Paolo Salani

1.4k total citations
47 papers, 810 citations indexed

About

Paolo Salani is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Paolo Salani has authored 47 papers receiving a total of 810 indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Applied Mathematics, 19 papers in Computational Theory and Mathematics and 11 papers in Mathematical Physics. Recurrent topics in Paolo Salani's work include Nonlinear Partial Differential Equations (33 papers), Geometric Analysis and Curvature Flows (27 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Paolo Salani is often cited by papers focused on Nonlinear Partial Differential Equations (33 papers), Geometric Analysis and Curvature Flows (27 papers) and Advanced Mathematical Modeling in Engineering (18 papers). Paolo Salani collaborates with scholars based in Italy, Japan and Germany. Paolo Salani's co-authors include Andrea Colesanti, Kazuhiro Ishige, Andrea Cianchi, Carlo Nitsch, Cristina Trombetti, Barbara Brandolini, Kaj Nyström, Jie Xiao, Da Yang and G. Zhang and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Archive for Rational Mechanics and Analysis.

In The Last Decade

Paolo Salani

45 papers receiving 740 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Paolo Salani Italy 17 773 381 219 160 43 47 810
Ki-Ahm Lee South Korea 12 329 0.4× 240 0.6× 127 0.6× 58 0.4× 13 0.3× 55 375
Xingwang Xu Singapore 15 781 1.0× 377 1.0× 228 1.0× 149 0.9× 53 1.2× 44 798
Daniel A. Klain United States 10 337 0.4× 49 0.1× 67 0.3× 163 1.0× 29 0.7× 22 401
Francesca Vetro Italy 18 396 0.5× 367 1.0× 127 0.6× 621 3.9× 90 2.1× 107 989
Zindine Djadli France 10 553 0.7× 295 0.8× 135 0.6× 170 1.1× 70 1.6× 16 569
Bruno Nazaret France 10 318 0.4× 126 0.3× 137 0.6× 45 0.3× 7 0.2× 18 355
L. Saloff‐Coste United States 12 348 0.5× 128 0.3× 285 1.3× 199 1.2× 12 0.3× 17 517
Marino Belloni Italy 8 269 0.3× 209 0.5× 108 0.5× 27 0.2× 34 0.8× 12 298
Nguyen Lam United States 18 1.1k 1.4× 670 1.8× 578 2.6× 61 0.4× 29 0.7× 59 1.1k
Zheng-Chao Han United States 8 503 0.7× 380 1.0× 172 0.8× 79 0.5× 20 0.5× 14 529

Countries citing papers authored by Paolo Salani

Since Specialization
Citations

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

Fields of papers citing papers by Paolo Salani

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paolo Salani

This figure shows the co-authorship network connecting the top 25 collaborators of Paolo Salani. A scholar is included among the top collaborators of Paolo Salani 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 Paolo Salani. Paolo Salani 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.
Cianchi, Andrea & Paolo Salani. (2023). Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equations. Journal of Functional Analysis. 285(9). 110091–110091. 2 indexed citations
2.
Jarohs, Sven, Tadeusz Kulczycki, & Paolo Salani. (2022). On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian. Florence Research (University of Florence). 2 indexed citations
3.
Ferone, Vincenzo, et al.. (2021). Geometric Properties for Parabolic and Elliptic PDE's. 6 indexed citations
4.
Jarohs, Sven, Tadeusz Kulczycki, & Paolo Salani. (2019). Starshapedness of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings. Mathematische Nachrichten. 292(5). 1008–1021. 1 indexed citations
5.
Garofalo, Nicola, et al.. (2019). Starshapedeness for fully non-linear equations in Carnot groups. Padua Research Archive (University of Padova). 3 indexed citations
6.
Ishige, Kazuhiro, et al.. (2019). Parabolic Minkowski convolutions and concavity properties of viscosity solutions to fully nonlinear equations. Journal de Mathématiques Pures et Appliquées. 141. 342–370. 2 indexed citations
7.
Campi, Stefano, Paolo Gronchi, & Paolo Salani. (2018). A proof of a Loomis–Whitney type inequality via optimal transport. Journal of Mathematical Analysis and Applications. 471(1-2). 489–495. 2 indexed citations
8.
Ishige, Kazuhiro, et al.. (2018). Spatial concavity of solutions to parabolic systems. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 291–313. 3 indexed citations
9.
Ciraolo, Giulio, et al.. (2016). An overdetermined problem for the anisotropic capacity. Calculus of Variations and Partial Differential Equations. 55(4). 24 indexed citations
10.
Colesanti, Andrea, Kaj Nyström, Paolo Salani, et al.. (2015). The Hadamard variational formula and the Minkowski problem for p-capacity. Advances in Mathematics. 285. 1511–1588. 58 indexed citations
11.
Ishige, Kazuhiro & Paolo Salani. (2015). Parabolic Minkowski convolutions of solutions to parabolic boundary value problems. Advances in Mathematics. 287. 640–673. 4 indexed citations
12.
Salani, Paolo. (2014). Combination and mean width rearrangements of solutions to elliptic equations in convex sets. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 32(4). 763–783. 8 indexed citations
13.
Salani, Paolo. (2011). Convexity of solutions and Brunn–Minkowski inequalities for Hessian equations in R3. Advances in Mathematics. 229(3). 1924–1948. 18 indexed citations
14.
Cianchi, Andrea & Paolo Salani. (2009). Overdetermined anisotropic elliptic problems. Mathematische Annalen. 345(4). 859–881. 89 indexed citations
15.
Brandolini, Barbara, Carlo Nitsch, Paolo Salani, & Cristina Trombetti. (2008). On the stability of the Serrin problem. Journal of Differential Equations. 245(6). 1566–1583. 31 indexed citations
16.
Brandolini, Barbara, Carlo Nitsch, Paolo Salani, & Cristina Trombetti. (2008). Stability of radial symmetry for a Monge-Ampère overdetermined problem. Annali di Matematica Pura ed Applicata (1923 -). 188(3). 10 indexed citations
17.
Salani, Paolo, et al.. (2007). On the Hessian matrix and Minkowski addition of quasiconvex functions. Journal de Mathématiques Pures et Appliquées. 88(3). 276–292. 20 indexed citations
18.
Salani, Paolo, et al.. (2006). Convexity of level sets for solutions to non-linear elliptic problems in convex rings. SHILAP Revista de lepidopterología. 18 indexed citations
19.
Salani, Paolo. (2004). A Brunn–Minkowski inequality for the Monge–Ampère eigenvalue. Advances in Mathematics. 194(1). 67–86. 20 indexed citations
20.
Colesanti, Andrea & Paolo Salani. (1999). Hessian equations in non-smooth domains. Nonlinear Analysis. 38(6). 803–812. 13 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

Breakdown of academic impact, for papers by Ki-Ahm Lee Breakdown of academic impact, for papers by Xingwang Xu Breakdown of academic impact, for papers by Daniel A. Klain Breakdown of academic impact, for papers by Francesca Vetro Breakdown of academic impact, for papers by Zindine Djadli Breakdown of academic impact, for papers by Bruno Nazaret Breakdown of academic impact, for papers by L. Saloff‐Coste Breakdown of academic impact, for papers by Marino Belloni Breakdown of academic impact, for papers by Nguyen Lam Breakdown of academic impact, for papers by Zheng-Chao Han
Rankless by CCL
2026