Published Paper
Inserted: 21 oct 2022
Last Updated: 17 oct 2023
Journal: J. Geom. Anal.
Year: 2023
Doi: https://doi.org/10.1007/s12220-023-01378-8
Abstract:
We investigate the uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of elliptic equations with a drift posed on a complete, noncompact, Riemannian manifold $M$ of infinite volume and dimension $N\ge2$. Furthermore, in the special case of a model manifold with polynomial volume growth, we show that the conditions on the drift term are sharp.