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Title: | Improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds |
Authors: | Berchio, Elvise GANGULY, DEBDIP Grillo, Gabriele Dept. of Mathematics |
Keywords: | Hyperbolic space Multipolar Hardy inequality Poincaré inequality TOC-APR-2020 2020 2020-APR-WEEK4 |
Issue Date: | May-2020 |
Publisher: | Springer Nature |
Citation: | Annali di Matematica Pura ed Applicata (1923 -), 199, 65–80. |
Abstract: | We prove a family of improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds. For suitable configurations of poles, these inequalities yield an improved multipolar Hardy inequality and an improved multipolar Poincaré inequality such that the critical unipolar singular mass is reached at any pole. |
URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4557 https://doi.org/10.1007/s10231-019-00866-5 |
ISSN: | 0373-3114 1618-1891 |
Appears in Collections: | JOURNAL ARTICLES |
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