

Neumann problems for p-harmonic functions, and induced nonlocal operators in metric measure spaces

Neumann problems for $p$ -harmonic functions, and induced nonlocal operators in metric measure spaces