On Aviles-Giga limit states with $L^p$ entropy productions

Xavier Lamy, Andrew Lorent, Guanying Peng

The Aviles-Giga energy provides sequences of maps converging to weak solutions $m:\Omega \subset {\mathbb{R}}^2\to {\mathbb{R}}^2$ of the eikonal equation \begin{align*} \mathrm{div}\, m=0\…