6 citations · 22 across the 16 of their papers we have counts for
17 papers
Flow decomposition and stochastic completeness of weighted graphs
Qingsong Gu, Lu Hao, Xueping Huang +1
We give a new proof by flow decomposition of the known Grigor'yan type integral criterion for stochastic completeness of weighted graphs. The main ingredient is a finite-domain est…
Flow Decomposition and Sharp Integral Fujita Criteria on Weighted Graphs
Qingsong Gu, Lu Hao, Xueping Huang +1
We study the Fujita phenomenon for semilinear heat inequalities generated by variable-speed Laplacians on infinite weighted graphs. Assuming that the graph carries a proper adapted…
A sharp integral criterion for the Lane--Emden system of inequalities on weighted graphs
Qingsong Gu, Lu Hao, Xueping Huang +1
We establish a sharp integral nonexistence criterion for the Lane--Emden system of inequalities \[ -Δu\ge v^p,\qquad -Δv\ge u^q, \qquad p,q>0,\quad pq>1, \] on arbitrary infinite,…
Nonnegative Bakry--Émery Curvature on Bounded-Degree Graphs Implies Volume Doubling and Poincaré Inequalities
Qi Guo, Xueping Huang, Yi C. Huang
We prove that every connected simple graph of bounded degree satisfying the classical dimension-free Bakry--Émery condition for the unnormalised Laplacian i…
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…
On Brezis Open Problem 3.1
Qi Guo, Xueping Huang, Yi C. Huang +2
Let be the unit disk in . We consider the harmonic map equation subject to the Dirichlet boundary condition $ u(e^{iθ})=(R\cosθ,R\sinθ,…