$L^p$-parabolicity of Riemannian manifolds

Alexander Grigor'yan, Leandro F. Pessoa, Alberto G. Setti

We describe the $L^p$-parabolicity of a Riemannian manifold in terms of a unified theory of nonlinear $L^p$-capacities, for the whole range $1\le p\le \infty$. For example, the \…