M. Snipes

activity

20122022

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★ 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.MG2015

Trace and extension theorems for functions of bounded variation

Lukáš Malý, Nageswari Shanmugalingam, Marie Snipes

In this paper we show that every $L^{1}$ -integrable function on $\partial Ω$ can be obtained as the trace of a function of bounded variation in $Ω$ whenever $Ω$ is a domain with regul…

math.CA2012

A constructive proof of the Assouad embedding theorem with bounds on the dimension

Guy David, Marie Snipes

We give a constructive proof of a theorem of Naor and Neiman, (to appear, Revista Matematica Iberoamercana), which asserts that if $(E, d)$ is a doubling metric space, there is an i…

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

Trace and extension theorems for functions of bounded variation

A constructive proof of the Assouad embedding theorem with bounds on the dimension

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