Showing math.APShow all
3 papers · 1 filter
math.AP2026
A Volume-Growth Criterion for the p-Laplace Inequality on Weighted Graphs
Qingsong Gu, Lu Hao, Xueping Huang +1
We prove a nonexistence result for nonnegative solutions of the quasi-linear elliptic inequality \[ -Δ_p u\ge σ(x)u^q \] on infinite locally finite connected weighted graphs, where…
math.AP2026
Liouville Type Results for Quasilinear Elliptic Inequalities Involving Gradient Terms on Weighted Graphs
Anh Tuan Duong, Yao Liu, Nguyên Công Minh +2
In this paper, we study the following quasi-linear elliptic inequality on weighted graphs, where $(m,p,q)\in (1,\infty)\times\mathbb{R}\times\…
math.AP2022
Superlinear elliptic inequalities on weighted graphs
Qingsong Gu, Xueping Huang, Yuhua Sun
Let be an infinite, connected, locally finite weighted graph. We study the problem of existence or non-existence of positive solutions to a semi-linear elliptic inequality…