Duvan A. Henao Manrique

Email: dhenao@mat.puc.cl

Tel: +56 2 2354 5971

Fax: +56 2 2552 5916

Address: Av. Vicuña Mackenna 4860. Macul, Santiago, Chile

Cavitation, nonlinear elasticity, fracture mechanics, calculus of variations, partial differential equations, free discontinuity problems

Symmetry of Uniaxial Global Landau--de Gennes Minimizers in the Theory of Nematic Liquid Crystals (with A. Majumdar), SIAM J. Math. Anal. 44 (2012) 3217--3241 [SIAM]
Energy estimates and cavity interaction for a critical-exponent cavitation model (with S. Serfaty), Comm. Pure Appl. Math. 66 (2013) 1028--1101 [Wiley]
An efficient numerical method for cavitation in nonlinear elasticity (with X. Xu), Math. Models Methods Appl. Sci. 21 (2011) 1733--1760 [World Scientific]
Lusin's condition and the distributional determinant for Sobolev deformations with finite energy (with C. Mora-Corral), Adv. Calc. Var. 5 (2012) 355--409 [de Gruyter]
Fracture surfaces and the regularity of inverses for BV deformations (with C. Mora-Corral), Arch. Ration. Mech. Anal. 201 (2011) 575--629 [Springer]
Invertibility and weak continuity of the determinant for the modelling of cavitation and fracture in nonlinear elasticity (with C. Mora-Corral), Arch. Ration. Mech. Anal. 197 (2010) 619--655 [Springer]
Cavitation, invertibility, and convergence of regularized minimizers in nonlinear elasticity, J. Elast. 94 (2009) 55--68 [Springer]
On the uniqueness of positive solutions of a quasilinear equation containing a weighted p-Laplacian, the superlinear case (with M. García-Huidobro), Commun. Contemp. Math. 10 (2008) 405-432 [World Scientific]

Instituto Alberto Merani (Bogotá, Colombia), 1999
Pontificia Universidad Católica de Chile, 2001-2004, Licenciatura en Matemáticas
On the uniqueness of positive radial solutions to $\Delta_p u + K(|x|)f(u)=0$, the superlinear case [pdf].
Master in Mathematics (with Marta García-Huidobro), Pontificia Universidad Católica de Chile, 2006.
Variational modelling of cavitation and fracture in nonlinear elasticity [ORA] [pdf].
D. Phil. in Mathematics (with John M. Ball), University of Oxford, 2009.

Variational modelling of cavitation and fracture, in J.M. Ball, R.D. James and S. Müller (eds.), PDE and Materials, Oberwolfach reports 6 (2009), no. 3, 2349--2351. [EMS-PH]

Segmentación de imágenes y otros problemas singulares (25/08/2012).
Isoperimetric inequalities and cavity interactions (8/08/2011).
Cavitation and fracture in nonlinear elasticity (12/04/2010)
Invertibility and surface energies for cavitation in nonlinear elasticity (25/03/2010)
Numerical computation of cavitation in nonlinear elasticity (29/10/2009)
Variational modelling of cavitation and fracture in nonlinear elasticity (6/10/2009)
Cavitation, invertibility and convergence of regularized minimizers in nonlinear elasticity (7/01/2008)
Uniqueness of positive radial solutions of -\Delta_p u=K(r)f(u) for superlinear functions f (21/05/2007)