English

On Korn inequalities with lower order trace terms

Analysis of PDEs 2025-10-01 v1

Abstract

We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities involving normal or tangential trace components, or lower dimensional trace integrals.

Keywords

Cite

@article{arxiv.2509.26526,
  title  = {On Korn inequalities with lower order trace terms},
  author = {Franz Gmeineder and Endre Süli and Tabea Tscherpel},
  journal= {arXiv preprint arXiv:2509.26526},
  year   = {2025}
}

Comments

24 pages, 3 figures, 1 table

R2 v1 2026-07-01T06:08:12.807Z