Carlo Sbordone

2.9k total citations
74 papers, 1.8k citations indexed

About

Carlo Sbordone is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Carlo Sbordone has authored 74 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 50 papers in Applied Mathematics, 25 papers in Geometry and Topology and 22 papers in Mathematical Physics. Recurrent topics in Carlo Sbordone's work include Nonlinear Partial Differential Equations (33 papers), Advanced Harmonic Analysis Research (24 papers) and Analytic and geometric function theory (17 papers). Carlo Sbordone is often cited by papers focused on Nonlinear Partial Differential Equations (33 papers), Advanced Harmonic Analysis Research (24 papers) and Analytic and geometric function theory (17 papers). Carlo Sbordone collaborates with scholars based in Italy, United States and France. Carlo Sbordone's co-authors include Tadeusz Iwaniec, Nicola Fusco, Luigi Greco, Paolo Marcellini, Luciano Carbone, Alberto Fıorenza, Ludovico Sbordone, Franco Guidetti, Paolo Toti and Gioconda Moscariello and has published in prestigious journals such as SHILAP Revista de lepidopterología, Communications on Pure and Applied Mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Carlo Sbordone

67 papers receiving 1.6k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Carlo Sbordone Italy 21 1.5k 706 640 345 131 74 1.8k
Luigi Orsina Italy 20 1.7k 1.1× 963 1.4× 1.5k 2.4× 49 0.1× 85 2.1k
Radu Precup Romania 14 674 0.5× 64 0.1× 282 0.4× 295 0.9× 119 902
Piotr Gwiazda Poland 18 674 0.5× 326 0.5× 492 0.8× 16 0.0× 74 1.1k
Giovanni Porru Italy 15 392 0.3× 148 0.2× 365 0.6× 54 0.2× 77 685
Chungen Lıu China 16 486 0.3× 238 0.3× 215 0.3× 210 0.6× 82 689
Thomas Lachand-Robert France 12 228 0.2× 64 0.1× 172 0.3× 65 0.2× 21 388
Gengsheng Wang China 19 310 0.2× 450 0.6× 769 1.2× 8 0.0× 80 1.1k
Heiko von der Mosel Germany 15 313 0.2× 68 0.1× 129 0.2× 230 0.7× 47 585
Kirk E. Lancaster United States 10 186 0.1× 60 0.1× 123 0.2× 47 0.1× 2 0.0× 41 345

Countries citing papers authored by Carlo Sbordone

Since Specialization
Citations

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

Fields of papers citing papers by Carlo Sbordone

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Carlo Sbordone

This figure shows the co-authorship network connecting the top 25 collaborators of Carlo Sbordone. A scholar is included among the top collaborators of Carlo Sbordone 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 Carlo Sbordone. Carlo Sbordone 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.
Sbordone, Carlo, et al.. (2023). The Reflection Method for the Numerical Solution of Linear Systems. SIAM Review. 65(4). 1137–1151. 1 indexed citations
2.
Sbordone, Carlo, et al.. (2018). Duality and distance formulas in Banach function spaces. Journal of Elliptic and Parabolic Equations. 5(1). 1–23. 8 indexed citations
3.
Alberico, Angela, Andrea Cianchi, & Carlo Sbordone. (2016). Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Nonlinear Analysis. 145. 143–161. 3 indexed citations
4.
Sbordone, Carlo, et al.. (2015). Sharp interactions among $$A_\infty $$ A ∞ -weights on the real line. Ricerche di Matematica. 64(2). 289–301. 3 indexed citations
5.
Martuscelli, R, Paolo Toti, Ludovico Sbordone, et al.. (2014). Five-year outcome of bone remodelling around implants in the maxillary sinus: assessment of differences between implants placed in autogenous inlay bone blocks and in ungrafted maxilla. International Journal of Oral and Maxillofacial Surgery. 43(9). 1117–1126. 18 indexed citations
6.
Sbordone, Carlo, et al.. (2012). The Grand Sobolev Homeomorphisms and Their Measurability Properties. Advanced Nonlinear Studies. 12(4). 767–782. 4 indexed citations
7.
Cruz-Uribe, David, et al.. (2011). On the continuity of solutions to degenerate elliptic equations. Journal of Differential Equations. 250(6). 2671–2686. 12 indexed citations
8.
Sbordone, Ludovico, Paolo Toti, Giovanni Battista Menchini-Fabris, et al.. (2009). Volume changes of autogenous bone grafts after alveolar ridge augmentation of atrophic maxillae and mandibles. International Journal of Oral and Maxillofacial Surgery. 38(10). 1059–1065. 110 indexed citations
9.
Moscariello, Gioconda, Carlo Sbordone, & François Murat. (2006). Approximating the inverse matrix of the G-limit through changes of variables in the plane. Rendiconti Lincei Matematica e Applicazioni. 17(2). 167–174.
10.
Sbordone, Carlo. (2004). Renato Caccioppoli, nel centenario della nascita. Bollettino Della Unione Matematica Italiana. 7(2). 193–214. 1 indexed citations
11.
Iwaniec, Tadeusz & Carlo Sbordone. (2004). New and old function spaces in the theory of PDEs and nonlinear analysis. Banach Center Publications. 85–104. 2 indexed citations
12.
Sbordone, Carlo. (2003). On the Γ-convergence of matrix fields related to the adjugate Jacobian. Comptes Rendus Mathématique. 337(3). 165–170. 2 indexed citations
13.
Iwaniec, Tadeusz & Carlo Sbordone. (2003). Caccioppoli estimates and very weak solutions of elliptic equations. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 14(3). 189–205. 9 indexed citations
14.
Iwaniec, Tadeusz & Carlo Sbordone. (2001). Quasiharmonic fields. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 18(5). 519–572. 48 indexed citations
15.
Sbordone, Carlo. (1997). New estimates for div-curl products and very weak solutions of PDEs. French digital mathematics library (Numdam). 25. 739–756. 9 indexed citations
16.
Sbordone, Carlo. (1996). Grand Sobolev spaces and their application to variational problems. SHILAP Revista de lepidopterología. 22 indexed citations
17.
Maso, Gianni Dal & Carlo Sbordone. (1995). Weak lower semicontinuity of polyconvex integrals: a borderline case. Mathematische Zeitschrift. 218(1). 603–609. 31 indexed citations
18.
Brezis, Haı̈m, Nicola Fusco, & Carlo Sbordone. (1993). Integrability for the Jacobian of Orientation Preserving Mappings. Journal of Functional Analysis. 115(2). 425–431. 30 indexed citations
19.
Iwaniec, Tadeusz & Carlo Sbordone. (1992). On the integrability of the Jacobian under minimal hypotheses. Archive for Rational Mechanics and Analysis. 119(2). 129–143. 298 indexed citations
20.
Fusco, Nicola & Carlo Sbordone. (1990). Local boundedness of minimizers in a limit case. manuscripta mathematica. 69(1). 19–25. 47 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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