2 papers
math.AP2022
The existence of positive ground state solutions for the Choquard type equation on groups of polynomial growth
Ruowei Li
In this paper, let be a Cayley graph of a discrete group of polynomial growth with homogeneous dimension . We study the Choquard type equation on : \begin{equation}…
math.AP2022
Extremal functions for the second-order Sobolev inequality on groups of polynomial growth
Bobo Hua, Ruowei Li, Florentin Münch
In this paper, we prove the second-order Sobolev inequalities on Cayley graphs of groups of polynomial growth. We use the discrete Concentration-Compactness principle to prove the…