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≥ 2 . Furthermore, in the special case of a model manifold with polynomial volume growth, we show that the conditions on the drift term are sharp.
Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds
Roncoroni A.
2023-01-01
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≥ 2 . Furthermore, in the special case of a model manifold with polynomial volume growth, we show that the conditions on the drift term are sharp.File in questo prodotto:
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