Non-existence of nontrivial positive solutions to Δ_m u + u^p |∇u|^q ≤ 0 on weighted graphs under sharp volume growth conditions for ranges of (m,p,q).
Woess.Random walks on infinite graphs and groups, volume 138 ofCambridge Tracts in Mathematics
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Liouville Type Results for Quasilinear Elliptic Inequalities Involving Gradient Terms on Weighted Graphs
Non-existence of nontrivial positive solutions to Δ_m u + u^p |∇u|^q ≤ 0 on weighted graphs under sharp volume growth conditions for ranges of (m,p,q).