2 papers
math.AP2025
Some existence and uniqueness results for infinity Laplace equations on infinite graphs
Fengwen Han, Tao Wang
We study the Dirichlet problem of the following discrete infinity Laplace equation on unbounded subgraphs \begin{equation*} Δ_{\infty}u(x):=\inf_{y\sim x}u(y)+\sup_{y\sim x}u(y)-2u…
math.AP2023
Discrete infinity Laplace equations on graphs and tug-of-war games
Fengwen Han, Tao Wang
We study the Dirichlet problem of the following discrete infinity Laplace equation on a subgraph with finite width $$Δ_{\infty} u(x) = \inf_{y \sim x}u(y)+\sup_{y \sim x}u(y)-2u(x)…