Xavier Cabré

7.3k total citations · 3 hit papers
72 papers, 4.1k citations indexed

About

Xavier Cabré is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Xavier Cabré has authored 72 papers receiving a total of 4.1k indexed citations (citations by other indexed papers that have themselves been cited), including 62 papers in Applied Mathematics, 46 papers in Computational Theory and Mathematics and 21 papers in Mathematical Physics. Recurrent topics in Xavier Cabré's work include Nonlinear Partial Differential Equations (57 papers), Advanced Mathematical Modeling in Engineering (45 papers) and Nonlinear Differential Equations Analysis (16 papers). Xavier Cabré is often cited by papers focused on Nonlinear Partial Differential Equations (57 papers), Advanced Mathematical Modeling in Engineering (45 papers) and Nonlinear Differential Equations Analysis (16 papers). Xavier Cabré collaborates with scholars based in Spain, France and United States. Xavier Cabré's co-authors include Luis Caffarelli, Yannick Sire, Jinggang Tan, Rafael de la Llave, Ernest Fontich, Luigi Ambrosio, Yvan Martel, J. Solà‐Morales, Xavier Ros‐Oton and Haı̈m Brezis and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications in Mathematical Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Xavier Cabré

67 papers receiving 3.8k citations

Hit Papers

align trajectories

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.

Fully Nonlinear Elliptic Equations

1995 856 citations Luis Caffarelli, Xavier Cabré profile →
Positive solutions of nonlinear problems involving the square root of the Laplacian

2010 365 citations Xavier Cabré et al. profile →
Nonlinear equations for fractional Laplacians I: Regularity, maximum\n principles, and Hamiltonian estimates

2010 321 citations Xavier Cabré, Yannick Sire QRU Quaderns de Recerca en Urbanisme profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Xavier Cabré Spain	30	3.2k	2.4k	1.3k	410	378	72	4.1k
Manuel del Pino Chile	39	5.2k 1.6×	3.6k 1.5×	2.7k 2.0×	998 2.4×	371 1.0×	177	6.1k
Chun‐Lei Tang China	31	3.0k 0.9×	1.7k 0.7×	1.0k 0.8×	740 1.8×	259 0.7×	278	3.5k
Susanna Terracini Italy	27	1.6k 0.5×	1.1k 0.5×	1.2k 0.9×	259 0.6×	177 0.5×	116	2.5k
Congming Li United States	34	4.3k 1.3×	2.2k 0.9×	2.0k 1.5×	240 0.6×	264 0.7×	79	4.6k
Catherine Bandle Switzerland	26	2.4k 0.7×	1.8k 0.8×	967 0.7×	503 1.2×	235 0.6×	115	2.9k
Michel Willem Belgium	31	6.8k 2.1×	4.4k 1.9×	3.1k 2.3×	1.1k 2.8×	464 1.2×	69	7.6k
Enrico Valdinoci Italy	35	7.2k 2.2×	5.4k 2.3×	3.0k 2.3×	538 1.3×	242 0.6×	219	8.2k
Klaus Schmitt United States	29	2.1k 0.6×	1.4k 0.6×	679 0.5×	828 2.0×	200 0.5×	121	2.9k
Michaël Struwe Switzerland	38	5.3k 1.6×	3.2k 1.3×	2.8k 2.1×	356 0.9×	771 2.0×	103	6.2k
Fabio Zanolin Italy	28	1.9k 0.6×	759 0.3×	607 0.5×	887 2.2×	785 2.1×	179	2.7k

Countries citing papers authored by Xavier Cabré

Since Specialization

Citations

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

Fields of papers citing papers by Xavier Cabré

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Xavier Cabré

This figure shows the co-authorship network connecting the top 25 collaborators of Xavier Cabré. A scholar is included among the top collaborators of Xavier Cabré 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 Cabré. Xavier Cabré is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Cabré, Xavier, et al.. (2021). Assessment of incidence and trends in cerebrovascular disease in the healthcare district of Lleida (Spain) in the period 2010–2014. SHILAP Revista de lepidopterología. 37(8). 631–638. 1 indexed citations

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

Cabré, Xavier, et al.. (2020). Evaluación de la incidencia y tendencia de la enfermedad cerebrovascular en la región sanitaria de Lleida (España) en el periodo 2010-2014. Neurología. 37(8). 631–638. 1 indexed citations

Cabré, Xavier. (2019). A new proof of the boundedness results for stable solutions to semilinear elliptic equations. QRU Quaderns de Recerca en Urbanisme. 9 indexed citations

Cabré, Xavier, Marcello Lucia, Manel Sanchón, & Salvador Villegas. (2018). Antisymmetry of solutions for some weighted elliptic problems. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 1 indexed citations

Cabré, Xavier. (2017). Boundedness of Stable Solutions to Semilinear Elliptic Equations: A Survey. SHILAP Revista de lepidopterología. 16 indexed citations

Cabré, Xavier, Xavier Ros‐Oton, & Joaquim Serra. (2016). Sharp isoperimetric inequalities via the ABP. QRU Quaderns de Recerca en Urbanisme. 49 indexed citations

Cabré, Xavier & Yannick Sire. (2014). Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions. Transactions of the American Mathematical Society. 367(2). 911–941. 119 indexed citations

Cabré, Xavier & Xavier Ros‐Oton. (2013). Sobolev and isoperimetric inequalities with monomial weights. QRU Quaderns de Recerca en Urbanisme. 55 indexed citations

10.

Cabré, Xavier. (2012). Uniqueness and stability of saddle-shaped solutions to the Allen–Cahn equation. Journal de Mathématiques Pures et Appliquées. 98(3). 239–256. 19 indexed citations

11.

Cabré, Xavier, et al.. (2012). Propagation in Fisher–KPP type equations with fractional diffusion in periodic media. Comptes Rendus Mathématique. 350(19-20). 885–890. 14 indexed citations

12.

Serviá, Luis, et al.. (2011). Time spent in the emergency department and mortality rates in severely injured patients admitted to the intensive care unit: An observational study. Journal of Critical Care. 27(1). 58–65. 18 indexed citations

13.

Cabré, Xavier & Yannick Sire. (2010). Nonlinear equations for fractional Laplacians I: Regularity, maximum\n principles, and Hamiltonian estimates. QRU Quaderns de Recerca en Urbanisme. 321 indexed citations breakdown →

14.

Cabré, Xavier, Ernest Fontich, & Rafael de la Llave. (2005). The parameterization method for invariant manifolds III: overview and applications. Journal of Differential Equations. 218(2). 444–515. 165 indexed citations

15.

Cabré, Xavier & Antonio Capella. (2004). On the stability of radial solutions of semilinear elliptic equations in all of ℝ n . Comptes Rendus Mathématique. 338(10). 769–774. 33 indexed citations

16.

Cabré, Xavier & Luis Caffarelli. (2003). Interior C2,α regularity theory for a class of nonconvex fully nonlinear elliptic equations. Journal de Mathématiques Pures et Appliquées. 82(5). 573–612. 38 indexed citations

17.

Cabré, Xavier. (2000). Equacions en derivades parcials, geometria i control estocastic. RACO (Revistes Catalanes amb Accés Obert) (Consorci de Serveis Universitaris de Catalunya). 15(1). 7–27. 3 indexed citations

18.

Brezis, Haı̈m & Xavier Cabré. (1998). Some simple nonlinear PDE's without solutions. Bollettino Della Unione Matematica Italiana. 223–262. 147 indexed citations

19.

Cabré, Xavier & Yvan Martel. (1998). Weak Eigenfunctions for the Linearization of Extremal Elliptic Problems. Journal of Functional Analysis. 156(1). 30–56. 55 indexed citations

20.

Caffarelli, Luis & Xavier Cabré. (1995). Fully Nonlinear Elliptic Equations. 856 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.

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