Luca Capogna

2.0k total citations
42 papers, 1.1k citations indexed

About

Luca Capogna is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Luca Capogna has authored 42 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 14 papers in Computational Theory and Mathematics and 13 papers in Mathematical Physics. Recurrent topics in Luca Capogna's work include Geometric Analysis and Curvature Flows (24 papers), Nonlinear Partial Differential Equations (21 papers) and Advanced Mathematical Modeling in Engineering (12 papers). Luca Capogna is often cited by papers focused on Geometric Analysis and Curvature Flows (24 papers), Nonlinear Partial Differential Equations (21 papers) and Advanced Mathematical Modeling in Engineering (12 papers). Luca Capogna collaborates with scholars based in United States, Italy and Canada. Luca Capogna's co-authors include Nicola Garofalo, Donatella Danielli, Jeremy T. Tyson, Scott D. Pauls, Giovanna Citti, Maria Manfredini, Michael Cowling, Duy-Minh Nhieu, Loredana Lanzani and Carlos E. Kenig and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Luca Capogna

39 papers receiving 987 citations

Peers

Luca Capogna
Donatella Danielli United States
Francesco Serra Cassano Italy
Duy-Minh Nhieu United States
Jeremy T. Tyson United States
Nageswari Shanmugalingam United States
Pierre Pansu France
Piotr Hajłasz United States
Alexander Nagel United States
Laurent Saloff‐Coste United States
Cristina Trombetti Italy
Donatella Danielli United States
Luca Capogna
Citations per year, relative to Luca Capogna Luca Capogna (= 1×) peers Donatella Danielli

Countries citing papers authored by Luca Capogna

Since Specialization
Citations

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

Fields of papers citing papers by Luca Capogna

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Luca Capogna

This figure shows the co-authorship network connecting the top 25 collaborators of Luca Capogna. A scholar is included among the top collaborators of Luca Capogna 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 Luca Capogna. Luca Capogna 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.
Capogna, Luca, et al.. (2025). Neumann problems for p -harmonic functions, and induced nonlocal operators in metric measure spaces. American Journal of Mathematics. 147(6). 1653–1711.
2.
Capogna, Luca, et al.. (2024). The asymptotic p-Poisson equation as $$p \rightarrow \infty $$ in Carnot-Carathéodory spaces. Mathematische Annalen. 390(2). 2113–2153. 2 indexed citations
3.
Capogna, Luca, Giovanna Citti, & Xiao Zhong. (2023). Lipschitz regularity for solutions of the parabolic p-Laplacian in the Heisenberg group. Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna). 48(2). 411–428. 3 indexed citations
4.
Capogna, Luca, Giovanna Citti, & Xiao Zhong. (2023). Regularity Theory of Quasilinear Elliptic and Parabolic Equations in the Heisenberg Group. Vietnam Journal of Mathematics. 52(4). 807–827. 1 indexed citations
5.
Capogna, Luca, Giovanna Citti, & Nicola Garofalo. (2021). Regularity for a class of quasilinear degenerate parabolic equations in the Heisenberg group. Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna). 5 indexed citations
6.
Capogna, Luca & Enrico Le Donne. (2020). Conformal equivalence of visual metrics in pseudoconvex domains. CINECA IRIS Institutial research information system (University of Pisa). 2 indexed citations
7.
Capogna, Luca, et al.. (2019). Conformality and <i>Q</i>-harmonicity in Sub-Riemannian Manifolds. Smith ScholarWorks (Smith College). 9 indexed citations
8.
Capogna, Luca, et al.. (2018). Strong comparison principle for 𝑝-harmonic functions in Carnot-Caratheodory spaces. Proceedings of the American Mathematical Society. 146(10). 4265–4274. 3 indexed citations
9.
Capogna, Luca, Giovanna Citti, & Maria Manfredini. (2015). Regularity of mean curvature flow of graphs on Lie groups free up to step 2. IRIS UNIMORE (University of Modena and Reggio Emilia). 5 indexed citations
10.
Capogna, Luca, Giovanna Citti, & Maria Manfredini. (2010). Smoothness of Lipschitz minimal intrinsic graphs in Heisenberg groups , n > 1. Journal für die reine und angewandte Mathematik (Crelles Journal). 2010(648). 12 indexed citations
11.
Capogna, Luca, Giovanna Citti, & Maria Manfredini. (2009). Regularity of non-characteristic minimal graphs in the Heisenberg group $\mathbb{H}^{1}$. Indiana University Mathematics Journal. 58(5). 2115–2160. 24 indexed citations
12.
Lanzani, Loredana, Luca Capogna, & R. M. Brown. (2008). The Mixed Problem in L <sup>p</sup> for Some Two-Dimensional Lipschitz Domains. Smith ScholarWorks (Smith College). 10 indexed citations
13.
Capogna, Luca & Jalal Shatah. (2008). A note on ill-posedness of the Cauchy problem for Heisenberg wave maps. Proceedings of the American Mathematical Society. 136(5). 1619–1629.
14.
Capogna, Luca & Diego Maldonado. (2006). A note on the engulfing property and the Γ^{1+𝛼}-regularity of convex functions in Carnot groups. Proceedings of the American Mathematical Society. 134(11). 3191–3199. 4 indexed citations
15.
Capogna, Luca, Carlos E. Kenig, & Loredana Lanzani. (2005). Harmonic Measure. 7 indexed citations
16.
Capogna, Luca, et al.. (2004). The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics. Transactions of the American Mathematical Society. 357(2). 795–823. 20 indexed citations
17.
Capogna, Luca & Nicola Garofalo. (2003). Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type. Journal of the European Mathematical Society. 5(1). 1–40. 45 indexed citations
18.
19.
Capogna, Luca, Donatella Danielli, & Nicola Garofalo. (1997). Subelliptic mollifiers and a basic pointwise estimate of Poincaré type. Mathematische Zeitschrift. 226(1). 147–154. 23 indexed citations
20.
Capogna, Luca, Donatella Danielli, & Nicola Garofalo. (1994). The geometric Sobolev embedding for vector fields and the isoperimetric inequality. Communications in Analysis and Geometry. 2(2). 203–215. 108 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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