6 papers
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 \[ -Îu\ge v^p,\qquad -Îv\ge u^q, \qquad p,q>0,\quad pq>1, \] on arbitrary infinite…
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 \[ -Î_p u\ge Ï(x)u^q \] on infinite locally finite connected weighted graphs, whe…
Flow Decomposition, Green Testing, and Lane--Emden Inequalities on Weighted Graphs
Qingsong Gu, Lu Hao, Xueping Huang +1
We study positive solutions of the superlinear Lane--Emden inequality \[ -Îu\ge Ïu^q,\qquad q>1, \] on infinite locally finite weighted graphs and connected domains. When the Dir…
Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds
Liguang Liu, Yuhua Sun, Suqing Wu
Let and be the product of two geodesically complete Riemannian manifolds. In this paper, the authors first develop an anisotropic potential…
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…