Juan Dávila

4.4k total citations · 2 hit papers
87 papers, 2.9k citations indexed

About

Juan Dávila is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Juan Dávila has authored 87 papers receiving a total of 2.9k indexed citations (citations by other indexed papers that have themselves been cited), including 67 papers in Applied Mathematics, 49 papers in Computational Theory and Mathematics and 23 papers in Mathematical Physics. Recurrent topics in Juan Dávila's work include Nonlinear Partial Differential Equations (60 papers), Advanced Mathematical Modeling in Engineering (47 papers) and Nonlinear Differential Equations Analysis (14 papers). Juan Dávila is often cited by papers focused on Nonlinear Partial Differential Equations (60 papers), Advanced Mathematical Modeling in Engineering (47 papers) and Nonlinear Differential Equations Analysis (14 papers). Juan Dávila collaborates with scholars based in Chile, France and United Kingdom. Juan Dávila's co-authors include Alfonso M. Gañán‐Calvo, Antonio Barrero, Manuel del Pino, Juncheng Wei, Louis Dupaigne, Salomé Martínez, Jérôme Coville, Marcelo Montenegro, Yannick Sire and J. C. R. Hunt and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Journal of Fluid Mechanics.

In The Last Decade

Juan Dávila

84 papers receiving 2.7k citations

Hit Papers

Current and droplet size in the electrospraying of liquid... 1997 2026 2006 2016 1997 2013 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Current and droplet size in the electrospraying of liquids. Scaling laws
    1997 665 citations Juan Dávila et al. profile →
  2. Concentrating standing waves for the fractional nonlinear Schrödinger equation
    2013 153 citations Juan Dávila, Manuel del Pino et al. Journal of Differential Equations profile →

Peers

Juan Dávila
Marco A. Fontelos Spain
H. Gajewski Germany
Zhengyang Zhao United States
Andrew Lacey United Kingdom
Jan Bouwe van den Berg Netherlands
A. B. Tayler Slovakia
Ben‐yu Guo China
Mitchell Luskin United States
Gershon Wolansky Israel
Changjiang Zhu China
Marco A. Fontelos Spain
Juan Dávila
Citations per year, relative to Juan Dávila Juan Dávila (= 1×) peers Marco A. Fontelos

Countries citing papers authored by Juan Dávila

Since Specialization
Citations

This map shows the geographic impact of Juan Dávila's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Juan Dávila with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Juan Dávila more than expected).

Fields of papers citing papers by Juan Dávila

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Juan Dávila. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Juan Dávila. The network helps show where Juan Dávila may publish in the future.

Co-authorship network of co-authors of Juan Dávila

This figure shows the co-authorship network connecting the top 25 collaborators of Juan Dávila. A scholar is included among the top collaborators of Juan Dávila based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Juan Dávila. Juan Dávila is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Ao, Weiwei, Juan Dávila, Manuel del Pino, Monica Musso, & Juncheng Wei. (2021). Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. Transactions of the American Mathematical Society. 374(9). 6665–6689. 25 indexed citations
2.
Dávila, Juan, et al.. (2017). New type of solutions to a slightly subcritical Hénon type problem on general domains. Journal of Differential Equations. 263(11). 7221–7249. 9 indexed citations
3.
Dávila, Juan, et al.. (2014). Partial regularity for a liouville system. Americanae (AECID Library). 20 indexed citations
4.
Wei, Juncheng, Juan Dávila, & Kelei Wang. (2014). Qualitative analysis of rupture solutions for a MEMS problem. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 33(1). 221–242. 10 indexed citations
5.
Dávila, Juan, Angela Pistoia, & Giusi Vaira. (2014). Bubbling solutions for supercritical problems on manifolds. Journal de Mathématiques Pures et Appliquées. 103(6). 1410–1440. 9 indexed citations
6.
Clerc, Marcel G., Estefania Vidal-Henriquez, Juan Dávila, & Michał Kowalczyk. (2014). Symmetry breaking of nematic umbilical defects through an amplitude equation. Physical Review E. 90(1). 12507–12507. 19 indexed citations
7.
Dávila, Juan & Dong Ye. (2013). On finite Morse index solutions of two equations with negative exponent. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 143(1). 121–128. 8 indexed citations
8.
Dávila, Juan, et al.. (2013). Regular solutions to a supercritical elliptic problem in exterior domains. Journal of Differential Equations. 255(4). 701–727. 2 indexed citations
9.
Dávila, Juan, Manuel del Pino, & Juncheng Wei. (2013). Concentrating standing waves for the fractional nonlinear Schrödinger equation. Journal of Differential Equations. 256(2). 858–892. 153 indexed citations breakdown →
10.
Dávila, Juan & Marcelo Montenegro. (2012). Concentration for an elliptic equation with singular nonlinearity. Journal de Mathématiques Pures et Appliquées. 97(6). 545–578. 14 indexed citations
11.
Dávila, Juan & Marcelo Montenegro. (2010). Remarks on positive and free boundary solutions to a singular equation. SHILAP Revista de lepidopterología. 1 indexed citations
12.
Dávila, Juan, et al.. (2009). Multiplicity of solutions for a fourth order problem with exponential nonlinearity. Journal of Differential Equations. 247(11). 3136–3162. 11 indexed citations
13.
Dávila, Juan, Manuel del Pino, Monica Musso, & Juncheng Wei. (2007). Standing waves for supercritical nonlinear Schrödinger equations. Journal of Differential Equations. 236(1). 164–198. 26 indexed citations
14.
Dávila, Juan, Louis Dupaigne, Ignacio Guerra, & Marcelo Montenegro. (2007). Stable Solutions for the Bilaplacian with Exponential Nonlinearity. SIAM Journal on Mathematical Analysis. 39(2). 565–592. 36 indexed citations
15.
Dávila, Juan, Manuel del Pino, & Monica Musso. (2005). Concentrating solutions in a two-dimensional elliptic problem with exponential Neumann data. Journal of Functional Analysis. 227(2). 430–490. 21 indexed citations
16.
Dávila, Juan & Julio D. Rossi. (2004). Self-similar solutions of the porous medium equation in a half-space with a nonlinear boundary condition: existence and symmetry. Journal of Mathematical Analysis and Applications. 296(2). 634–649. 4 indexed citations
17.
Dávila, Juan & Marcelo Montenegro. (2003). A singular equation with positive and free boundary solutions. Hispana. 97(1). 107–112. 3 indexed citations
18.
Dávila, Juan & Radu Ignat. (2003). Lifting of BV functions with values in S1. Comptes Rendus Mathématique. 337(3). 159–164. 24 indexed citations
19.
Dávila, Juan & J. C. Vassilicos. (2003). Richardson’s Pair Diffusion and the Stagnation Point Structure of Turbulence. Physical Review Letters. 91(14). 144501–144501. 52 indexed citations
20.
Dávila, Juan. (2001). A Strong Maximum Principle for the Laplace Equation with Mixed Boundary Condition. Journal of Functional Analysis. 183(1). 231–244. 14 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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