On sharp constants in higher order Adams-Cianchi inequalities
Analysis of PDEs
2024-11-04 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.2411.00293,
title = {On sharp constants in higher order Adams-Cianchi inequalities},
author = {Prasun Roychowdhury and Daniel Spector},
journal= {arXiv preprint arXiv:2411.00293},
year = {2024}
}
Comments
25 pages