Improved hardy inequalities on Riemannian manifolds
| dc.contributor.author | Mohanta, Kaushik | |
| dc.contributor.author | Tyagi, Jagmohan | |
| dc.date.accessioned | 2023-09-11T12:35:38Z | |
| dc.date.available | 2023-09-11T12:35:38Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Mohanta, K., & Tyagi, J. (2023). Improved hardy inequalities on Riemannian manifolds. <i>Complex Variables and Elliptic Equations</i>, <i>Early online</i>. <a href="https://doi.org/10.1080/17476933.2023.2247998" target="_blank">https://doi.org/10.1080/17476933.2023.2247998</a> | |
| dc.identifier.other | CONVID_184294331 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/89037 | |
| dc.description.abstract | We study the following version of Hardy-type inequality on a domain Ω in a Riemannian manifold (M,g): ∫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 | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Taylor & Francis | |
| dc.relation.ispartofseries | Complex Variables and Elliptic Equations | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | Hardy inequality | |
| dc.subject.other | manifold | |
| dc.subject.other | reminder term | |
| dc.subject.other | critical case | |
| dc.title | Improved hardy inequalities on Riemannian manifolds | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202309115063 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.relation.issn | 1747-6933 | |
| dc.relation.volume | Early online | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2023 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | Riemannin monistot | |
| dc.subject.yso | monistot | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p39163 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p28181 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1080/17476933.2023.2247998 | |
| jyx.fundinginformation | Authors thank IIT Gandhinagar for the financial support under the grant MIS/IITGN/R&D/MA/JT/202122/069. | |
| dc.type.okm | A1 |
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