arXiv:2411.00293 Abstract | arXiv Analytics

arXiv:2411.00293 [math.AP]Abstract References Reviews Resources

On sharp constants in higher order Adams-Cianchi inequalities

Published 2024-11-01Version 1

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. Brezis and S. Wainger.

Comments: 25 pages

Categories: math.AP, math.FA

Keywords: inequality, higher order adams-cianchi inequalities, sharp constant, first order case, main results

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