[Sept 04, 2025; 10:15hrs]. Nonexistence of positive supersolutions for semilinear fractional elliptic equations in exterior domains. Reshmi Biswas (Universidad Técnica Federico Santa María). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Zoom Link]
[Aug 18, 2025; 11:00hrs]. Métodos topológicos para un problema de autovalores. Lorena Soriano Hernández (Universidade de São Paulo). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Zoom Link] [Slides]
[Aug 1, 2025] Las matemáticas detrás del fallo de prótesis médicas por desprendimiento de su revestimiento de hidrogel. Duvan Henao. Seminario de Investigación Matemática y Aplicaciones, (online presentation), Facultad de Ciencias Naturales y Matemáticas, Escuela Politécnica del Litoral, Guayaquil, Ecuador [Abstract]
[July 21–25, 2025]. Variational Problems of Physical Origin, session at the Mathematical Congress of the Americas 2025. Department of Mathematics, University of Miami.
Organizers: Duvan Henao and Robert Jerrard
Andrés Contreras (New Mexico State University) Local minimizers with unbounded vorticity in 2d Ginzburg-Landau
Tiziana Giorgi (University of Alabama) Analysis and simulation of cholesteric and twist bend nematic liquid crystals.
Pedro Hernández-Llanos (Universidad de O'Higgins) Poroelastic plate model obtained by simultaneous homogenization and dimension reduction
Marta Lewicka (University of Pittsburgh) The Monge-Ampere system in dimension two is fully flexible in codimension two
Andrew Lorent (University of Cincinnati) Non-Elliptic differential inclusions and Aviles Giga
Rajesh Mahadevan (Universidad de Concepción) Shape sensitivity analysis for a liquid crystal model
Lidia Mrad (Mount Holyoke College) Constrained Energy Minimization for a Bent-Core Liquid Crystal Model
David Padilla-Garza (Hebrew University of Jerusalem) Energy scaling laws for thin elastic sheets with defects
Guanying Peng (Worcester Polytechnic Institute) A regularizing property of the 2D Eikonal equation
Carlos Román (Pontificia Universidad Católica de Chile) Domain Branching in Micromagnetism
Ivan Salgado (University of Toronto) Approximate solutions to the superconducting interface model
Ihsan Topaloglu (Virginia Commonwealth University) Perimeter regularization of attractive-repulsive nonlocal energies
Xiaodong Yan (University of Connecticut) Layer and stable solutions to a nonlocal model
Andres Zuniga (Universidad de O’Higgins) Stability of tetrahedral frame-field ground states for a tensor-valued relaxed variational model
[July 22, 2025]. Singularities in real life nonlinearly elliptic and in Legendre-Hadamard elliptic PDE. Duvan Henao. Session 28 - Recent trends in nonlinear elliptic PDEs at the Mathematical Congress of the Americas 2025. Department of Mathematics, University of Miami.
[July 17, 2025; 13:00hrs]. Maximal Regularity and Non-local Operators in Discrete Besov Spaces. Alejandro Mahillo Cazorla (Universidad de Zaragoza). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Zoom Link]
[June 12, 2025; 13:00hrs]. Decay for massless Vlasov fields on Schwarzschild spacetimes - A Hamiltonian approach. Renato Velozo (University of Toronto) CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Zoom Link]
[May 29, 2025]. A relaxation approach to the minimisation of the neo-Hookean energy in 3D. Duvan Henao. VII Taller de Análisis no Lineal y Ecuaciones Diferenciales Parciales, Universidad Tecnológica de Pereira. [Slides]
[May 27, 2025]. Synergies between analysis, geometry, mechanics, and topology in nonlinear elasticity theory. Duvan Henao. Coloquio del Departamento de Matemáticas, Universidad Nacional de Colombia - Bogotá.
[May 22, 2025; 13:00hrs]. Regularity of deformations that minimise the neo-Hookean energy. Panas Kalayanamit. CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Zoom Link] [Slides]
[Apr 17, 2025; 13:00hrs]. Semigrupo de operadores y funciones completamente monótonas. Juan Carlos Pozo. CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Zoom Link]
[Apr 8, 2025] NeoHookean energies, cavitation, and relaxation in nonlinear elasticity. Duvan Henao. International Prague seminar on function spaces (virtual seminar), Charles University [Abstract]
[Jan 29, 2025; 11:00hrs]. Desigualdades tipo Hardy-Sobolev y ecuaciones cuasi-lineales con pesos. Hernán Castro (Inst. Mat, Universidad de Talca) CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract]
[Jan 22, 2025] Synergies between analysis, geometry, mechanics, and topology in nonlinear elasticity theory. Duvan Henao. Jack Carr Memorial Lecture, International Centre for Mathematical Sciences, Edinburgh [Abstract] [Slides]
[Jan 15, 2025] Swelling-induced debonding of polymer gels. Duvan Henao. Heriot-Watt Analysis Seminar, Edinburgh [Abstract] [Slides]
[Dec 10-13, 2024]. Sesión Especial S01 Análisis Geométrico.
XCII Encuentro Anual Sociedad de Matemática de Chile (SOMACHI). Facultad de Ciencias. Universidad Austral de Chile (UACh)
Organizers: Nikola Kamburov and Andres Zuniga.
Mariel Sáez-Trumper (PUC): Classification of semigraphical translators.
Rayssa Caju (DIM-CMM): An end-to-end construction for the Q-curvature equation.
Duvan Henao Manrique (UOH): Dimension reduction for a gradient damage model in slender rods.
Pablo Figueroa (UACh): Sign-changing solutions for the sinh-Poisson equation with Robin boundary condition.
Reshmi Biswas (USM): On a class of nonlinear elliptic equations in critical dimensions.
Carlos Román (PUC): Sobre el estado Meissner en superconductores inhomogéneos de tipo II.
Andrés Zúñiga (UOH): Pearl necklace-type equilibria in a nonlocal isoperimetric problem.
Nicolás Muñoz León (USM): Un problema de evolución con el infinito Laplaciano fraccionario.
Jorfe Faya (UACh): Concentrating solutions for a biharmonic problem.
Pedro Gaspar (PUC): Solutions of the Allen-Cahn equation on closed manifolds in the presence of symmetry.
María Fernanda Espinal Florez (CMM): Constant sigma2-curvature metrics with non isolated singularities.
Rodolfo Viera (U. La Serena): Soluciones para la ecuación de forma de volumen prescrita en regularidad intermedia.
Pedro Montero (USM): Resultados de concentración para métricas conformes de Q-curvatura constante.
Víctor Valencia Hernández (PUC): Teorema de Frankel en variedades convexas.
Rajesh Mahadevan (UDEC): Shape sensitivity analysis for a liquid crystal model.
[Nov 21-22, 2024] Geometric Analysis Workshop in O'Higgins.
Organizers: Duvan Henao and Andres Zuniga.
Sponsors: Universidad de O'Higgins (UOH)
Participants:
Riccardo Cristoferi (Radboud Universiteit; online): NONLOCAL ATTRACTIVE-REPULSIVE ENERGIES.
Enrico Valdinoci: (U.of Western Australia; online) SHEET HAPPENS (BUT ONLY AS THE ROOT OF 1-S).
Sophie Aiken (UCSC): RECENT PROGRESS ON THE FRACTIONAL YAMABE PROBLEM.
Carolina Rey (USM): EINSTEIN MULTIPLY WARPED PRODUCTS AND GENERALIZED KASNER MANIFOLDS WITH MULTIDIMENSIONAL BASE.
Salomón Alarcón (USM): FENÓMENOS DE CONCENTRACIÓN PARA MÉTRICAS CONFORMES DE Q-CURVATURA CONSTANTE.
María Fernanda Espinal (CMM): ON THE EXISTENCE AND CLASSIFICATION OF K-YAMABE GRADIENT SOLITONS.
Rajesh Mahadevan (UdeC): SHAPE SENSITIVITY ANALYSIS FOR A LIQUID CRYSTAL MODEL.
Nikola Kamburov (PUC): PERIODIC GLOBAL SOLUTIONS TO THE BERNOULLI ONE-PHASE FREE BOUNDARY PROBLEM.
Leonelo Iturriaga (USM): EXISTENCIA Y MULTIPLICIDAD DE SOLUCIONES POSITIVAS PARA UN PROBLEMA CUASILINEAL CON CONDICIONES DE BORDE DIRICHLET NO HOMOGÉNEAS.
Pedro Gaspar (PUC): SOME PROBLEMS IN MEAN CURVATURE FLOW AND ABOUT THE VOLUME SPECTRUM.
Jessica Trespalacios (CMM): SOLITONS DYNAMICS FOR EINSTEIN EQUATIONS.
[Oct 23, 2024; 12:00hrs]. Fundamental solutions for non-local evolution problems. Juan Carlos Pozo (Universidad de Chile) CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Slides]
[Oct 15, 2024] Application of gradient damage models to the study of subsidence in underground mining. Duvan Henao. Mathematical Materials Science: Defects and Polycrystals, International Centre for Mathematical Sciences, Edinburgh [Abstract]
[Sept 24, 2024] 1st Partial Differential Equations Workshop in O'Higgins.
https://eventos.cmm.uchile.cl/pde-uoh-2024/
Organizers: Claudio Muñoz, Ricardo Freire, Duvan Henao and Andres Zuniga.
Sponsors: Universidad de O'Higgins (UOH) and Center for Mathematical Modeling (CMM).
Participants:
Lisbeth Carrero (postdoc UOH): Periodic solutions for one-dimensional nonlinear nonlocal problem with drift.
Panas Kalayanamit (postdoc UOH): My research interests in the Calculus of Variations.
Pedro Hernández (postdoc UOH): Poroelastic plate model obtained by simultaneous homogenization and dimension reduction.
Sesiones de poster alumnos de magíster DIM:
Rodrigo Altamirano.
Benjamin Borquez.
Ricardo Ziegele.
Claudio Muñoz (DIM - CMM): Three interesting directions in PDEs.
Hanne Van den Bosch (DIM - CMM): Física-Matemática y teoría espectral.
Rayssa Caju (DIM - CMM): Large conformal metrics with prescribed Gauss and geodesic curvatures.
Franco Olivares (UOH): On some isoperimetric inequalities in the non-local setting.
Javier Monreal (doctorante DIM): On uniqueness techniques for two non-linear problems.
Juan Pablo Cabeza (doctorante DIM): Unique continuation via regularity theory.
Nicolás Valenzuela (doctorante DIM): Error bounds for Physiscs Informed Neural Networks in nonlinear Schrödinger equations placed on unbounded domains.
Sebastián Flores (doctorante DIM): Conjetura de Landis para operadores elípticos no-locales.
Vicente Salinas (doctorante DIM): The Riemann Zeta in PDEs.
Andrés Zúñiga (UOH): Delaunay-type compact equilibria in the liquid drop model.
Duvan Henao (UOH): Modelo de daños para ensayos de compresión uniaxial.
María Fernanda Espinal (CMM).
Jessica Trespalacios (DIM).
Ricardo Freire (DIM).
[Sept 12, 2024; 13:30hrs]. Delaunay-like compact equilibria in a nonlocal isoperimetric problem. Andres Zuniga. Coloquio de Matemáticas (San Joaquín). Universidad Técnica Federico Santa María. [Abstract]
[Aug 26-30, 2024]. Periodic fractional Ambrosetti-Prodi for one-dimensional problem with drift. Lisbeth Carrero. VII Congreso Latinoamericano y del Caribe de Matemática (CLAM 2024) , Joao Pessoa/PB, Brasil. [Poster]
[Aug 26, 2024; 12:00hrs]. Fundamental tools for solving discretized equations in image segmentation. Franco Olivares. CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract]
[Aug 22, 2024; 12:00hrs]. Large-time behavior of unbounded solutions of viscous Hamilton-Jacobi equations in R^n. Alexander Quaas (Universidad Técnica Federico Santa María). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract]
[July 29, 2024; 11:00hrs]. Asymptotic theory for a general class of short-range interaction functionals. Rajesh Mahadevan (Universidad de Concepción). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract]
[July 10, 2024; 10:20hrs]. Delaunay-like compact equilibria in the liquid drop problem. Manuel del Pino (University of Bath). CalcVar & PDE Seminar, Universidad de O'Higgins [Abstract]
[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 11, 2024] Harmonic dipoles in nonlinear elasticity. Duvan Henao. Geometric And Variational Analysis, In Memory of Jan Malỳ, Będlewo, Poland [Abstract] [Slides]
[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]
[May 29, 2024; 10:20hrs]. A variational PDE approach inspiring an efficient algorithm for data clustering and image segmentation - part I: theoretical aspects. Andres Zuniga. CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract]
[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 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 22, 2024; 15:30hrs]. Hydrodynamic limits and hypocoercivity for kinetic equations with heavy tails. Emeric Bouin (Université Paris Dauphine). CalcVar & PDE Seminar, Universidad de O'Higgins. [Abstract] [Slides]
[Apr 17, 2024]. Stability of degree-one solutions to an anisotropic Ginzburg-Landau equation. Andres Zuniga. Coloquio Departamento de Matemáticas. Universidad de Concepción. [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]
[Apr 10, 2024] On a class of quasilinear fractional operators. Lisbeth Carrero. CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides]
[Apr 8, 2024] Nonlinear diffusions, entropies and stability in functional inequalities. Jean Dolbeault (Université Paris Dauphine). CalcVar & PDE Seminar, Universidad de O'Higgins. [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]
[Jan 26, 2024] Singular minimizers in nonlinear elasticity. Duvan Henao. Colloquium of the Department of Mathematics & Statistics, McMaster University. [Abstract] [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]
[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]
[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]
[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 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]
[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]
[Dec 11, 2023] On Some Isoperimetric Inequalities Involving Nonlocal Operators. Franco Olivares. CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides]
[Nov 27, 2023] Energy-prescribed connecting orbits of gradient systems, Andres Zuniga. CalcVar & PDE Seminar, Universidad de O'Higgins. [Slides]
[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]
[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]
[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]