Positive Solutions of $p$-th Yamabe Type Equations on Graphs

Xiaoxiao Zhang, Aijin Lin

Let $G=(V,E)$ be a finite connected weighted graph, and assume $1\le \alpha \le p\le q$. In this paper, we consider the following $p$-th Yamabe type equation $$-Δ_pu+hu^{q-1}=λfu^{α-1}…