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 2024 · math.APShow all

3 papers · 2 filters

math.AP2024

Fractional $p$ -Laplacians via Neumann problems in unbounded metric measure spaces

Luca Capogna, Ryan Gibara, Riikka Korte +1

We prove well-posedness, Harnack inequality and sharp regularity of solutions to a fractional $p$ -Laplace non-homogeneous equation $(- Δ_{p})^{s} u = f$ , with $0 < s < 1$ , $1 < p < \infty$ , for d…

math.AP2024

Well-posedness of Dirichlet boundary value problems for reflected fractional $p$ -Laplace-type inhomogeneous equations in compact doubling metric measure spaces

Josh Kline, Feng Li, Nageswari Shanmugalingam

In this paper we consider the setting of a locally compact, non-complete metric measure space $(Z, d, ν)$ equipped with a doubling measure $ν$ , under the condition that the boundary…

math.AP2024

On the Dirichlet-to-Neumann Map for the $p$ -Laplacian on a Metric Measure Space

Ryan Gibara, Nageswari Shanmugalingam

In this note, we construct a Dirichlet-to-Neumann map, from a Besov space of functions, to the dual of this class. The Besov spaces are of functions on the boundary of a bounded, l…

Fractional p-Laplacians via Neumann problems in unbounded metric measure spaces

Well-posedness of Dirichlet boundary value problems for reflected fractional p-Laplace-type inhomogeneous equations in compact doubling metric measure spaces

On the Dirichlet-to-Neumann Map for the p-Laplacian on a Metric Measure Space

Fractional $p$ -Laplacians via Neumann problems in unbounded metric measure spaces

Well-posedness of Dirichlet boundary value problems for reflected fractional $p$ -Laplace-type inhomogeneous equations in compact doubling metric measure spaces

On the Dirichlet-to-Neumann Map for the $p$ -Laplacian on a Metric Measure Space