A1 Journal article (refereed)
Improved hardy inequalities on Riemannian manifolds (2023)
Mohanta, K., & Tyagi, J. (2023). Improved hardy inequalities on Riemannian manifolds. Complex Variables and Elliptic Equations, Early online. https://doi.org/10.1080/17476933.2023.2247998
JYU authors or editors
Publication details
All authors or editors: Mohanta, Kaushik; Tyagi, Jagmohan
Journal or series: Complex Variables and Elliptic Equations
ISSN: 1747-6933
eISSN: 1747-6941
Publication year: 2023
Publication date: 21/08/2023
Volume: Early online
Publisher: Taylor & Francis
Publication country: United Kingdom
Publication language: English
DOI: https://doi.org/10.1080/17476933.2023.2247998
Publication open access: Openly available
Publication channel open access: Partially open access channel
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/89037
Web address of parallel published publication (pre-print): arXiv:2308.10303
Abstract
∫Ω|∇u|pgραdVg≥(|p−1+β|p)p∫Ω|u|p|∇ρ|pg|ρ|pραdVg+∫ΩV|u|pραdVg,∀u∈C∞c(Ω).
We provide sufficient conditions on p,α,β,ρ and V for which the above inequality holds. This generalizes earlier well-known works on Hardy inequalities on Riemannian manifolds. The functional setup covers a wide variety of particular cases, which are discussed briefly: for example, RN with p
Keywords: manifolds (mathematics); Riemannian manifolds
Free keywords: Hardy inequality; manifold; reminder term; critical case
Contributing organizations
Ministry reporting: Yes
Reporting Year: 2023
Preliminary JUFO rating: 1
