3 papers
math.AP2026
A Wiener criterion at infinity for -massiveness on weighted graphs
Lu Hao
We study boundary value problems at infinity for the graph -Laplacian on infinite, connected, locally finite weighted graphs. Our main result is a Wiener criterion for -massi…
math.AP2024
On the equivalence of Lp-parabolicity and Lq-liouville property on weighted graphs
Lu Hao, Yuhua Sun
We study the equivalence between the -parabolicity, the -Liouville property of positive super-harmonic functions, and the existence of nonharmonic positive solutions to t…
math.AP2022
Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs
Lu Hao, Yuhua Sun
We study nonexistence and existence of nontrivial positive solutions to the following semilinear elliptic inequality involving gradient terms \[ Δu+u^p\left|\nabla u\right|^q\leq0,…