A solution to Morrey's problem in $\mathbb{R}^{2\times m}$

Gabriele Cassese

A solution to Morrey's problem in $\mathbb{R}^{2\times m}$

Analysis of PDEs 2026-08-04 v1

Authors: Gabriele Cassese

Abstract

We construct homogeneous rank-one convex integrands $F\colon \mathbb{R}^{2\times m} \to \mathbb R$ that are nowhere quasiconvex when $m$ is large.

Cite

@article{arxiv.2608.03488,
  title  = {A solution to Morrey's problem in $\mathbb{R}^{2\times m}$},
  author = {Gabriele Cassese},
  journal= {arXiv preprint arXiv:2608.03488},
  year   = {2026}
}

Comments

25 pages. Comments are more than welcome