A. Lorent

collaborators

3 papers

math.AP2026

On regularity and rigidity of $2 \times 2$ differential inclusions into non-elliptic curves

Xavier Lamy, Andrew Lorent, Guanying Peng

We study differential inclusions $D u \in I^$ in an open set $I^c ◯ \subset R^{2}$ , where $I^\subset R^{2 \times 2}$ is a compact connected $C^{2}$ curve without rank-one conne…

math.AP2026

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 $m : I^c ◯ \subset R^{2} \to R^{2}$ of the eikonal equation \begin{align*} \mathrm{div}\, m=0…

math.AP2025

Another regularizing property of the 2D eikonal equation

Xavier Lamy, Andrew Lorent, Guanying Peng

A weak solution of the two-dimensional eikonal equation amounts to a vector field $m : I^c ◯ \subset R^{2} \to R^{2}$ such that $∣ m ∣ = 1$ a.e. and $div m = 0$ in $\ma…

On regularity and rigidity of 2×2 differential inclusions into non-elliptic curves

On Aviles-Giga limit states with Lp entropy productions

Another regularizing property of the 2D eikonal equation

On regularity and rigidity of $2 \times 2$ differential inclusions into non-elliptic curves

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