Full Professor, University of Cincinnati

Email: lorentaw AT uc.edu

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

Available papers (16):

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• 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)

Seminars:

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