12 citations · 40 across the 12 of their papers we have counts for
Showing math.CAShow all
3 papers · 1 filter
math.CA2023
Partial Plateau's Problem with -mass
Enrique Alvarado, Qinglan Xia
Classically, Plateau's problem asks to find a surface of the least area with a given boundary . In this article, we investigate a version of Plateau's problem, where the boundar…
math.CA2020★ 5 cited
The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains
Qinglan Xia, Bohan Zhou
In this article, we consider the (double) minimization problem $$\min\left\{P(E;Ω)+λW_p(E,F):~E\subseteqΩ,~F\subseteq \mathbb{R}^d,~\lvert E\cap F\rvert=0,~ \lvert E\rvert=\lvert F…
math.CA2017
General fractals represented by -limit sets of compression maps
Tynan Lazarus, Enrique G Alvarado, Qinglan Xia
In this article, we provide a simple and systematic way to represent general (inhomogeneous) fractals that may look different at different scales and places. By using set-valued co…