Ryan Gibara

activity

20212025

most citedSolving a Dirichlet problem for unbounded domains via a conformal transformation

5 citations · 11 across the 9 of their papers we have counts for

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Showing 2024Show all

3 papers · 1 filter

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.MG2024

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry

Ryan Gibara, Ilmari Kangasniemi, Nageswari Shanmugalingam

We study the large-scale behavior of Newton-Sobolev functions on complete, connected, proper, separable metric measure spaces equipped with a Borel measure $μ$ with $μ (X) = \infty$ …

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

On homogeneous Newton-Sobolev spaces of functions in metric measure spaces of uniformly locally controlled geometry

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

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