Gabriele Grillo

1.3k total citations
60 papers, 733 citations indexed

About

Gabriele Grillo is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Gabriele Grillo has authored 60 papers receiving a total of 733 indexed citations (citations by other indexed papers that have themselves been cited), including 48 papers in Applied Mathematics, 37 papers in Computational Theory and Mathematics and 20 papers in Mathematical Physics. Recurrent topics in Gabriele Grillo's work include Nonlinear Partial Differential Equations (43 papers), Advanced Mathematical Modeling in Engineering (35 papers) and Geometric Analysis and Curvature Flows (21 papers). Gabriele Grillo is often cited by papers focused on Nonlinear Partial Differential Equations (43 papers), Advanced Mathematical Modeling in Engineering (35 papers) and Geometric Analysis and Curvature Flows (21 papers). Gabriele Grillo collaborates with scholars based in Italy, Spain and France. Gabriele Grillo's co-authors include Matteo Bonforte, Juan Luís Vázquez, Fabio Cipriani, Matteo Muratori, Jean Dolbeault, Fabio Punzo, Adrien Blanchet, Filippo Gazzola, Alberto Frigerio and Yehuda Pinchover and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Physics Letters A.

In The Last Decade

Gabriele Grillo

56 papers receiving 661 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Gabriele Grillo Italy 16 619 423 289 75 59 60 733
Przemysław Górka Poland 14 373 0.6× 219 0.5× 396 1.4× 185 2.5× 41 0.7× 64 643
Filomena Pacella Italy 20 1.1k 1.7× 908 2.1× 381 1.3× 61 0.8× 111 1.9× 80 1.2k
Angelo Alvino Italy 17 1.0k 1.6× 750 1.8× 516 1.8× 59 0.8× 70 1.2× 47 1.1k
Enrico Serra Italy 18 423 0.7× 317 0.7× 345 1.2× 79 1.1× 31 0.5× 29 686
Alberto Farina France 21 1.3k 2.0× 934 2.2× 551 1.9× 124 1.7× 70 1.2× 83 1.3k
O. G. Smolyanov Russia 14 302 0.5× 198 0.5× 704 2.4× 18 0.2× 24 0.4× 122 916
Hikosaburo Komatsu Japan 15 466 0.8× 192 0.5× 432 1.5× 71 0.9× 88 1.5× 30 754
Petri Juutinen Finland 16 800 1.3× 610 1.4× 257 0.9× 72 1.0× 41 0.7× 30 918
Mark Veraar Netherlands 16 603 1.0× 291 0.7× 409 1.4× 179 2.4× 55 0.9× 64 991
Antonio Siconolfi Italy 11 260 0.4× 131 0.3× 102 0.4× 56 0.7× 28 0.5× 30 476

Countries citing papers authored by Gabriele Grillo

Since Specialization
Citations

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

Fields of papers citing papers by Gabriele Grillo

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gabriele Grillo

This figure shows the co-authorship network connecting the top 25 collaborators of Gabriele Grillo. A scholar is included among the top collaborators of Gabriele Grillo 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 Gabriele Grillo. Gabriele Grillo 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.
Grillo, Gabriele, Dario D. Monticelli, & Fabio Punzo. (2025). The porous medium equation on noncompact manifolds with nonnegative Ricci curvature: A Green function approach. Journal of Differential Equations. 430. 113191–113191.
2.
Bonforte, Matteo, et al.. (2023). The fractional porous medium equation on noncompact Riemannian manifolds. Mathematische Annalen. 389(4). 3603–3651. 4 indexed citations
3.
Grillo, Gabriele, et al.. (2021). Smoothing effects and infinite time blowup for reaction-diffusion equations: An approach via Sobolev and Poincare inequalities. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 9 indexed citations
4.
Grillo, Gabriele, et al.. (2021). Global existence of solutions and smoothing effects for classes of reaction–diffusion equations on manifolds. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 11 indexed citations
5.
Grillo, Gabriele, Kazuhiro Ishige, & Matteo Muratori. (2020). Nonlinear characterizations of stochastic completeness. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 8 indexed citations
6.
Grillo, Gabriele, et al.. (2020). An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 19 indexed citations
7.
D’Ambrosio, Lorenzo, et al.. (2017). ImprovedLp-Poincaré inequalities on the hyperbolic space. Nonlinear Analysis. 157. 146–166. 14 indexed citations
8.
Grillo, Gabriele, Matteo Muratori, & Fabio Punzo. (2017). The porous medium equation with large initial data on negatively curved Riemannian manifolds. Journal de Mathématiques Pures et Appliquées. 113. 195–226. 15 indexed citations
9.
Grillo, Gabriele, et al.. (2016). The porous medium equation with large initial data on negatively curved Riemannian manifolds. arXiv (Cornell University). 21 indexed citations
10.
Grillo, Gabriele & Hynek Kovařík. (2014). Weighted dispersive estimates for two-dimensional Schroedinger operators with Aharonov-Bohm magnetic field. Institutional Research Information System (Università degli Studi di Brescia). 7 indexed citations
11.
Grillo, Gabriele, Matteo Muratori, & Maria Michaela Porzio. (2012). Porous media equations with two weights: existence, uniqueness, smoothing and decay properties of energy solutions via Poincar\'e inequalities. arXiv (Cornell University). 7 indexed citations
12.
Grillo, Gabriele & Matteo Muratori. (2012). Sharp short and long timeL∞bounds for solutions to porous media equations with homogeneous Neumann boundary conditions. Journal of Differential Equations. 254(5). 2261–2288. 12 indexed citations
13.
Bonforte, Matteo, Gabriele Grillo, & Juan Luís Vázquez. (2011). Behaviour near extinction for the Fast Diffusion Equation on bounded domains. Journal de Mathématiques Pures et Appliquées. 97(1). 1–38. 31 indexed citations
14.
Bonforte, Matteo & Gabriele Grillo. (2007). Singular Evolution On Manifolds, Their Smoothing Properties, AND Sobolev Inequalities. Discrete and Continuous Dynamical Systems. 130–137. 6 indexed citations
15.
Blanchet, Adrien, Matteo Bonforte, Jean Dolbeault, Gabriele Grillo, & Juan Luís Vázquez. (2007). Hardy–Poincaré inequalities and applications to nonlinear diffusions. Comptes Rendus Mathématique. 344(7). 431–436. 32 indexed citations
16.
Cigolini, Roberto, et al.. (2006). How to involve operations managers in the strategic planning process. SHILAP Revista de lepidopterología. 2 indexed citations
17.
Cipriani, Fabio & Gabriele Grillo. (2002). Lq–L∞ Hölder continuity for quasilinear parabolic equations associated to Sobolev derivations. Journal of Mathematical Analysis and Applications. 270(1). 267–290. 15 indexed citations
18.
Cipriani, Fabio & Gabriele Grillo. (2001). Uniform Bounds for Solutions to Quasilinear Parabolic Equations. Journal of Differential Equations. 177(1). 209–234. 49 indexed citations
19.
Grillo, Gabriele. (1998). On Persson’s Theorem in Local Dirichiet Spaces. Zeitschrift für Analysis und ihre Anwendungen. 17(2). 329–338. 8 indexed citations
20.
Frigerio, Alberto & Gabriele Grillo. (1993). Asymptotic Behaviour of Time-Inhomogeneous Evolutions on von Neumann Algebras. Publications of the Research Institute for Mathematical Sciences. 29(5). 841–856. 1 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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