Obserwuj
Andrew Lorent
Andrew Lorent
Associate Professor of Mathematics
Zweryfikowany adres z uc.edu - Strona główna
Tytuł
Cytowane przez
Cytowane przez
Rok
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
422013
Rectifiability of measures with locally uniform cube density
A Lorent
Proceedings of the London Mathematical Society 86 (1), 153-249, 2003
222003
A two well Liouville theorem
A Lorent
ESAIM: Control, Optimisation and Calculus of Variations 11 (3), 310-356, 2005
212005
On multiwell Liouville theorems in higher dimension
RL Jerrard, A Lorent
Advances in Calculus of Variations 6 (3), 247-298, 2013
18*2013
A generalised conical density theorem for unrectifiable sets
A Lorent
Annales Fennici Mathematici 28 (2), 415-431, 2003
182003
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
172020
The two-well problem with surface energy
A Lorent
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 136 (4 …, 2006
162006
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
152018
A quantitative characterisation of functions with low Aviles Giga energy on convex domains
A Lorent
arXiv preprint arXiv:0902.0154, 2009
142009
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
122001
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
102012
Factorization for entropy production of the Eikonal equation and regularity
A Lorent, G Peng
arXiv preprint arXiv:2104.01467, 2021
92021
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
82022
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
82004
Quantitative rigidity of differential inclusions in two dimensions
X Lamy, A Lorent, G Peng
International Mathematics Research Notices 2024 (8), 6325-6349, 2024
72024
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
72020
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
62009
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
52013
On the scaling of the two well problem
A Lorent
52005
Null Lagrangian measures in subspaces, compensated compactness and conservation laws
A Lorent, G Peng
Archive for Rational Mechanics and Analysis 234, 857-910, 2019
42019
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