Ryan Gibara

activity

20232025

collaborators

Showing math.APShow all

2 papers · 1 filter

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.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…

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

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

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