论文标题
半线性椭圆形不平等的夏普liouville类型结果，涉及加权图上的梯度术语
Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs
论文作者
论文摘要
我们研究了以下半椭圆形不平等的非平凡阳性解决方案的不存在和存在，涉及梯度术语 \ [ ΔU+u^p \ left | \ nabla u \ right |^q \ leq0， \] 在加权图上，其中$（p，q）\ in \ mathbb {r}^2 $。我们提供了$（P，Q）$的完整分类，根据该分类，建立了急剧的增长假设。
We study nonexistence and existence of nontrivial positive solutions to the following semilinear elliptic inequality involving gradient terms \[ Δu+u^p\left|\nabla u\right|^q\leq0, \] on weighted graphs, where $(p,q)\in\mathbb{R}^2$. We give a complete classification of $(p,q)$ under which sharp volume growth assumptions are established.
