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.AP2025
Discrete Caffarelli-Kohn-Nirenberg inequalities and ground state solutions to nonlinear elliptic equations
Fengwen Han, Ruowei Li
In this paper, we prove the discrete Caffarelli-Kohn-Nirenberg inequalities on the lattice () in a broader range of parameters than the classical continuo…