David Arcoya

1.8k total citations
66 papers, 1.2k citations indexed

About

David Arcoya is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, David Arcoya has authored 66 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Applied Mathematics, 47 papers in Computational Theory and Mathematics and 22 papers in Mathematical Physics. Recurrent topics in David Arcoya's work include Nonlinear Partial Differential Equations (50 papers), Advanced Mathematical Modeling in Engineering (46 papers) and Nonlinear Differential Equations Analysis (18 papers). David Arcoya is often cited by papers focused on Nonlinear Partial Differential Equations (50 papers), Advanced Mathematical Modeling in Engineering (46 papers) and Nonlinear Differential Equations Analysis (18 papers). David Arcoya collaborates with scholars based in Spain, Italy and Brazil. David Arcoya's co-authors include Lucio Boccardo, Antonio Ambrosetti, José Carmona, Pedro J. Martínez−Aparicio, Luigi Orsina, David Ruiz, Tommaso Leonori, José A. Gámez, Jesús Ildefonso Díaz Díaz and B. Buffoni and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

David Arcoya

62 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
David Arcoya Spain 22 1.1k 950 402 141 123 66 1.2k
Guowei Dai China 19 1.1k 1.0× 782 0.8× 321 0.8× 121 0.9× 150 1.2× 78 1.2k
J. Chabrowski Australia 19 1.2k 1.1× 947 1.0× 558 1.4× 115 0.8× 108 0.9× 112 1.3k
G. Cerami Italy 7 1.2k 1.0× 949 1.0× 435 1.1× 102 0.7× 77 0.6× 7 1.2k
Giovanna Cerami Italy 16 1.6k 1.4× 1.2k 1.3× 787 2.0× 143 1.0× 111 0.9× 30 1.7k
Jianfu Yang China 20 1.2k 1.0× 909 1.0× 495 1.2× 94 0.7× 59 0.5× 114 1.2k
Alexander Quaas Chile 19 1.4k 1.3× 1.1k 1.1× 622 1.5× 110 0.8× 84 0.7× 78 1.6k
Tsung‐fang Wu Taiwan 22 1.7k 1.5× 1.3k 1.4× 628 1.6× 96 0.7× 216 1.8× 103 1.8k
Pietro d’Avenia Italy 17 1.0k 0.9× 710 0.7× 636 1.6× 81 0.6× 90 0.7× 33 1.1k
Matteo Bonforte Spain 16 658 0.6× 517 0.5× 286 0.7× 92 0.7× 96 0.8× 32 751
Yuxia Guo China 17 686 0.6× 519 0.5× 391 1.0× 70 0.5× 117 1.0× 104 795

Countries citing papers authored by David Arcoya

Since Specialization
Citations

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

Fields of papers citing papers by David Arcoya

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David Arcoya

This figure shows the co-authorship network connecting the top 25 collaborators of David Arcoya. A scholar is included among the top collaborators of David Arcoya 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 David Arcoya. David Arcoya 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.
Arcoya, David, et al.. (2025). Nonlocal operators in divergence form and existence theory for integrable data. Journal of Functional Analysis. 290(7). 111317–111317.
2.
Arcoya, David, et al.. (2023). Relativistic equations with singular potentials. Zeitschrift für angewandte Mathematik und Physik. 74(3). 1 indexed citations
3.
Arcoya, David, et al.. (2022). Hardy potential versus lower order terms in Dirichlet problems: regularizing effects. Mathematics in Engineering. 5(1). 1–14.
4.
Arcoya, David, João R. Santos Júnior, & António Suárez. (2021). Positive solutions for a degenerate Kirchhoff problem. Proceedings of the Edinburgh Mathematical Society. 64(3). 675–688. 2 indexed citations
5.
Arcoya, David, et al.. (2018). Existence and Regularizing Effect of Degenerate Lower Order Terms in Elliptic Equations Beyond the Hardy Constant. Advanced Nonlinear Studies. 18(4). 775–783. 3 indexed citations
6.
Ambrosetti, Antonio & David Arcoya. (2016). Positive Solutions of Elliptic Kirchhoff Equations. Advanced Nonlinear Studies. 17(1). 3–15. 41 indexed citations
7.
Arcoya, David, Colette De Coster, Louis Jeanjean, & Kazunaga Tanaka. (2014). Remarks on the uniqueness for quasilinear elliptic equations with quadratic growth conditions. Journal of Mathematical Analysis and Applications. 420(1). 772–780. 19 indexed citations
8.
Arcoya, David & Lucio Boccardo. (2014). Regularizing effect of the interplay between coefficients in some elliptic equations. Journal of Functional Analysis. 268(5). 1153–1166. 29 indexed citations
9.
Arcoya, David, Lucio Boccardo, & Tommaso Leonori. (2013). $${W^{1,1}_0}$$ -solutions for elliptic problems having gradient quadratic lower order terms. Nonlinear Differential Equations and Applications NoDEA. 20(6). 1741–1757. 2 indexed citations
10.
Arcoya, David, Lucio Boccardo, Tommaso Leonori, & Alessio Porretta. (2010). Some elliptic problems with singular natural growth lower order terms. Journal of Differential Equations. 249(11). 2771–2795. 47 indexed citations
11.
Arcoya, David, et al.. (2008). Singular quasilinear equations with quadratic growth in the gradient without sign condition. Journal of Mathematical Analysis and Applications. 350(1). 401–408. 32 indexed citations
12.
Arcoya, David & José Carmona. (2006). A nondifferentiable extension of a theorem of Pucci and Serrin and applications. Journal of Differential Equations. 235(2). 683–700. 24 indexed citations
13.
Arcoya, David, et al.. (2003). Semilinear elliptic problems with nonlinearities depending on the derivative. Commentationes Mathematicae Universitatis Carolinae. 44(3). 413–426. 1 indexed citations
14.
Arcoya, David, José Carmona, & Benedetta Pellacci. (2001). Bifurcation for some quasilinear operators. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 131(4). 733–765. 21 indexed citations
15.
Arcoya, David & José A. Gámez. (2001). BIFURCATION THEORY AND RELATED PROBLEMS: ANTI-MAXIMUM PRINCIPLE AND RESONANCE *. Communications in Partial Differential Equations. 26(9-10). 1879–1911. 43 indexed citations
16.
Ambrosetti, Antonio, et al.. (1998). Asymmetric bound states of differential equations in nonlinear optics. Rendiconti del Seminario Matematico della Università di Padova. 100. 231–247. 15 indexed citations
17.
Arcoya, David, Jesús Ildefonso Díaz Díaz, & J. Ignacio Tello. (1998). S-Shaped Bifurcation Branch in a Quasilinear Multivalued Model Arising in Climatology. Journal of Differential Equations. 150(1). 215–225. 53 indexed citations
18.
Arcoya, David & Lucio Boccardo. (1995). A min-max theorem for multiple integrals of the Calculus of Variations and applications. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 6(1). 29–35. 2 indexed citations
19.
Arcoya, David, et al.. (1994). Some Discontinuous Problems with a Quasilinear Operator. Journal of Mathematical Analysis and Applications. 187(3). 1059–1072. 33 indexed citations
20.
Arcoya, David, et al.. (1990). Multivalued nonpositone problems. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 1(2). 117–123. 4 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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