Francesca Da Lio

1.1k total citations
30 papers, 509 citations indexed

About

Francesca Da Lio is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Francesca Da Lio has authored 30 papers receiving a total of 509 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Applied Mathematics, 17 papers in Computational Theory and Mathematics and 8 papers in Mathematical Physics. Recurrent topics in Francesca Da Lio's work include Nonlinear Partial Differential Equations (22 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Geometric Analysis and Curvature Flows (9 papers). Francesca Da Lio is often cited by papers focused on Nonlinear Partial Differential Equations (22 papers), Advanced Mathematical Modeling in Engineering (13 papers) and Geometric Analysis and Curvature Flows (9 papers). Francesca Da Lio collaborates with scholars based in Italy, Switzerland and France. Francesca Da Lio's co-authors include Martino Bardi, Guy Barles, Olivier Ley, Tristan Rivière, Armin Schikorra, Nicolas Forcadel, Régis Monneau, Annamaria Montanari, Dejan Slepčev and Alessandra Cutrı̀ and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Francesca Da Lio

29 papers receiving 459 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Francesca Da Lio Italy 15 393 273 115 85 78 30 509
Nicoletta Tchou France 12 183 0.5× 204 0.7× 125 1.1× 70 0.8× 48 0.6× 51 359
Maciej Kocan Australia 10 370 0.9× 286 1.0× 156 1.4× 87 1.0× 93 1.2× 14 496
Olivier Alvarez France 13 412 1.0× 375 1.4× 139 1.2× 159 1.9× 74 0.9× 21 656
Hiroyoshi Mitake Japan 12 214 0.5× 127 0.5× 66 0.6× 74 0.9× 23 0.3× 36 343
M. V. Safonov United States 11 572 1.5× 421 1.5× 267 2.3× 52 0.6× 45 0.6× 24 690
Jiagang Ren China 12 244 0.6× 181 0.7× 182 1.6× 360 4.2× 91 1.2× 45 534
Zhen-Qing Chen United States 15 391 1.0× 288 1.1× 431 3.7× 241 2.8× 39 0.5× 23 685
Annalisa Cesaroni Italy 9 123 0.3× 106 0.4× 55 0.5× 77 0.9× 53 0.7× 48 251
Paolo Acquistapace Italy 12 449 1.1× 349 1.3× 183 1.6× 55 0.6× 374 4.8× 31 651
Mateusz Kwaśnicki Poland 9 170 0.4× 158 0.6× 195 1.7× 79 0.9× 19 0.2× 29 360

Countries citing papers authored by Francesca Da Lio

Since Specialization
Citations

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

Fields of papers citing papers by Francesca Da Lio

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Francesca Da Lio. 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 Francesca Da Lio. The network helps show where Francesca Da Lio may publish in the future.

Co-authorship network of co-authors of Francesca Da Lio

This figure shows the co-authorship network connecting the top 25 collaborators of Francesca Da Lio. A scholar is included among the top collaborators of Francesca Da Lio 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 Francesca Da Lio. Francesca Da Lio 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.
Lio, Francesca Da & Tristan Rivière. (2025). Conservation Laws for p-Harmonic Systems with Antisymmetric Potentials and Applications. Archive for Rational Mechanics and Analysis. 249(2).
2.
Lio, Francesca Da & Luca Martinazzi. (2017). The nonlocal Liouville-type equation in $$\mathbb {R}$$ R and conformal immersions of the disk with boundary singularities. Calculus of Variations and Partial Differential Equations. 56(5). 4 indexed citations
3.
Lio, Francesca Da, et al.. (2017). Horizontal α-Harmonic Maps. Repository for Publications and Research Data (ETH Zurich). 1 indexed citations
4.
Lio, Francesca Da & Armin Schikorra. (2012). n / p -harmonic maps: Regularity for the sphere case. Advances in Calculus of Variations. 7(1). 1–26. 16 indexed citations
5.
Lio, Francesca Da. (2012). Fractional harmonic maps into manifolds in odd dimension n > 1. Calculus of Variations and Partial Differential Equations. 48(3-4). 421–445. 17 indexed citations
6.
Lio, Francesca Da & Tristan Rivière. (2011). Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps. Advances in Mathematics. 227(3). 1300–1348. 34 indexed citations
7.
Lio, Francesca Da & Olivier Ley. (2010). Convex Hamilton-Jacobi Equations Under Superlinear Growth Conditions on Data. Applied Mathematics & Optimization. 63(3). 309–339. 16 indexed citations
8.
Lio, Francesca Da. (2008). Partial Regularity for Stationary Solutions to Liouville-Type Equation in Dimension 3. Communications in Partial Differential Equations. 33(10). 1890–1910. 5 indexed citations
9.
Lio, Francesca Da, Nicolas Forcadel, & Régis Monneau. (2008). Convergence of a non-local eikonal equation to anisotropic mean curvature motion. Application to dislocations dynamics. Journal of the European Mathematical Society. 10(4). 1061–1104. 18 indexed citations
10.
Lio, Francesca Da. (2007). Large time behavior of solutions to parabolic equations with Neumann boundary conditions. Journal of Mathematical Analysis and Applications. 339(1). 384–398. 14 indexed citations
11.
Lio, Francesca Da & Luigi Rodino. (2006). A Pizzetti-type formula for the heat operator. Archiv der Mathematik. 87(3). 261–271. 3 indexed citations
12.
Lio, Francesca Da & Olivier Ley. (2006). Uniqueness Results for Second-Order Bellman--Isaacs Equations under Quadratic Growth Assumptions and Applications. SIAM Journal on Control and Optimization. 45(1). 74–106. 43 indexed citations
13.
Barles, Guy & Francesca Da Lio. (2005). LocalC0,αestimates for viscosity solutions of Neumann-type boundary value problems. Journal of Differential Equations. 225(1). 202–241. 9 indexed citations
14.
Lio, Francesca Da & Annamaria Montanari. (2005). Existence and uniqueness of Lipschitz continuous graphs with prescribed Levi curvature. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 23(1). 1–28. 6 indexed citations
15.
Lio, Francesca Da, et al.. (2004). Nonlocal front propagation problems in bounded domains with Neumann‐type boundary conditions and applications. Asymptotic Analysis. 37(3-4). 257–292. 8 indexed citations
16.
Barles, Guy & Francesca Da Lio. (2003). On the generalized Dirichlet problem for viscous Hamilton–Jacobi equations. Journal de Mathématiques Pures et Appliquées. 83(1). 53–75. 46 indexed citations
17.
Bardi, Martino & Francesca Da Lio. (2003). Propagation of maxima and strong maximum principle for viscosity solutions of degenerate elliptic equations. II: Concave operators. Indiana University Mathematics Journal. 52(3). 607–628. 13 indexed citations
18.
Lio, Francesca Da & William M. McEneaney. (2002). Finite Time--Horizon Risk-Sensitive Control and the Robust Limit under a Quadratic Growth Assumption. SIAM Journal on Control and Optimization. 40(5). 1628–1661. 4 indexed citations
19.
Lio, Francesca Da. (2000). On the Bellman Equation for Infinite Horizon Problems with Unbounded Cost Functional. Applied Mathematics & Optimization. 41(2). 171–197. 25 indexed citations
20.
Bardi, Martino & Francesca Da Lio. (1999). On the strong maximum principle for fully nonlinear degenerate elliptic equations. Archiv der Mathematik. 73(4). 276–285. 72 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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