Xiaodan Zhou

most citedUniqueness and nonuniqueness of

p

-harmonic Green functions on weighted

R^{n}

and metric spaces

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.FA2025

Geometric inequalities related to fractional perimeter: fractional Poincaré, isoperimetric, and boxing inequalities in metric measure spaces

Josh Kline, Panu Lahti, Jiang Li +1

In the setting of a complete, doubling metric measure space $(X, d, μ)$ supporting a $(1, 1)$ -Poincaré inequality, we show that for all $0 < θ < 1$ , the following fractional Poincaré ineq…

math.AP2025★ 1 cited

Uniqueness and nonuniqueness of $p$ -harmonic Green functions on weighted $R^{n}$ and metric spaces

Anders Björn, Jana Björn, Sylvester Eriksson-Bique +1

We study uniqueness of $p$ -harmonic Green functions in domains $Ω$ in a complete metric space equipped with a doubling measure supporting a $p$ -Poincaré inequality, with $1<p<\inft…

math.FA2023

BV functions and nonlocal functionals in metric measure spaces

Panu Lahti, Andrea Pinamonti, Xiaodan Zhou

We study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show t…

Geometric inequalities related to fractional perimeter: fractional Poincaré, isoperimetric, and boxing inequalities in metric measure spaces

Uniqueness and nonuniqueness of p-harmonic Green functions on weighted Rn and metric spaces

BV functions and nonlocal functionals in metric measure spaces

Uniqueness and nonuniqueness of $p$ -harmonic Green functions on weighted $R^{n}$ and metric spaces