Joaquim Serra

2.2k total citations · 1 hit paper
27 papers, 1.1k citations indexed

About

Joaquim Serra is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Joaquim Serra has authored 27 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Applied Mathematics, 22 papers in Computational Theory and Mathematics and 9 papers in Mathematical Physics. Recurrent topics in Joaquim Serra's work include Nonlinear Partial Differential Equations (24 papers), Advanced Mathematical Modeling in Engineering (21 papers) and Nonlinear Differential Equations Analysis (7 papers). Joaquim Serra is often cited by papers focused on Nonlinear Partial Differential Equations (24 papers), Advanced Mathematical Modeling in Engineering (21 papers) and Nonlinear Differential Equations Analysis (7 papers). Joaquim Serra collaborates with scholars based in Spain, Switzerland and United States. Joaquim Serra's co-authors include Xavier Ros‐Oton, Xavier Cabré, Luis Caffarelli, Alessio Figalli, Enrico Valdinoci, Serena Dipierro, Stéphane Serfaty and Eleonora Cinti and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Archive for Rational Mechanics and Analysis and Inventiones mathematicae.

In The Last Decade

Joaquim Serra

25 papers receiving 1000 citations

Hit Papers

The Dirichlet problem for the fractional Laplacian: Regul... 2013 2026 2017 2021 2013 100 200 300 400
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. The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
    2013 437 citations Xavier Ros‐Oton, Joaquim Serra Journal de Mathématiques Pures et Appliquées profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Joaquim Serra Spain 15 953 727 427 109 101 27 1.1k
Alexander Quaas Chile 19 1.4k 1.5× 1.1k 1.5× 622 1.5× 110 1.0× 84 0.8× 78 1.6k
Matteo Bonforte Spain 16 658 0.7× 517 0.7× 286 0.7× 92 0.8× 96 1.0× 32 751
Moritz Kaßmann Germany 15 746 0.8× 527 0.7× 459 1.1× 48 0.4× 52 0.5× 38 917
Abdelmoujib Benkirane Morocco 16 945 1.0× 673 0.9× 391 0.9× 44 0.4× 53 0.5× 100 962
Tsung‐fang Wu Taiwan 22 1.7k 1.8× 1.3k 1.8× 628 1.5× 96 0.9× 216 2.1× 103 1.8k
Julián Fernández Bonder Argentina 16 563 0.6× 605 0.8× 255 0.6× 100 0.9× 42 0.4× 72 706
Qihu Zhang China 14 1.3k 1.4× 1.2k 1.6× 278 0.7× 158 1.4× 134 1.3× 43 1.4k
Lorenzo Brasco Italy 16 747 0.8× 610 0.8× 364 0.9× 27 0.2× 44 0.4× 55 841
Atsushi Tachikawa Japan 13 646 0.7× 515 0.7× 250 0.6× 55 0.5× 71 0.7× 38 706
Vasile Staicu Portugal 14 603 0.6× 535 0.7× 169 0.4× 99 0.9× 116 1.1× 73 687

Countries citing papers authored by Joaquim Serra

Since Specialization
Citations

This map shows the geographic impact of Joaquim Serra'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 Joaquim Serra with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Joaquim Serra more than expected).

Fields of papers citing papers by Joaquim Serra

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Joaquim Serra. 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 Joaquim Serra. The network helps show where Joaquim Serra may publish in the future.

Co-authorship network of co-authors of Joaquim Serra

This figure shows the co-authorship network connecting the top 25 collaborators of Joaquim Serra. A scholar is included among the top collaborators of Joaquim Serra 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 Joaquim Serra. Joaquim Serra 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.
Cabré, Xavier, Eleonora Cinti, & Joaquim Serra. (2025). Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime. American Journal of Mathematics. 147(4). 957–1024.
2.
Serra, Joaquim, et al.. (2024). Fractional Sobolev spaces on Riemannian manifolds. Mathematische Annalen. 390(4). 6249–6314. 2 indexed citations
3.
Serra, Joaquim. (2023). Nonlocal minimal surfaces: recent developments, applications, and future directions. SeMA Journal. 81(2). 165–191.
4.
Figalli, Alessio, Xavier Ros‐Oton, & Joaquim Serra. (2023). The singular set in the Stefan problem. Journal of the American Mathematical Society. 37(2). 305–389. 3 indexed citations
5.
Serra, Joaquim, et al.. (2023). Free boundary partial regularity in the thin obstacle problem. Communications on Pure and Applied Mathematics. 77(1). 630–669. 2 indexed citations
6.
Serra, Joaquim, et al.. (2022). Interface regularity for semilinear one-phase problems. Advances in Mathematics. 403. 108380–108380. 2 indexed citations
7.
Dipierro, Serena, Xavier Ros‐Oton, Joaquim Serra, & Enrico Valdinoci. (2022). Non-symmetric stable operators: Regularity theory and integration by parts. Advances in Mathematics. 401. 108321–108321. 22 indexed citations
8.
Cabré, Xavier, Alessio Figalli, Xavier Ros‐Oton, & Joaquim Serra. (2020). Stable solutions to semilinear elliptic equations are smooth up to dimension 9. QRU Quaderns de Recerca en Urbanisme. 35 indexed citations
9.
Cabré, Xavier, Eleonora Cinti, & Joaquim Serra. (2019). Stable s-minimal cones in ℝ3 are flat for s ~ 1. Journal für die reine und angewandte Mathematik (Crelles Journal). 2020(764). 157–180. 9 indexed citations
10.
Ros‐Oton, Xavier & Joaquim Serra. (2018). The Boundary Harnack Principle for Nonlocal Elliptic Operators in Non-divergence Form. Potential Analysis. 51(3). 315–331. 9 indexed citations
11.
Ros‐Oton, Xavier & Joaquim Serra. (2017). Boundary regularity estimates for nonlocal elliptic equations in $$C^1$$ C 1 and $$C^{1,\alpha }$$ C 1 , α domains. Annali di Matematica Pura ed Applicata (1923 -). 196(5). 1637–1668. 21 indexed citations
12.
Ros‐Oton, Xavier, Joaquim Serra, & Enrico Valdinoci. (2017). Pohozaev identities for anisotropic integrodifferential operators. Communications in Partial Differential Equations. 42(8). 1290–1321. 11 indexed citations
13.
Dipierro, Serena, Joaquim Serra, & Enrico Valdinoci. (2016). Nonlocal phase transitions: Rigidity results and anisotropic geometry. TIB Repositorium. 2 indexed citations
14.
Cabré, Xavier, Xavier Ros‐Oton, & Joaquim Serra. (2016). Sharp isoperimetric inequalities via the ABP. QRU Quaderns de Recerca en Urbanisme. 49 indexed citations
15.
Cabré, Xavier & Joaquim Serra. (2016). An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions. Nonlinear Analysis. 137. 246–265. 15 indexed citations
16.
Ros‐Oton, Xavier & Joaquim Serra. (2014). Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities. Communications in Partial Differential Equations. 40(1). 115–133. 34 indexed citations
17.
Ros‐Oton, Xavier & Joaquim Serra. (2013). The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary. Journal de Mathématiques Pures et Appliquées. 101(3). 275–302. 437 indexed citations breakdown →
18.
Serra, Joaquim. (2012). Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities. Journal of Differential Equations. 254(4). 1893–1902. 10 indexed citations
19.
Cabré, Xavier, Xavier Ros‐Oton, & Joaquim Serra. (2012). Euclidean balls solve some isoperimetric problems with nonradial weights. Comptes Rendus Mathématique. 350(21-22). 945–947. 14 indexed citations
20.
Ros‐Oton, Xavier & Joaquim Serra. (2012). Fractional Laplacian: Pohozaev identity and nonexistence results. Comptes Rendus Mathématique. 350(9-10). 505–508. 28 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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