Regularity of sets with quasiminimal boundary surfaces in metric spaces J Kinnunen, R Korte, A Lorent, N Shanmugalingam Journal of Geometric Analysis 23, 1607-1640, 2013 | 44 | 2013 |
Rectifiability of measures with locally uniform cube density A Lorent Proceedings of the London Mathematical Society 86 (1), 153-249, 2003 | 22 | 2003 |
A two well Liouville theorem A Lorent ESAIM: Control, Optimisation and Calculus of Variations 11 (3), 310-356, 2005 | 21 | 2005 |
On multiwell Liouville theorems in higher dimension RL Jerrard, A Lorent Advances in Calculus of Variations 6 (3), 247-298, 2013 | 19* | 2013 |
Rigidity of a non-elliptic differential inclusion related to the Aviles–Giga conjecture X Lamy, A Lorent, G Peng Archive for Rational Mechanics and Analysis 238, 383-413, 2020 | 18 | 2020 |
A generalised conical density theorem for unrectifiable sets A Lorent Annales Fennici Mathematici 28 (2), 415-431, 2003 | 18 | 2003 |
The two-well problem with surface energy A Lorent Proceedings of the Royal Society of Edinburgh Section A: Mathematics 136 (4 …, 2006 | 17 | 2006 |
Regularity of the eikonal equation with two vanishing entropies A Lorent, G Peng Annales de l'Institut Henri Poincaré C, Analyse non linéaire 35 (2), 481-516, 2018 | 16 | 2018 |
A quantitative characterisation of functions with low Aviles Giga energy on convex domains A Lorent arXiv preprint arXiv:0902.0154, 2009 | 15 | 2009 |
An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure A Lorent ESAIM: Mathematical Modelling and Numerical Analysis 35 (5), 921-934, 2001 | 12 | 2001 |
A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity A Lorent ESAIM: Control, Optimisation and Calculus of Variations 18 (2), 383-400, 2012 | 10 | 2012 |
On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds X Lamy, A Lorent, G Peng Communications in Partial Differential Equations 47 (11), 2270-2308, 2022 | 9 | 2022 |
Factorization for entropy production of the Eikonal equation and regularity A Lorent, G Peng arXiv preprint arXiv:2104.01467, 2021 | 9 | 2021 |
Quantitative rigidity of differential inclusions in two dimensions X Lamy, A Lorent, G Peng International Mathematics Research Notices 2024 (8), 6325-6349, 2024 | 8 | 2024 |
A Marstrand type theorem for measures with cube density in general dimension A Lorent Mathematical Proceedings of the Cambridge Philosophical Society 137 (3), 657-696, 2004 | 8 | 2004 |
On the Rank-1 convex hull of a set arising from a hyperbolic system of Lagrangian elasticity A Lorent, G Peng Calculus of Variations and Partial Differential Equations 59 (5), 156, 2020 | 7 | 2020 |
The regularisation of the N-well problem by finite elements and by singular perturbation are scaling equivalent in two dimensions A Lorent ESAIM: Control, Optimisation and Calculus of Variations 15 (2), 322-366, 2009 | 6 | 2009 |
On functions whose symmetric part of gradient agree and a generalization of Reshetnyak’s compactness theorem A Lorent Calculus of Variations and Partial Differential Equations 48 (3), 625-665, 2013 | 5 | 2013 |
On the scaling of the two well problem A Lorent | 5 | 2005 |
Null Lagrangian measures in subspaces, compensated compactness and conservation laws A Lorent, G Peng Archive for Rational Mechanics and Analysis 234, 857-910, 2019 | 4 | 2019 |