Xavier Ros‐Oton

2.8k total citations · 1 hit paper
45 papers, 1.4k citations indexed

About

Xavier Ros‐Oton is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Xavier Ros‐Oton has authored 45 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Applied Mathematics, 35 papers in Computational Theory and Mathematics and 13 papers in Mathematical Physics. Recurrent topics in Xavier Ros‐Oton's work include Nonlinear Partial Differential Equations (34 papers), Advanced Mathematical Modeling in Engineering (34 papers) and Nonlinear Differential Equations Analysis (10 papers). Xavier Ros‐Oton is often cited by papers focused on Nonlinear Partial Differential Equations (34 papers), Advanced Mathematical Modeling in Engineering (34 papers) and Nonlinear Differential Equations Analysis (10 papers). Xavier Ros‐Oton collaborates with scholars based in Spain, United States and Switzerland. Xavier Ros‐Oton's co-authors include Joaquim Serra, Xavier Cabré, Xavier Fernández‐Real, Josep M. Olm, Enrico Valdinoci, Luis Caffarelli, Alessio Figalli, Nicola Abatangelo, Yuri Shtessel and Serena Dipierro and has published in prestigious journals such as Automatica, Communications on Pure and Applied Mathematics and Lecture notes in mathematics.

In The Last Decade

Xavier Ros‐Oton

40 papers receiving 1.3k 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
Xavier Ros‐Oton Spain 18 1.2k 902 531 135 130 45 1.4k
Manuel Elgueta Chile 14 763 0.6× 538 0.6× 243 0.5× 197 1.5× 105 0.8× 36 904
Carmen Cortázar Chile 16 660 0.6× 458 0.5× 237 0.4× 146 1.1× 109 0.8× 48 801
Biagio Ricceri Italy 15 1.4k 1.2× 1.0k 1.1× 277 0.5× 288 2.1× 176 1.4× 61 1.5k
Dimitri Mugnai Italy 16 1.2k 1.0× 962 1.1× 753 1.4× 103 0.8× 177 1.4× 68 1.4k
Sergiu Aizicovici United States 19 868 0.7× 594 0.7× 194 0.4× 245 1.8× 352 2.7× 74 1.1k
Noemí Wolanski Argentina 17 753 0.6× 595 0.7× 250 0.5× 241 1.8× 162 1.2× 45 939
J. Toledo Spain 16 523 0.4× 440 0.5× 240 0.5× 76 0.6× 111 0.9× 42 672
Kanishka Perera United States 24 2.6k 2.2× 2.0k 2.2× 689 1.3× 331 2.5× 378 2.9× 121 2.7k
Angelo Alvino Italy 17 1.0k 0.9× 750 0.8× 516 1.0× 70 0.5× 59 0.5× 47 1.1k

Countries citing papers authored by Xavier Ros‐Oton

Since Specialization
Citations

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

Fields of papers citing papers by Xavier Ros‐Oton

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Xavier Ros‐Oton. 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 Xavier Ros‐Oton. The network helps show where Xavier Ros‐Oton may publish in the future.

Co-authorship network of co-authors of Xavier Ros‐Oton

This figure shows the co-authorship network connecting the top 25 collaborators of Xavier Ros‐Oton. A scholar is included among the top collaborators of Xavier Ros‐Oton 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 Xavier Ros‐Oton. Xavier Ros‐Oton 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.
Ros‐Oton, Xavier, et al.. (2025). Improvement of flatness for nonlocal free boundary problems. Journal of the European Mathematical Society.
2.
Ros‐Oton, Xavier, et al.. (2025). L estimates for the Laplacian via blow-up. Journal of Differential Equations. 441. 113478–113478. 1 indexed citations
3.
Jin, Tianling, Xavier Ros‐Oton, & Jingang Xiong. (2024). Optimal regularity and fine asymptotics for the porous medium equation in bounded domains. Journal für die reine und angewandte Mathematik (Crelles Journal). 0(0). 1 indexed citations
4.
Albalate, Daniel, et al.. (2024). Paying for protection: bilateral trade with an alliance leader and defense spending of minor partners. Journal of Economic Behavior & Organization. 223. 234–247.
5.
Fernández‐Real, Xavier & Xavier Ros‐Oton. (2024). Integro-Differential Elliptic Equations. arXiv (Cornell University). 13 indexed citations
6.
Fernández‐Real, Xavier & Xavier Ros‐Oton. (2024). Schauder and Cordes–Nirenberg estimates for nonlocal elliptic equations with singular kernels. Proceedings of the London Mathematical Society. 129(3).
7.
Ros‐Oton, Xavier, et al.. (2021). New boundary Harnack inequalities with right hand side. Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona). 13 indexed citations
8.
Philippis, Guido De, Xavier Ros‐Oton, & Georg S. Weiss. (2021). Geometric Measure Theory and Free Boundary Problems. Lecture notes in mathematics. 1 indexed citations
9.
Abatangelo, Nicola & Xavier Ros‐Oton. (2020). Obstacle problems for integro-differential operators: Higher regularity of free boundaries. Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna). 21 indexed citations
10.
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
11.
Garofalo, Nicola & Xavier Ros‐Oton. (2019). Structure and regularity of the singular set in the obstacle problem for the fractional Laplacian. Research Padua Archive (University of Padua). 10 indexed citations
12.
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
13.
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
14.
Fernández‐Real, Xavier & Xavier Ros‐Oton. (2017). The obstacle problem for the fractional Laplacian with critical drift. Mathematische Annalen. 371(3-4). 1683–1735. 10 indexed citations
15.
Figalli, Alessio, et al.. (2017). On the regularity of the free boundary in the p-Laplacian obstacle problem. Journal of Differential Equations. 263(3). 1931–1945. 5 indexed citations
16.
Sire, Yannick, et al.. (2016). A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 34(2). 469–482. 10 indexed citations
17.
Ros‐Oton, Xavier. (2016). Nonlocal elliptic equations in bounded domains. Publicacions Matemàtiques. 60(1). 3–26. 1 indexed citations
18.
Cabré, Xavier, Xavier Ros‐Oton, & Joaquim Serra. (2016). Sharp isoperimetric inequalities via the ABP. QRU Quaderns de Recerca en Urbanisme. 49 indexed citations
19.
Cabré, Xavier & Xavier Ros‐Oton. (2013). Sobolev and isoperimetric inequalities with monomial weights. QRU Quaderns de Recerca en Urbanisme. 55 indexed citations
20.
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 →

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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Manuel Elgueta Breakdown of academic impact, for papers by Carmen Cortázar Breakdown of academic impact, for papers by Biagio Ricceri Breakdown of academic impact, for papers by Dimitri Mugnai Breakdown of academic impact, for papers by Sergiu Aizicovici Breakdown of academic impact, for papers by Noemí Wolanski Breakdown of academic impact, for papers by J. Toledo Breakdown of academic impact, for papers by Kanishka Perera Breakdown of academic impact, for papers by Angelo Alvino
Rankless by CCL
2026