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On sharp constants in higher order Adams-Cianchi inequalities

On sharp constants in higher order Adams-Cianchi inequalities

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_3123919998

On sharp constants in higher order Adams-Cianchi inequalities

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Full title

On sharp constants in higher order Adams-Cianchi inequalities

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2024-11

Language

English

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Publisher

Ithaca: Cornell University Library, arXiv.org

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Contents

The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, while the sharp constant in the first order case is due to Andrea Cianchi. We also prove a trace improvement of an inequality obtained independently by K. Hansson and H. Br...

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Full title

On sharp constants in higher order Adams-Cianchi inequalities

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TN_cdi_proquest_journals_3123919998

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_3123919998

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E-ISSN

2331-8422

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