PhD in Mathematics, Université Paris XII, France (2005)
Master in Numerical Analysis and Partial Differential Equations, Université Pierre et Marie Curie, France (2001)

Institution
Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CMM)
Facultad de Ciencias Físicas y Matemáticas
Universidad de Chile

Position
Professor

Research area
Geometric Analysis, Nonlinear Partial Differential Equations, Differential Geometry, Riemannian Geometry.

Ph D in Engineering Mathematical Sciences, Technische Universiteit Eindhoven, Holland (2003)
Civil Mathematical Engineering, Universidad de Chile (1998)

PhD in Engineering Sciences with specialization in Mathematical Modeling, Universidad de Chile University of Pisa, USA (1998)
Bachelor degree in Education with specialization in Mathematics, Universidad de Chile

Institution Universidad Técnico Federico Santa María

PhD in Mathematics, Rutgers University, United Kingdom (2002)
Civil Engineering in Mathematics, Universidad de Chile (1996)

Affiliation Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CMM)
Facultad de Ciencias Físicas y Matemáticas
Universidad de Chile

Position
Professor

Research Area Nonlinear Analysis

Contact
jdavila@dim.uchile.cl
+56 2 2978 4900
address: Beauchef 851, North Building, office 524, 5th floor, Santiago , Chile

Preprints

Juan Dávila, Manuel del Pino, Xuan Hien Nguyen, Finite topology self-translating surfaces for the mean curvature flow in R3. 2015. (arxiv)

Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci, Nonlocal Delaunay surfaces. 2015. (arxiv)

Juan Dávila, Manuel del Pino, Juncheng Wei, Nonlocal s-minimal surfaces and Lawson cones. 2014. (arxiv)

Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci, Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. 2014. (arxiv)

Juan Dávila, Louis Dupaigne, Juncheng Wei, On the fractional Lane-Emden equation. 2014. (arxiv)

Juan Dávila, Luis López Ríos, Yannick Sire, Bubbling solutions for nonlocal elliptic problems. 2014. (arxiv)

Publications

Juan Dávila, Angela Pistoia, Giusi Vaira, Bubbling solutions for supercritical problems on manifolds. J. Math. Pures Appl. (9) 103 (2015), no. 6, 1410–1440. PDF

B. Abdellaoui, K. Biroud, J. Davila, F. Mahmoudi, Nonlinear elliptic problem related to the Hardy inequality with singular term at the boundary. Commun. Contemp. Math. 17 (2015), no. 3, 1450033, 28 pp. PDF

Juan Dávila, Louis Dupaigne, Kelei Wang, Juncheng Wei, A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem. Adv. Math. 258 (2014), 240–285. PDF

Juan Dávila, Olivier Goubet, Partial regularity for a Liouville system. Discrete Contin. Dyn. Syst. 34 (2014), no. 6, 2495–2503. PDF

Juan Dávila, Manuel del Pino, Juncheng Wei, Concentrating standing waves for the fractional nonlinear Schrödinger equation. J. Differential Equations 256 (2014), no. 2, 858–892.

Juan Dávila, Manuel del Pino, Yannick Sire, Nondegeneracy of the bubble in the critical case for nonlocal equations. Proc. Amer. Math. Soc. 141 (2013), no. 11, 3865–3870.

Juan Dávila, Isabel Flores, Ignacio Guerra, Multiplicity and singular solutions for a Liouville-type system in a ball. Adv. Differential Equations 18 (2013), no. 9-10, 797–824.

Wenjing Chen, Juan Dávila, Resonance phenomenon for a Gelfand-type problem. Nonlinear Anal. 89 (2013), 299–321.

Juan Dávila, Manuel del Pino, Xuan Hien Nguyen, Finite topology self-translating surfaces for the mean curvature flow in R3. 2015. (arxiv)

Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci, Nonlocal Delaunay surfaces. 2015. (arxiv)

Juan Dávila, Manuel del Pino, Juncheng Wei, Nonlocal s-minimal surfaces and Lawson cones. 2014. (arxiv)

Juan Dávila, Manuel del Pino, Serena Dipierro, Enrico Valdinoci, Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum. 2014. (arxiv)

Juan Dávila, Louis Dupaigne, Juncheng Wei, On the fractional Lane-Emden equation. 2014. (arxiv)

Juan Dávila, Luis López Ríos, Yannick Sire, Bubbling solutions for nonlocal elliptic problems. 2014. (arxiv)

PhD in Applied Mathematics, Université Paris IX Dauphine, France
PhD in Mathematical Modeling, Universidad de Chile
Mathematical Engineering, Universidad de Chile

Institution Universidad Técnica Fedederico Santa María

PhD in Mathematics, University of Minnesota, USA (1992)
Civil Engineering in Mathematics, Universidad de Chile (1987)

Institution Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (CMM)
Facultad de Ciencias Físicas y Matemáticas
Universidad de Chile

Position
Professor

Research area
Nonlinear Analysis

Research interests
Construction and analysis of asymptotic behavior of solutions to nonlinear elliptic and parabolic problems. My research area is nonlinear partial differential equations. I am mostly interested in the construction of solutions to elliptic and parabolic equations, and in the analysis of their asymptotic behavior, in which patterns in the form of singular limits take place.

More than four hundred school students enjoyed seeing “Primos entre sí”, an amusing and ingenious theater play that seeks to awake the interest in Mathematics. The event was held in Pontificia Universidad Católica (Santiago) and in Universidad Técnica Federico Santa María (Valparaíso) on 5^{th} August and 31 ^{th }December respectively. It was organized by Capde Millenium Nucleus Center for the Analysis of Partial Differential Equations as part of its outreach activities.

“We aim to encourage young people to approach to science, which often is not an easy task”, remarked Alexander Quaas, Capde researcher. The comedy represents daily situations through the sharp dialogues of a couple.

“The performance was very realistic. The attitude of the mathematician while lecturing was very appropriately depicted”, said Manuel del Pino, main Capde researcher.

The play highlights the importance of mathematics nowadays. For instance, the strong influence that the information theory developed by Claude Shannon has on technology . “Students understood the ideas very well. In classrooms sometimes it is more difficult to explain and to keep their attention”, stated José Peña Godoy, teacher at Benjamín Vicuña Mackenna, one of the eight schools that attended the event.

The screenplay was an adaptation of the one of the same name written by Omar Gil, mathematician from Universidad de la República in Uruguay who also studied theater. His first article came on the occasion of the World Championship in 2006 came under the name ”Mathematically, we have chance”: “I was unsatisfied with the result. So, I wrote to proof why Uruguay had to be classified”.

The main point of this version is the exchange roles: she is the mathematician, instead of his cousin. Thus, it is intended to stress the women´s talent for science. After the play in Santiago, Gil, who has already performed the play for more than 20 times, met Estefanía Aedo, director of this adaptation. They both talked about teaching strategies that could be included in future shows of “Primos entre sí”. “We want to open the theater to all the society, including those who have fewer opportunities to access this kind of art”, pointed out Aedo.