Donatella Danielli

2.1k total citations
40 papers, 1.2k citations indexed

About

Donatella Danielli is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Donatella Danielli has authored 40 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 16 papers in Computational Theory and Mathematics and 14 papers in Mathematical Physics. Recurrent topics in Donatella Danielli's work include Nonlinear Partial Differential Equations (20 papers), Geometric Analysis and Curvature Flows (17 papers) and Advanced Mathematical Modeling in Engineering (13 papers). Donatella Danielli is often cited by papers focused on Nonlinear Partial Differential Equations (20 papers), Geometric Analysis and Curvature Flows (17 papers) and Advanced Mathematical Modeling in Engineering (13 papers). Donatella Danielli collaborates with scholars based in United States, Italy and Canada. Donatella Danielli's co-authors include Nicola Garofalo, Luca Capogna, Duy-Minh Nhieu, Scott D. Pauls, Arshak Petrosyan, Jeremy T. Tyson, Henrik Shahgholian, Nguyen Cong Phuc, Sandro Salsa and M. Korten and has published in prestigious journals such as Advances in Mathematics, Journal of Differential Geometry and American Journal of Mathematics.

In The Last Decade

Donatella Danielli

36 papers receiving 1.1k citations

Peers

Donatella Danielli

CTM

Francesco Serra Cassano Italy

Luca Capogna United States

Jeremy T. Tyson United States

Duy-Minh Nhieu United States

Pierre Pansu France

Bruce Kleiner United States

Piotr Hajłasz United States

Alexander Nagel United States

Nageswari Shanmugalingam United States

Alberto G. Setti Italy

Francesco Serra Cassano Italy

Donatella Danielli

841 ×0.7

262 ×0.6

CTM

245 ×0.6

346 ×1.2

164 ×1.2

Citations per year, relative to Donatella Danielli Donatella Danielli (= 1×) peers Francesco Serra Cassano

Countries citing papers authored by Donatella Danielli

Since Specialization

Citations

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

Fields of papers citing papers by Donatella Danielli

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Donatella Danielli

This figure shows the co-authorship network connecting the top 25 collaborators of Donatella Danielli. A scholar is included among the top collaborators of Donatella Danielli 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 Donatella Danielli. Donatella Danielli is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Banerjee, A., Donatella Danielli, Nicola Garofalo, & Arshak Petrosyan. (2021). THE REGULAR FREE BOUNDARY IN THE THIN OBSTACLE PROBLEM FOR DEGENERATE PARABOLIC EQUATIONS. Padua Research Archive (University of Padova). 6 indexed citations

Danielli, Donatella, et al.. (2020). Advances in Harmonic Analysis and Partial Differential Equations. Contemporary mathematics - American Mathematical Society. 4 indexed citations

Danielli, Donatella, et al.. (2019). New Developments in the Analysis of Nonlocal Operators. Contemporary mathematics - American Mathematical Society. 16 indexed citations

Danielli, Donatella, Nicola Garofalo, & Duy-Minh Nhieu. (2011). Integrability of the sub-Riemannian mean curvature of surfaces in the Heisenberg group. Proceedings of the American Mathematical Society. 140(3). 811–821. 9 indexed citations

Danielli, Donatella, Nicola Garofalo, Duy-Minh Nhieu, & Scott D. Pauls. (2010). The Bernstein problem for embedded surfaces in the Heisenberg group $mathbb{H}^1$. Indiana University Mathematics Journal. 59(2). 563–594. 11 indexed citations

Danielli, Donatella, Nicola Garofalo, Duy-Minh Nhieu, & Scott D. Pauls. (2009). Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1. Journal of Differential Geometry. 81(2). 29 indexed citations

Danielli, Donatella, Nicola Garofalo, & Duy-Minh Nhieu. (2009). Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips. Mathematische Zeitschrift. 265(3). 617–637. 2 indexed citations

Danielli, Donatella, Nicola Garofalo, & Duy-Minh Nhieu. (2008). A partial solution of the isoperimetric problem for the Heisenberg group. Forum Mathematicum. 20(1). 19 indexed citations

Danielli, Donatella & Nicola Garofalo. (2008). Interior Cauchy-Schauder Estimates for the Heat Flow in Carnot-Carathéodory Spaces. Methods and Applications of Analysis. 15(1). 121–136. 3 indexed citations

10.

Danielli, Donatella, Nicola Garofalo, & Duy-Minh Nhieu. (2007). Sub-Riemannian calculus on hypersurfaces in Carnot groups. Advances in Mathematics. 215(1). 292–378. 58 indexed citations

11.

Danielli, Donatella, et al.. (2007). Recent Developments in Nonlinear Partial Differential Equations. Contemporary mathematics - American Mathematical Society. 19 indexed citations

12.

Danielli, Donatella, Nicola Garofalo, & Arshak Petrosyan. (2006). The sub-elliptic obstacle problem: C1,α regularity of the free boundary in Carnot groups of step two. Advances in Mathematics. 211(2). 485–516. 15 indexed citations

13.

Danielli, Donatella & Arshak Petrosyan. (2005). A minimum problem with free boundary for a degenerate quasilinear operator. Calculus of Variations and Partial Differential Equations. 23(1). 97–124. 57 indexed citations

14.

Danielli, Donatella, et al.. (2003). On the best possible character of the 𝐿^{𝑄} norm in some a priori estimates for non-divergence form equations in Carnot groups. Proceedings of the American Mathematical Society. 131(11). 3487–3498. 9 indexed citations

15.

Danielli, Donatella, Nicola Garofalo, & Duy-Minh Nhieu. (2003). Notions of Convexity in Carnot Groups. Communications in Analysis and Geometry. 11(2). 263–341. 72 indexed citations

16.

Danielli, Donatella, Nicola Garofalo, & Duy-Minh Nhieu. (1998). Trace inequalities for Carnot-Carathéodory spaces and applications. French digital mathematics library (Numdam). 27(2). 195–252. 52 indexed citations

17.

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

18.

Capogna, Luca, Donatella Danielli, & Nicola Garofalo. (1996). Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations. American Journal of Mathematics. 118(6). 1153–1196. 76 indexed citations

19.

Danielli, Donatella. (1995). Regularity at the boundary for solutions of nonlinear subelliptic equations. Indiana University Mathematics Journal. 44(1). 0–0. 40 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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