Antonio Leaci

753 total citations
31 papers, 457 citations indexed

About

Antonio Leaci is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Antonio Leaci has authored 31 papers receiving a total of 457 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Computational Theory and Mathematics, 17 papers in Mathematical Physics and 17 papers in Applied Mathematics. Recurrent topics in Antonio Leaci's work include Advanced Mathematical Modeling in Engineering (17 papers), Numerical methods in inverse problems (14 papers) and Nonlinear Partial Differential Equations (11 papers). Antonio Leaci is often cited by papers focused on Advanced Mathematical Modeling in Engineering (17 papers), Numerical methods in inverse problems (14 papers) and Nonlinear Partial Differential Equations (11 papers). Antonio Leaci collaborates with scholars based in Italy, France and United States. Antonio Leaci's co-authors include M. Carriero, Ennio De Giorgi, Franco Tomarelli, Giuseppe Buttazzo, Maı̈tine Bergounioux, Giorgio Vergara Caffarelli, Serena Morigi and Alessandro Lanza and has published in prestigious journals such as Archive for Rational Mechanics and Analysis, Applied Mathematics and Computation and Journal of Functional Analysis.

In The Last Decade

Antonio Leaci

28 papers receiving 381 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Antonio Leaci Italy 11 221 192 160 128 106 31 457
M. Carriero Italy 7 174 0.8× 148 0.8× 99 0.6× 75 0.6× 73 0.7× 8 339
Gérard Michaille France 8 324 1.5× 149 0.8× 102 0.6× 50 0.4× 107 1.0× 29 493
Françoise Demengel France 12 433 2.0× 457 2.4× 224 1.4× 39 0.3× 70 0.7× 37 643
Eberhard Schock Germany 11 103 0.5× 194 1.0× 380 2.4× 50 0.4× 64 0.6× 37 474
Robert Plato Germany 10 102 0.5× 96 0.5× 281 1.8× 47 0.4× 81 0.8× 28 385
H.-J. Reinhardt Germany 12 75 0.3× 52 0.3× 198 1.2× 51 0.4× 74 0.7× 20 304
Patrick Guidotti United States 10 105 0.5× 92 0.5× 88 0.6× 145 1.1× 58 0.5× 35 348
Vitalii P. Tanana 3 82 0.4× 124 0.6× 211 1.3× 24 0.2× 38 0.4× 5 307
F. Demengel France 9 141 0.6× 171 0.9× 85 0.5× 27 0.2× 32 0.3× 15 267
Abdallah El Hamidi France 12 319 1.4× 351 1.8× 127 0.8× 32 0.3× 37 0.3× 33 483

Countries citing papers authored by Antonio Leaci

Since Specialization
Citations

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

Fields of papers citing papers by Antonio Leaci

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Antonio Leaci

This figure shows the co-authorship network connecting the top 25 collaborators of Antonio Leaci. A scholar is included among the top collaborators of Antonio Leaci 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 Antonio Leaci. Antonio Leaci 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.
Lanza, Alessandro, Antonio Leaci, Serena Morigi, & Franco Tomarelli. (2025). Symmetrised fractional variation with L1 fidelity for signal denoising via Grünwald-Letnikov scheme. Applied Mathematics and Computation. 500. 129429–129429.
2.
Leaci, Antonio & Franco Tomarelli. (2023). Symmetrized fractional total variation for signal and image analysis. Advances in Continuous and Discrete Models. 2023(1). 3 indexed citations
3.
Leaci, Antonio & Franco Tomarelli. (2022). Riemann–Liouville Fractional Sobolev and Bounded Variation Spaces. Axioms. 11(1). 30–30. 3 indexed citations
4.
Leaci, Antonio, et al.. (2018). Segmentation and inpainting of color images. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 25(2). 435–458. 2 indexed citations
5.
Bergounioux, Maı̈tine, et al.. (2017). Fractional Sobolev Spaces and Functions of Bounded Variation of One Variable. Fractional Calculus and Applied Analysis. 20(4). 936–962. 15 indexed citations
6.
Leaci, Antonio, et al.. (2015). A Survey on the Blake–Zisserman Functional. Milan Journal of Mathematics. 83(2). 397–420. 11 indexed citations
7.
Leaci, Antonio, et al.. (2013). Image inpainting via variational approximation ofa Dirichlet problem with free discontinuity. Advances in Calculus of Variations. 7(3). 267–295. 3 indexed citations
8.
Carriero, M., Antonio Leaci, & Franco Tomarelli. (2012). Free gradient discontinuity and image inpainting. Journal of Mathematical Sciences. 181(6). 805–819. 9 indexed citations
9.
Leaci, Antonio, et al.. (2009). VARIATIONAL APPROACH TO IMAGE SEGMENTATION. Virtual Community of Pathological Anatomy (University of Castilla La Mancha).
10.
Carriero, M., Antonio Leaci, & Franco Tomarelli. (2004). Second Order Variational Problems with Free Discontinuity and Free Gradient Discontinuity. 14. 135–186. 12 indexed citations
11.
Leaci, Antonio, et al.. (2003). Calculus of variations and image segmentation. Journal of Physiology-Paris. 97(2-3). 343–353. 13 indexed citations
12.
Leaci, Antonio, et al.. (2002). Necessary conditions for extremals of Blake & Zisserman functional. Comptes Rendus Mathématique. 334(4). 343–348. 14 indexed citations
13.
Leaci, Antonio, et al.. (2000). Second order functionals for image segmentation. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 169–179. 3 indexed citations
14.
Leaci, Antonio, et al.. (1997). Strong minimizers of Blake & Zisserman functional. French digital mathematics library (Numdam). 25. 257–285. 23 indexed citations
15.
Leaci, Antonio. (1992). Free discontinuity problems with unbounded data: The two dimensional case. manuscripta mathematica. 75(1). 429–441. 2 indexed citations
16.
Carriero, M., Antonio Leaci, & Franco Tomarelli. (1992). Special Bounded Hessian and elastic-plastic plate. 223–258. 14 indexed citations
17.
Carriero, M. & Antonio Leaci. (1991). $S^k$-valued maps minimizing the $L^p$ norm of the gradient with free discontinuities. French digital mathematics library (Numdam). 18(3). 321–352. 19 indexed citations
18.
Giorgi, Ennio De, M. Carriero, & Antonio Leaci. (1989). Existence theorem for a minimum problem with free discontinuity set. Archive for Rational Mechanics and Analysis. 108(4). 195–218. 225 indexed citations
19.
Buttazzo, Giuseppe & Antonio Leaci. (1985). Relaxation results for a class of variational integrals. Journal of Functional Analysis. 61(3). 360–377. 5 indexed citations
20.
Buttazzo, Giuseppe & Antonio Leaci. (1984). A continuity theorem for operators from W1,q(Ω) into Lr(Ω). Journal of Functional Analysis. 58(2). 216–224. 3 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.

Explore authors with similar magnitude of impact

Rankless by CCL
2026