[lorent]

Associate professor, University of Cincinnati

**Email:** *lorentaw AT uc.edu*

**Home-page:** http://alorent.googlepages.com/

- X. Lamy - A. Lorent - G. Peng (Preprint)

On a generalized Aviles-Giga functional: compactness, zero-energy states, regularity estimates and energy bounds (2022) - A. Lorent - G. Peng (Preprint)

Factorization for entropy production of the Eikonal equation and regularity (2021) - A. Lorent - G. Peng (Submitted Paper)

On the Rank-$1$ convex hull of a set arising from a hyperbolic system of Lagrangian elasticity (2019) - A. Lorent - G. Peng (Preprint)

Null Lagrangian Measures in subspaces, compensated compactness and conservation laws (2018) - A. Lorent - G. Peng (Accepted Paper:
*Ann. Inst. Poincare Anal. Non Lineaire.*)

Regularity of the Eikonal equation with two vanishing entropies (2016) - A. Lorent (Accepted Paper:
*Quarterly Journal of Mathematics*)

Differential inclusions, non-absolutely convergent integrals and the first theorem of complex analysis (2014) - A. Lorent (Accepted Paper:
*Ann. Sc. Norm. Super. Pisa. Cl. Sci.*)

A quantitative characterisation of functions with low Aviles Giga energy on convex domains (2014) - A. Lorent (Submitted Paper)

Rigidity of pairs of quasiregular mappings whose symmetric part of gradient are close (2013) - A. Lorent (
*Calculus of Variations and PDE*)

On functions whose symmetric part of gradient agree and a generalization of Reshetnyak's compactness theorem (2013) - A. Lorent (Accepted Paper:
*ESIAM COCV*)

On indecomposable sets with applications (2013) - J. Kinnunen - R. Korte - A. Lorent - N. Shanmugalingam (
*J. Geom. Anal.*)

Regularity of sets with quasiminimal boundary surfaces in metric spaces (2013) - R. L. Jerrard - A. Lorent (
*Advances in Calculus of Variations*)

On multiwell Liouville theorems in higher dimension (2013) - A. Lorent (Accepted Paper:
*Advances in Calculus of Variations*)

A generalized Stoilow decomposition for pairs of mappings of integrable dilatation (2012) - A. Lorent (
*ESIAM COCV*)

A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity (2012) - A. Lorent (
*Math. Ann.*)

A Marstrand theorem for measures with polytope density (2007) - A. Lorent (Submitted Paper:
*Annales Academiae Scientiarum Fennicae, Mathematica*)

A generalised conical density theorem for unrectifiable sets (2003)

*7 nov 2007:*``A Marstrand theorem for measures with polytope density''*6 mar 2003:*Surface energy for the two well problem