English

The Hardy constant: a review

Analysis of PDEs 2023-11-15 v1

Abstract

We present a review of results that have been obtained in the past twenty-five years concerning the LpL^p-Hardy inequality with distance to the boundary. We concentrate on results where the best Hardy constant is either computed exactly or estimated from below.

Keywords

Cite

@article{arxiv.2311.08017,
  title  = {The Hardy constant: a review},
  author = {Gerassimos Barbatis},
  journal= {arXiv preprint arXiv:2311.08017},
  year   = {2023}
}

Comments

7 pages. To appear in the volume "Modern Problems in PDEs and Applications - Extended Abstracts of the 2023 Ghent Analysis and PDE Center Summer School", Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Springer. Editors: M. Chatzakou, J. Restrepo, M. Ruzhansky, B. Torebek, K. Van Bockstal

R2 v1 2026-06-28T13:20:32.229Z