Category Archives: Uncategorized

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

 

Interview to Manuel del Pino, CAPDE researcher,  on the occasion of the annual celebration commemorating  this number. The National Prize of Science 2013 explains the importance of this number that has also serves  as a theme for a surrealist psychological thriller (Pi, directed by Darren Aronofsky in 1998).

Source: LUN

Love, Equations and Geometry

 

“Love, Equations and Geometry “, aimed at the general public, especially young. This idea is the co-realization, by the mathematician and Uruguayan playwright Omar Gil (also an expert in nonlinear PDEs ) and the theater company “La Coraje ” in a play that encourages interest in mathematics by scientific curiosity and appreciation of the beauty of this discipline through human and everyday life topics, through sharp dialogues of a couple. The idea is to adapt, with emphasis on mathematical analysis and geometry, the hit play “Primos entre sí” that has already been performed by this company in Chile . Together with funds from the project and the Center of Mathematical Modeling of Universidad de Chile, we will count with the support of the science awareness program EXPLORA by Conicyt, for the dissemination and logistics necessary during the first and third years of the project.