Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds
Meglioli G, Roncoroni A (2023)
Journal of Geometric Analysis 33(10): 320.
Zeitschriftenaufsatz
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Autor*in
Meglioli, GiuliaUniBi;
Roncoroni, Alberto
Einrichtung
Abstract / Bemerkung
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.
Stichworte
Uniqueness theorems;
Weighted Lebesgue spaces;
Riemannian manifolds;
Elliptic equations with drift
Erscheinungsjahr
2023
Zeitschriftentitel
Journal of Geometric Analysis
Band
33
Ausgabe
10
Art.-Nr.
320
ISSN
1050-6926
eISSN
1559-002X
Page URI
https://pub.uni-bielefeld.de/record/2981965
Zitieren
Meglioli G, Roncoroni A. Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds. Journal of Geometric Analysis. 2023;33(10): 320.
Meglioli, G., & Roncoroni, A. (2023). Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds. Journal of Geometric Analysis, 33(10), 320. https://doi.org/10.1007/s12220-023-01378-8
Meglioli, Giulia, and Roncoroni, Alberto. 2023. “Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds”. Journal of Geometric Analysis 33 (10): 320.
Meglioli, G., and Roncoroni, A. (2023). Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds. Journal of Geometric Analysis 33:320.
Meglioli, G., & Roncoroni, A., 2023. Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds. Journal of Geometric Analysis, 33(10): 320.
G. Meglioli and A. Roncoroni, “Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds”, Journal of Geometric Analysis, vol. 33, 2023, : 320.
Meglioli, G., Roncoroni, A.: Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds. Journal of Geometric Analysis. 33, : 320 (2023).
Meglioli, Giulia, and Roncoroni, Alberto. “Uniqueness in Weighted Lebesgue Spaces for an Elliptic Equation with Drift on Manifolds”. Journal of Geometric Analysis 33.10 (2023): 320.
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