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.