Giovanni Leoni

2.5k total citations · 1 hit paper
57 papers, 1.2k citations indexed

About

Giovanni Leoni is a scholar working on Computational Theory and Mathematics, Applied Mathematics and Mechanics of Materials. According to data from OpenAlex, Giovanni Leoni has authored 57 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Computational Theory and Mathematics, 25 papers in Applied Mathematics and 13 papers in Mechanics of Materials. Recurrent topics in Giovanni Leoni's work include Advanced Mathematical Modeling in Engineering (25 papers), Nonlinear Partial Differential Equations (19 papers) and Solidification and crystal growth phenomena (8 papers). Giovanni Leoni is often cited by papers focused on Advanced Mathematical Modeling in Engineering (25 papers), Nonlinear Partial Differential Equations (19 papers) and Solidification and crystal growth phenomena (8 papers). Giovanni Leoni collaborates with scholars based in United States, Italy and Germany. Giovanni Leoni's co-authors include Irene Fonseca, Massimiliano Morini, Adriana Garroni, Marcello Ponsiglione, Daniel Spector, Nicola Fusco, Andrea Braides, Gianni Dal Maso, M. L. Mascarenhas and Guy Bouchitté and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Archive for Rational Mechanics and Analysis.

In The Last Decade

Giovanni Leoni

55 papers receiving 1.1k citations

Hit Papers

A First Course in Sobolev Spaces 2017 2026 2020 2023 2017 50 100 150 200 250
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.

  1. A First Course in Sobolev Spaces
    2017 266 citations Giovanni Leoni Graduate studies in mathematics profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Giovanni Leoni United States 17 633 593 326 261 227 57 1.2k
Luciano Modica Italy 11 592 0.9× 806 1.4× 253 0.8× 208 0.8× 212 0.9× 19 1.2k
Régis Monneau France 21 842 1.3× 671 1.1× 287 0.9× 121 0.5× 141 0.6× 107 1.4k
Klaus Deckelnick Germany 24 446 0.7× 586 1.0× 256 0.8× 195 0.7× 904 4.0× 65 1.4k
Maurizio Paolini Italy 17 442 0.7× 472 0.8× 190 0.6× 113 0.4× 294 1.3× 78 986
Ronald Gariepy United States 16 1.1k 1.7× 812 1.4× 482 1.5× 158 0.6× 197 0.9× 28 1.7k
Francesco Maggi Italy 19 1.2k 1.8× 578 1.0× 439 1.3× 105 0.4× 91 0.4× 52 1.5k
Matteo Novaga Italy 20 907 1.4× 684 1.2× 398 1.2× 59 0.2× 278 1.2× 149 1.5k
Fang‐Hua Lin United States 15 1.5k 2.4× 752 1.3× 850 2.6× 205 0.8× 511 2.3× 18 2.0k
В А Кондратьев Russia 14 815 1.3× 1.1k 1.9× 568 1.7× 539 2.1× 408 1.8× 66 1.8k
Giulio Schimperna Italy 22 521 0.8× 932 1.6× 188 0.6× 119 0.5× 292 1.3× 81 1.5k

Countries citing papers authored by Giovanni Leoni

Since Specialization
Citations

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

Fields of papers citing papers by Giovanni Leoni

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Giovanni Leoni

This figure shows the co-authorship network connecting the top 25 collaborators of Giovanni Leoni. A scholar is included among the top collaborators of Giovanni Leoni 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 Giovanni Leoni. Giovanni Leoni 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.
Leoni, Giovanni. (2023). A First Course in Fractional Sobolev Spaces. Graduate studies in mathematics. 19 indexed citations
2.
Leoni, Giovanni, et al.. (2017). Local minimizers and slow motion for the mass preserving Allen–Cahn equation in higher dimensions. Proceedings of the American Mathematical Society. 147(12). 5167–5182. 1 indexed citations
3.
Leoni, Giovanni. (2017). A First Course in Sobolev Spaces. Graduate studies in mathematics. 266 indexed citations breakdown →
4.
Fonseca, Irene, Giovanni Leoni, & Massimiliano Morini. (2016). Equilibria and dislocations in epitaxial growth. Nonlinear Analysis. 154. 88–121. 2 indexed citations
5.
Leoni, Giovanni, et al.. (2015). Second-Order -limit for the Cahn-Hilliard Functional. arXiv (Cornell University). 1 indexed citations
6.
Leoni, Giovanni, et al.. (2015). Second-Order Γ-limit for the Cahn–Hilliard Functional. Archive for Rational Mechanics and Analysis. 219(3). 1383–1451. 12 indexed citations
7.
Fonseca, Irene, et al.. (2011). Material voids in elastic solids with anisotropic surface energies. Journal de Mathématiques Pures et Appliquées. 96(6). 591–639. 20 indexed citations
8.
Leoni, Giovanni & Daniel Spector. (2011). Characterization of Sobolev and BV spaces. Journal of Functional Analysis. 261(10). 2926–2958. 43 indexed citations
9.
Garroni, Adriana, Giovanni Leoni, & Marcello Ponsiglione. (2010). Gradient theory for plasticity via homogenization of discrete dislocations. Journal of the European Mathematical Society. 12(5). 1231–1266. 69 indexed citations
10.
Leoni, Giovanni. (2009). A First Course in Sobolev Spaces. Graduate studies in mathematics. 218 indexed citations
11.
Leoni, Giovanni & Massimiliano Morini. (2007). Necessary and sufficient conditions for the chain rule in $W_{\text{loc}}^{1,1}(\mathbb {R}^N;\mathbb {R}^d)$ and $BV_{\text{loc}}(\mathbb {R}^N;\mathbb {R}^d)$. Journal of the European Mathematical Society. 9(2). 219–252. 7 indexed citations
12.
Leoni, Giovanni & Massimiliano Morini. (2007). Necessary and sufficient conditions for the chain rule in $W_{\mathrm{loc}}^{1,1}(\mathbb{R}^N; \mathbb{R})$ and $BV_{\mathrm{loc}}(\mathbb{R}^N; \mathbb{R}^d)$. Journal of the European Mathematical Society. 9(2). 219–252. 16 indexed citations
13.
Fonseca, Irene, Giovanni Leoni, & Roberto Paroni. (2005). ON HESSIAN MATRICES IN THE SPACE BH. Communications in Contemporary Mathematics. 7(4). 401–420. 6 indexed citations
14.
Koch, Herbert, Giovanni Leoni, & Massimiliano Morini. (2004). On optimal regularity of free boundary problems and a conjecture of De Giorgi. Communications on Pure and Applied Mathematics. 58(8). 1051–1076. 20 indexed citations
15.
Leoni, Giovanni & Massimiliano Morini. (2003). Some remarks on the analyticity of minimizers of free discontinuity problems. Journal de Mathématiques Pures et Appliquées. 82(5). 533–551. 2 indexed citations
16.
Fonseca, Irene & Giovanni Leoni. (2001). On lower semicontinuity and relaxation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 131(3). 519–565. 6 indexed citations
17.
Leoni, Giovanni. (2001). On lower semicontinuity in the calculus of variations. Bollettino Della Unione Matematica Italiana. 345–364.
18.
Leoni, Giovanni. (1996). A Very Singular Solution for the Porous Media Equationut=Δ(um)−upWhen 0<m<1. Journal of Differential Equations. 132(2). 353–376. 23 indexed citations
19.
Leoni, Giovanni. (1994). A Note on a Theorem of Pucci and Serrin. Journal of Differential Equations. 113(2). 535–542. 6 indexed citations
20.
Leoni, Giovanni, Maria Manfredini, & Patrizia Pucci. (1992). Stability properties for solutions of general Euler-Lagrange systems. Differential and Integral Equations. 5(3). 5 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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