Joshua Kline

most citedNeumann problems for

p

-harmonic functions, and induced nonlocal operators in metric measure spaces

7 citations · 7 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2022

Obstacle problems with double boundary condition for least gradient functions in metric measure spaces

Josh Kline

In the setting of a metric space equipped with a doubling measure supporting a $(1, 1)$ -Poincaré inequality, we study the problem of minimizing the BV-energy in a bounded domain $Ω$ …

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…

math.MG2019

Carathéodory-type extension theorem with respect to prime end boundaries

Joshua Kline, Jeff Lindquist, Nageswari Shanmugalingam

We prove a Carathéodory-type extension of BQS homeomorphisms between two domains in proper, locally path-connected metric spaces as homeomorphisms between their prime end closures.…

Obstacle problems with double boundary condition for least gradient functions in metric measure spaces

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

Carathéodory-type extension theorem with respect to prime end boundaries

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