Fethi Mahmoudi

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.

Contact
fmahmoudi@dim.uchile.cl
+56 2 2978 0512
Beauchef 851, North Building, 7th floor, office 707. Santiago, Chile.

Mónica Musso

PhD in Mathematics, University of Pisa, Italy (1998)
Bachelor degree in Mathematics, University of Torino, Italy (1992)

Institution
Pontificia Universidad Católica de Chile

Position
Assistant professor

Research area
Nonlinear Analysis

Contact
mmusso@mat.puc.cl
+562 2354 5816
Vicuña Mackenna 4860. Santiago, Chile

Ignacio Guerra

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

Institution
Universidad Santiago de Chile

Position
Associated Professor

Research area
Partial Differential Equations

Contact
ignacio.guerra@usach.cl
+56 2 271 82055
Las Sophoras 173, Santiago, Chile

Salomón Alarcón

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

Position
Professor

Research area

Contact
salomon.alarcon@gmail.com
+56 3 2265 4487
Avenida España 1680. Valparaíso, Chile

 

Juan Dávila

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

  • 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)

Alexander Quaas

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

Position
Professor

Research Area
Nonlinear Analysis

Contact
alexander.quaas@usm.cl
+56 32 265 4489
España 1680, Casilla 110, Valparaíso, Chile

Manuel del Pino

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.

Contact
delpino@dim.uchile.cl
+56 2 2978 4660
Beauchef 851, North Building, 5th floor, office 525. Santiago, Chile

Awards
Premio Nacional de Ciencias Exactas, Chile – 2013

Fethi Mahmoudi

F. Mahmoudi, N. Nouaili, and Hatem Zaag, Constructin of a stable
periodic solution to a semilinear heat equation with a prescribed profile. pdf

S. Deng, F. Mahmoudi and M. Musso. Bubbling on boundary submanifolds
for a semilinear Neumann problem near high critical exponents. pdf

 

Theater play sponsored by Capde have a large school student audience

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 5th 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.

"Primos entre sí", played in Santiago and Valparaíso, encourages high school students tobe interested in mathematics.
“Primos entre sí”, played in Santiago and Valparaíso, encourages high school students tobe interested in mathematics.

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.