A. Lorent

activity

20082026

most citedRegularity of sets with quasiminimal boundary surfaces in metric spaces

46 citations · 62 across the 16 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AP2022

Quantitative rigidity of differential inclusions in two dimensions

Xavier Lamy, Andrew Lorent, Guanying Peng

For any compact connected one-dimensional submanifold $K \subset R^{2 \times 2}$ which has no rank-one connection and is elliptic, we prove the quantitative rigidity estimate…

math.AP2022

On optimal regularity estimates for finite-entropy solutions of scalar conservation laws

Xavier Lamy, Andrew Lorent, Guanying Peng

We consider finite-entropy solutions of scalar conservation laws $u_{t} + a (u)_{x} = 0$ , that is, bounded weak solutions whose entropy productions are locally finite Radon measures. Unde…

math.AP2022

On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds

Xavier Lamy, Andrew Lorent, Guanying Peng

Given any strictly convex norm $∥ \cdot ∥$ on $R^{2}$ that is $C^{1}$ in $R^{2} ∖ {0}$ , we study the generalized Aviles-Giga functional \[I_ε(m):=\int_Ω \left(ε…