Raffaella Servadei

5.1k total citations · 5 hit papers
60 papers, 3.3k citations indexed

About

Raffaella Servadei is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Raffaella Servadei has authored 60 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Applied Mathematics, 47 papers in Computational Theory and Mathematics and 22 papers in Mathematical Physics. Recurrent topics in Raffaella Servadei's work include Nonlinear Partial Differential Equations (54 papers), Advanced Mathematical Modeling in Engineering (44 papers) and Nonlinear Differential Equations Analysis (28 papers). Raffaella Servadei is often cited by papers focused on Nonlinear Partial Differential Equations (54 papers), Advanced Mathematical Modeling in Engineering (44 papers) and Nonlinear Differential Equations Analysis (28 papers). Raffaella Servadei collaborates with scholars based in Italy, Germany and Brazil. Raffaella Servadei's co-authors include Enrico Valdinoci, Giovanni Molica Bisci, Vicenţiu D. Rădulescu, Alessio Fiscella, Patrizia Pucci, Eduardo Colorado, Begoña Barrios, Fernando Soria, Binlin Zhang and M. Matzeu and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Raffaella Servadei

58 papers receiving 3.1k citations

Hit Papers

Variational Methods for Nonlocal Fractional Problems 2011 2026 2016 2021 2016 2011 2012 2014 2014 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Variational Methods for Nonlocal Fractional Problems
    2016 507 citations Giovanni Molica Bisci, Vicenţiu D. Rădulescu et al. profile →
  2. Mountain Pass solutions for non-local elliptic operators
    2011 456 citations Raffaella Servadei, Enrico Valdinoci Journal of Mathematical Analysis and Applications profile →
  3. Variational methods for non-local operatorsof elliptic type
    2012 444 citations Raffaella Servadei, Enrico Valdinoci profile →
  4. The Brezis-Nirenberg result for the fractional Laplacian
    2014 350 citations Raffaella Servadei, Enrico Valdinoci Transactions of the American Mathematical Society profile →
  5. On the spectrum of two different fractional operators
    2014 178 citations Raffaella Servadei, Enrico Valdinoci Proceedings of the Royal Society of Edinburgh Section A Mathematics profile →

Peers

Raffaella Servadei
Kanishka Perera United States
Xavier Ros‐Oton Spain
Mingqi Xiang China
Gabriele Bonanno Italy
Alexander Quaas Chile
Mahamadi Warma Puerto Rico
Joaquim Serra Spain
Tsung‐fang Wu Taiwan
Giovany M. Figueiredo Brazil
Olı́mpio H. Miyagaki Brazil
Kanishka Perera United States
Raffaella Servadei
Citations per year, relative to Raffaella Servadei Raffaella Servadei (= 1×) peers Kanishka Perera

Countries citing papers authored by Raffaella Servadei

Since Specialization
Citations

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

Fields of papers citing papers by Raffaella Servadei

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Raffaella Servadei

This figure shows the co-authorship network connecting the top 25 collaborators of Raffaella Servadei. A scholar is included among the top collaborators of Raffaella Servadei 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 Raffaella Servadei. Raffaella Servadei 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.
Bisci, Giovanni Molica & Raffaella Servadei. (2025). On a sublinear nonlocal fractional problem. Nonlinear Analysis Modelling and Control. 30(1). 72–82. 1 indexed citations
2.
Bögelein, Verena, et al.. (2025). Regularity for the fractional p-Laplace equation. Journal of Functional Analysis. 289(9). 111078–111078. 5 indexed citations
3.
Bögelein, Verena, et al.. (2024). Higher regularity theory for $(s,p)$-harmonic functions. Rendiconti Lincei Matematica e Applicazioni. 35(2). 311–321. 1 indexed citations
4.
Bisci, Giovanni Molica, Dušan Repovš, & Raffaella Servadei. (2019). Nontrivial solutions of superlinear nonlocal problems. Repository of the University of Ljubljana (University of Ljubljana). 5 indexed citations
5.
Bisci, Giovanni Molica, Dušan Repovš, & Raffaella Servadei. (2017). Nonlinear problems on the Sierpiński gasket. Journal of Mathematical Analysis and Applications. 452(2). 883–895. 9 indexed citations
6.
Fiscella, Alessio, Giovanni Molica Bisci, & Raffaella Servadei. (2015). Bifurcation and multiplicity results for critical nonlocal fractional Laplacian problems. Bulletin des Sciences Mathématiques. 140(1). 14–35. 32 indexed citations
7.
Bisci, Giovanni Molica & Raffaella Servadei. (2015). Lower semicontinuity of functionals of fractional type and applications to nonlocal equations with critical Sobolev exponent. Advances in Differential Equations. 20(7/8). 26 indexed citations
8.
Servadei, Raffaella & Enrico Valdinoci. (2014). The Brezis-Nirenberg result for the fractional Laplacian. Transactions of the American Mathematical Society. 367(1). 67–102. 350 indexed citations breakdown →
9.
Servadei, Raffaella & Enrico Valdinoci. (2014). On the spectrum of two different fractional operators. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 144(4). 831–855. 178 indexed citations breakdown →
10.
Fiscella, Alessio, Raffaella Servadei, & Enrico Valdinoci. (2014). Asymptotically linear problems driven by fractional Laplacian operators. Open MIND. 3 indexed citations
11.
Bisci, Giovanni Molica, Vicenţiu D. Rădulescu, & Raffaella Servadei. (2013). Low- and high-energy solutions of nonlinear elliptic oscillatory problems. Comptes Rendus Mathématique. 352(2). 117–122. 2 indexed citations
12.
Servadei, Raffaella. (2013). The Yamabe equation in a non-local setting. Advances in Nonlinear Analysis. 2(3). 235–270. 70 indexed citations
13.
Servadei, Raffaella & Enrico Valdinoci. (2013). Weak and viscosity solutions of the fractional Laplace equation. Publicacions Matemàtiques. 58. 133–154. 120 indexed citations
14.
Matzeu, M. & Raffaella Servadei. (2012). On Variational Inequalities Driven by Elliptic Operators Not in Divergence Form. Advanced Nonlinear Studies. 12(3). 597–619. 1 indexed citations
15.
Servadei, Raffaella. (2011). A semilinear elliptic PDE not in divergence form via variational methods. Journal of Mathematical Analysis and Applications. 383(1). 190–199. 13 indexed citations
16.
Grossi, Massimo & Raffaella Servadei. (2006). Morse index for solutions of the nonlinear Schrödinger equation in a degenerate setting. Annali di Matematica Pura ed Applicata (1923 -). 186(3). 433–453. 8 indexed citations
17.
Servadei, Raffaella & Enrico Valdinoci. (2005). A multiplicity result for a class of nonlinear variational inequalities. Nonlinear studies. 12(1). 37–48. 6 indexed citations
18.
Cardinali, Tiziana & Raffaella Servadei. (2003). Existence theorems for periodic semilinear impulsive problems (viable and not viable cases). Pure mathematics and applications. 14(3). 161–171.
19.
Servadei, Raffaella, et al.. (2002). A stability result for mountain pass type solutions of semilinear elliptic variational inequalities. Nonlinear studies. 9(4). 387–405. 3 indexed citations
20.
Matzeu, M. & Raffaella Servadei. (2002). A Linking Type Method to Solve a Class of Semilinear Elliptic Variational Inequalities. Advanced Nonlinear Studies. 2(1). 1–17. 10 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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