Mixed-Parabolicity and Mixed-Liouville Property for Products of Riemannian Manifolds

Liguang Liu, Yuhua Sun, Suqing Wu

Let $p_1,p_2\in (1,\infty )$ and $M=M_1\times M_2$ be the product of two geodesically complete Riemannian manifolds. In this paper, the authors first develop an anisotropic potential…