Xavier Ros‐Oton

2.8k citations
45 papers · 1.4k · 1 hit paper · h-index 18

Impact in

    • Nonlinear Partial Differential Equations
    • Nonlinear Differential Equations Analysis
    • Differential Equations and Boundary Problems
    • Numerical methods in inverse problems
    • Advanced Mathematical Physics Problems

Papers in

    • Nonlinear Partial Differential Equations 34
    • Nonlinear Differential Equations Analysis 10
    • Differential Equations and Boundary Problems 9
    • Advanced Harmonic Analysis Research 5
    • Point processes and geometric inequalities 3
    • Advanced Mathematical Modeling in Engineering 34

Xavier Ros‐Oton

40 papers receiving 1.3k citations

Xavier Ros‐Oton's Hit Papers

The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary 2013 · 437 citations
4370+4+8Years since publication100200300400

Peers

Xavier Ros‐Oton
Comparison fields: 5 of 40
  • Applied Mathematics 1.2k
  • Mathematical Physics 531
  • Computational Theory and Mathematics 902
  • Numerical Analysis 135
  • Modeling and Simulation 113
Replace Joaquim Serra with:
Joaquim Serra Spain
Manuel Elgueta Chile
Noemí Wolanski Argentina
Tsung‐fang Wu Taiwan
Juntao Sun China
Carmen Cortázar Chile
J. Toledo Spain
Mahamadi Warma Puerto Rico
Kanishka Perera United States
J. Chabrowski Australia
Xavier Ros‐Oton relative to Joaquim Serra Spain Joaquim Serra's profile →
Citations per field
00.5×
Joaquim Serra · 1×
Citations per year

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-authors

The 22 scholars most cited alongside Xavier Ros‐Oton, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Xavier Ros‐Oton Line = papers co-authored together Xavier Ros‐Oton links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 45 papers — load more, or switch the sort, to bring in the rest.

#Work
1
The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
Hit paper breakdown →
2013437
2 2014169
3 2015125
4 201364
5 201355
6 201649
7 201237
8 202035
9 201434
10 201633
11 202233
12 201228
13 201027
14 202222
15 202021
16 201721
17 201421
18 201520
19 201214
20
New boundary Harnack inequalities with right hand side
202113

About Xavier Ros‐Oton

Xavier Ros‐Oton is a scholar working on Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Control and Systems Engineering and Geometry and Topology, having authored 45 papers that have together received 1.4k indexed citations. Recurring topics across this work include Nonlinear Partial Differential Equations (34 papers), Advanced Mathematical Modeling in Engineering (34 papers), Nonlinear Differential Equations Analysis (10 papers), Numerical methods in inverse problems (10 papers), Differential Equations and Boundary Problems (9 papers), Advanced Harmonic Analysis Research (5 papers), Point processes and geometric inequalities (3 papers) and Stability and Controllability of Differential Equations (3 papers). The work is most often cited by research in Applied Mathematics (1.2k citations), Mathematical Physics (531 citations), Computational Theory and Mathematics (902 citations), Numerical Analysis (135 citations) and Modeling and Simulation (113 citations). Xavier Ros‐Oton has collaborated with scholars based in Spain, United States and Switzerland. Frequent 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. Their work appears in journals such as Communications in Partial Differential Equations, Comptes Rendus Mathématique, Publicacions Matemàtiques, Discrete and Continuous Dynamical Systems and Mathematische Annalen.

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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