Articles

• Zuniga, A., Agudelo, O. (2014). A two end family of solutions for the inhomogeneous Allen–Cahn equation in R2. Journal of Differential Equations 256(1): 157-205.

Articles

• Alessio, F., Montecchiari, P., Zuniga, A. (2019). Prescribed energy connecting orbits for gradient systems. Discrete and Continuous Dynamical Systems 39(8): 4895-4928.

• Zuniga, A., Sternberg, P. (2016). On the heteroclinic connection problem for multi-well gradient systems. Journal of Differential Equations 261(7): 3987-4007.

Talks

• [Nov 27, 2023] Energy-prescribed connecting orbits of gradient systems, Andres Zuniga. Calculus of Variations and PDE Seminar, Universidad de O'Higgins. [Slides]

• Calderer, M.C., Henao, D., Sánchez, M.A., Siegel, R.A., Song, S. (2024). A Numerical Scheme and Validation of the Asymptotic Energy Release Rate Formula for a 2d Gel Thin Film Debonding Problem. SIAM J. Appl. Math (in press). 

• Calderer, M.C., Henao, D., Sánchez, M.A., Siegel, R.A., Song, S. (2023). Gels: Energetics, Singularities, and Cavitation. J Elast.

• Song, S., Siegel, R.A., Sánchez, M.A., Calderer, M.C., Henao, D. (2023). Experiments, Modelling, and Simulations for a Gel Bonded to a Rigid Substrate. J Elast 153, 651–679.

• Calderer, M.C., Garavito, C., Henao, D. , Tapia, L., Lyu, S. (2020). Gel Debonding from a Rigid Substrate. J Elast 141: 51–73. 

• Xu, X., Calderer, M.C., Doi, M., and Henao, D. (2020). Debonding waves in gel thin films.  Proc. R. Soc. A. 476: 20200001.

Talks

• [Apr 21, 2023] Debonding of thin polymer gel films. Duvan Henao. Sesión de Cálculo de variaciones y E.D.P., XXXV Jornada de la Matemática de la Zona Sur.

• [Dec 8, 2022] Debonding of thin polymer gel films. Sesión de Matemática aplicada y física matemática, Duvan Henao.  XC Encuentro de la Sociedad de Matemática de Chile, Punta de Tralca. [Abstract] [Slides]

• [Apr 28, 2022] Debonding of a gel from a rigid substrate. Duvan Henao. Calculus of Variations session, XXXIV Jornada de la Matemática de la Zona Sur.  [Abstract] [Talk recording] [Slides] 

• [May 17-28, 2021] Debonding of a gel from a rigid substrate. Duvan Henao. SIAM Conference on Mathematical Aspects of Materials Science, Bilbao (online).  [Slides]

Talks

• [Nov 9, 2023] Propagación del caos y la ecuación de McKean-Vlasov: Implicancias y aplicaciones en construcción de nicho, Cristóbal Quiñinao, XXIX Encuentro de la Sociedad de Ecología de Chile, Olmué, Chile. [Abstract] 

• [Mar 24, 2023] Control in probability for SDE models of growth population, Cristóbal Quiñinao, Biostochastic Workshop 2023, Las Cruces, Chile. 

Talks

• [Dec 21, 2023] Condición angle-bounded para las ecuaciones de FitzHugh-Nagumo en electrofisiología cardíaca. Joaquín Oyarzún. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

• [Sep 1, 2023] Angle-Bounded condition for FitzHugh-Nagumo equations in cardiac electrophysiology, Joaquín Oyarzún. Master thesis defense, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. [mat.uc.cl] [ici_uoh]

• [Jan 6, 2023] Excitation and inhibition balance as a dynamical process Further studies in some Mean Field FitzHugh Nagumo models of interconnected neurons. Cristóbal Quiñinao. AMS Joint Mathematical Meeting, Boston, USA. [Abstract]

Articles

• Buzančić, M., Hernández-Llanos, P., Velčić, I., Zubrinič, J. (2024). A poroelastic plate model obtained by simultaneous homogenization and dimension reduction. arXiv:2403.16220 [math.AP] 

• Durante, T., Faella, L., Hernández-Llanos, P., Prakash, R. (2023). A homogenization bending shell theory for multiscale materials from 3D nonlinear elasticity. arXiv:1905.09114 [math.AP] 

• Xu, X., Calderer, M.C., Doi, M., and Henao, D. (2020). Debonding waves in gel thin films.  Proc. R. Soc. A. 476: 20200001.

Articles

• Dolbeault, J., Zuniga, A. (2022). Symmetry breaking and weighted Euclidean logarithmic Sobolev inequalities. arXiv:2210.12488 [math.AP] 

Talks

• [Dec 20, 2023] Symmetry and symmetry breaking in weighted logarithmic Sobolev inequalities. Andres Zuniga. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

Articles

• Alama, S., Bronsard, L., Topaloglu, I., Zuniga, A. (2021). A nonlocal isoperimetric problem with density perimeter. Calc. Var. 60(1).

• Zuniga, A. (2019). Continuity of minimizers to weighted least gradient problems. Nonlinear Analysis 178: 86-109.

Theses

• [Oct 13, 2023] Implementación numérica para la resolución de un problema variacional no local, Xavier Carrera. Master thesis defense, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. [mat.uc.cl] [ici_uoh]

Talks

• [July 05, 2024; 15:15hrs]. Construction of Delaunay-like compact equilibria in a nonlocal isoperimetric problem. Andres Zuniga.  Jornadas de Análisis Geométrico en Valparaíso (JAGV). Universidad Técnica Federico Santa María. [Abstract] 

• [June 06, 2024; 16:10hrs]. Geometric construction of minimizers to least gradient problems: the density case. Andres Zuniga. Seminario de Análisis y Geometría, Facultad de Matemáticas, Pontificia Universidad Católica de Chile. [Abstract] [Slides] 

• [Dec 11, 2023] On Some Isoperimetric Inequalities Involving Nonlocal Operators. Franco Olivares. Calculus of Variations and PDE Seminar, Universidad de O'Higgins. [Slides]

Articles

• Kalayanamit, P. (2024). Sobolev regularity of the inverse for minimizers of the neo-Hookean energy satisfying condition INV. arXiv:2405.12156 [math.AP]

• Barchiesi, M., Henao, D., Mora-Corral, C., Rodiac, R. (2024). On the lack of compactness in the axisymmetric neo-Hookean model. Forum of Mathematics, Sigma; 12:e26

• Barchiesi, M., Henao, D., Mora-Corral, C., Rodiac, R. (2023). Harmonic dipoles and the relaxation of the neo-Hookean energy in 3D elasticity. Arch Rational Mech Anal 247, 70.

• Xu, X., Calderer, M.C., Doi, M., and Henao, D. (2020). Debonding waves in gel thin films.  Proc. R. Soc. A. 476: 20200001.

• Henao, D., Mora-Corral, C. & Oliva, M. (2021). Global invertibility of Sobolev maps. Advances in Calculus of Variations, 14(2), 207-230. 

• Henao, D., Stroffolini, B. (2020). Orlicz–Sobolev nematic elastomers. Nonlinear Analysis 194,111513.

• Cañulef-Aguilar, V., Henao, D. (2020). Hölder estimates for the Neumann problem in a domain with holes and a relation formula between the Dirichlet and Neumann problems. Houston Journal of Mathematics, 46(4), 973-1004. 

• Cañulef-Aguilar, V., Henao, D. (2019). A lower bound for the void coalescence load in nonlinearly elastic solids. Interfaces Free Bound. 21(4): 409–440.

• Henao, D., Rodiac, R. (2018). On the existence of minimizers for the neo-Hookean energy in the axisymmetric setting. Discrete and Continuous Dynamical Systems 38(9): 4509-4536.

• Barchiesi, M., Henao, D. & Mora-Corral, C. (2017). Local Invertibility in Sobolev Spaces with Applications to Nematic Elastomers and Magnetoelasticity. Arch Rational Mech Anal 224, 743–816.

Talks

• [June 11, 2024] Harmonic dipoles in nonlinear elasticity. Duvan Henao. Geometric And Variational Analysis, In Memory of Jan Malỳ, Będlewo, Poland [Abstract] [Slides]

• [May 19, 2024] Relaxation of the Neo-Hookean Energy in Three Dimensions. Duvan Henao. Interaction of Solid Mechanics and Mathematics: Modelling, Analysis and Applications, SIAM Conference on Mathematical Aspects of Materials Science. [Slides]

• [Apr 25, 2024]. Minimising the neo-Hookean energy without cavitation. Panas Kalayanamit. XXXVI Jornada de Matemática de la Zona Sur (JMZS 2024). Universidad Católica de Temuco (UCT) [Abstract] [Slides] 

• [Apr 17, 2024] Jacobian determinants and degree theory in nonlinear elasticity and its applications. Duvan Henao. International Conference on Mathematical Analysis and its Applications, Hong Kong Institute for Advanced Study. [Abstract] [Slides]

• [Jan 26, 2024] Singular minimizers in nonlinear elasticity. Duvan Henao. Colloquim of the Department of Mathematics & Statistics, McMaster University. [Abstract] [Slides]

• [Dec 20, 2023] Poroelastic plate model obtained by simultaneous homogenization and dimension reduction, Pedro Hernández-Llanos. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract] 

• [Dec 18, 2023] A relaxation approach to the minimisation of the neo-Hookean energy in 3D. Duvan Henao. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract]  [Slides] 

• [Aug 20-24, 2023] Harmonic dipoles in elasticity. Duvan Henao. 10th International Congress on Industrial and Applied Mathematics, Waseda University, Tokyo [Abstract]

• [Jul 10-14, 2023] Singular minimizers in nonlinear elasticity. Duvan Henao. CIME School Variational and PDE Methods in Nonlinear Science, Cetraro. [Abstract and Slides]

• [May 23, 2023] Dipolos armónicos en elasticidad. Seminario de Análisis y Geometría, Duvan Henao Facultad de Matemáticas, Pontificia Universidad Católica de Chile.

• [Apr 20, 2023] Harmonic dipoles in elasticity. Duvan Henao. Sesión de Ecuaciones diferenciales, XXXV Jornada de la Matemática de la Zona Sur.

• [Apr 3, 2023] Harmonic dipoles in elasticity. Duvan Henao. Compensated Compactness and Applications to Materials, Banff. [Abstract] [Talk recording] [Slides]

• [Jan 26, 2023] Harmonic dipoles in elasticity.Duvan Henao. Séminaire d'Analyse numérique et EDP, Institut de Mathématique d'Orsay. [Abstract] [Slides]

• [Dec 8, 2022] Harmonic dipoles in elasticity. Sesión de Análisis y ecuaciones diferenciales. Duvan Henao. XC Encuentro de la Sociedad de Matemática de Chile, Punta de Tralca. [Abstract]

• [Jun 8,2022] Harmonic dipoles in elasticity. Duvan Henao. Seminario Departamento de Matemática y Estadística, Universidad de la Frontera, Temuco.

• [May 18, 2022] Harmonic dipoles in elasticity. Duvan Henao. Coloquio de Matemáticas (online), Departamento de Matemáticas, Universidad de Concepción. [Talk recording] [Slides] 

• [May 12, 2022] Singularidades en el cálculo de variaciones para materiales elásticos. Duvan Henao. Seminar of the Institute for Engineering Sciences, Universidad de O’Higgins. [Talk recording] [Slides]

• [May 17-28, 2021] Borderline existence problems for nematic elastomers and neoHookean materials. Duvan Henao. SIAM Conference on Mathematical Aspects of Materials Science, Bilbao (online). [Slides]

• [May 17-28, 2021] Lower bound for the void coalescence load in nonlinearly elastic solids. Duvan Henao. SIAM Conference on Mathematical Aspects of Materials Science, Bilbao (online). [Slides]

• [Apr 12, 2021] Problemas variacionales no convexos en elasticidad no lineal y mecánica de fracturas, Duvan Henao. Seminario Internacional de Postgrado en Cálculo de Variaciones (online), Universidad de los Andes, Bogotá. [Slides]

• [Aug 17, 2020] Global invertibility in Sobolev Spaces. Duvan Henao. Seminario de Análisis y Geometría, Pontificia Universidad Católica de Chile. [Slides]

• [Jan 15, 2020] Singularidades en el cálculo de variaciones. Duvan Henao. Coloquio del Departamento de Matemática y Estadística, Universidad de la Frontera. [Slides]

Articles

• Barrios, B., Carrero, L., Quaas, A. (2024). Periodic fractional Ambrosetti-Prodi for one-dimensional problem with drift. Nonlinear Analysis 245: 1-19. 

Talks

• [Apr 10, 2024] On a class of quasilinear fractional operators. Lisbeth Carrero. Calculus of Variations and PDE Seminar, Universidad de O'Higgins. [Slides] 

• [Dec 21, 2023] Periodic solutions for one-dimensional nonlinear nonlocal problem with drift, including singular nonlinearities. Lisbeth Carrero. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract]

Articles

• Lamy, X., Zuniga, A. (2022). On the Stability of Radial Solutions to an Anisotropic Ginzburg--Landau Equation.  SIAM J. Math. Anal. 54(1): 723-736. 

• Henao, D., Stroffolini, B. (2020). Orlicz–Sobolev nematic elastomers. Nonlinear Analysis 194,111513.

• Barchiesi, M., Henao, D. & Mora-Corral, C. (2017). Local Invertibility in Sobolev Spaces with Applications to Nematic Elastomers and Magnetoelasticity. Arch Rational Mech Anal 224, 743–816.

• Henao, D., Majumdar, A. & Pisante, A. (2017). Uniaxial versus biaxial character of nematic equilibria in three dimensions. Calc. Var. 56, 55. 

Talks

• [Apr 25, 2024]. Stability of degree-one solutions to an anisotropic Ginzburg-Landau equation. Andres Zuniga. XXXVI Jornada de Matemática de la Zona Sur (JMZS 2024). Universidad Católica de Temuco (UCT) [Abstract] [Slides] 

• [Apr 4, 2024]. Stability analysis of entire radial solutions to an anisotropic Ginzburg-Landau equation. Andres Zuniga. Workshop Nonlinear Analysis: Geometric, Variational and Dispersive aspects. Centro de Modelamiento Matemático (CMM) , Universidad de Chile. [Abstract] [Slides] 

Talks

• [Dec 20, 2023] Rectifiability of the set of minimizers for a perturbed quasiconvex integral. Panas Kalayanamit. XCI Encuentro Anual de la Sociedad de Matemática de Chile, Universidad de Chile. [Abstract]