English

A remark on staircase laminates in restricted sets

Analysis of PDEs 2026-02-19 v1

Abstract

We slightly extend the convex integration via staircase laminate toolbox recently developed by Kleiner, M\"uller, Sz\'{e}kelyhidi, and Xie. As an example we revisit the proof by Astala-Faraco-Sz\'{e}kelyhidi on optimal Meyers' regularity theory via this framework.

Cite

@article{arxiv.2602.16407,
  title  = {A remark on staircase laminates in restricted sets},
  author = {Igor Buchowiec and Pholphum Kamthorntaksina and Katarzyna Mazowiecka and Armin Schikorra and Akshara Vincent},
  journal= {arXiv preprint arXiv:2602.16407},
  year   = {2026}
}
R2 v1 2026-07-01T10:41:14.269Z