The $L^1$ Liouville Property on Weighted manifolds
Differential Geometry
2014-02-26 v1 Analysis of PDEs
Abstract
We consider a complete noncompact smooth metric measure space and the associated drifting Laplacian. We find sufficient conditions on the geometry of the space so that every nonnegative -subharmonic function with bounded weighted norm is constant.
Keywords
Cite
@article{arxiv.1402.6170,
title = {The $L^1$ Liouville Property on Weighted manifolds},
author = {Nelia Charalambous and Zhiqin Lu},
journal= {arXiv preprint arXiv:1402.6170},
year = {2014}
}