Marcello Lucia

602 total citations
45 papers, 376 citations indexed

About

Marcello Lucia is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Marcello Lucia has authored 45 papers receiving a total of 376 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 27 papers in Computational Theory and Mathematics and 14 papers in Mathematical Physics. Recurrent topics in Marcello Lucia's work include Nonlinear Partial Differential Equations (30 papers), Advanced Mathematical Modeling in Engineering (25 papers) and Nonlinear Differential Equations Analysis (10 papers). Marcello Lucia is often cited by papers focused on Nonlinear Partial Differential Equations (30 papers), Advanced Mathematical Modeling in Engineering (25 papers) and Nonlinear Differential Equations Analysis (10 papers). Marcello Lucia collaborates with scholars based in United States, Italy and Germany. Marcello Lucia's co-authors include S. Prashanth, Matteo Novaga, Cyrill B. Muratov, Chang‐Shou Lin, Bernd Kawohl, Margherita Nolasco, Nicolas Dirr, C. A. Stuart, David G. Dritschel and Zhongwei Tang and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Archive for Rational Mechanics and Analysis and Journal of Differential Equations.

In The Last Decade

Marcello Lucia

43 papers receiving 344 citations

Peers

Marcello Lucia

CTM

SNP

PHEOH

Jiangang Qi China

A. V. Sobolev United Kingdom

Renate Schaaf United States

Yifeng Yu United States

Marco Biroli Italy

H. Berestycki France

Jürgen Voigt Germany

Corrado Mascia Italy

María Ángeles Rodríguez‐Bellido Spain

Chao-Nien Chen Taiwan

Jiangang Qi China

Marcello Lucia

216 ×0.8

156 ×0.7

CTM

279 ×2.2

82 ×1.7

SNP

10 ×0.2

PHEOH

Citations per year, relative to Marcello Lucia Marcello Lucia (= 1×) peers Jiangang Qi

Countries citing papers authored by Marcello Lucia

Since Specialization

Citations

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

Fields of papers citing papers by Marcello Lucia

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Marcello Lucia

This figure shows the co-authorship network connecting the top 25 collaborators of Marcello Lucia. A scholar is included among the top collaborators of Marcello Lucia 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 Marcello Lucia. Marcello Lucia 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

Lucia, Marcello & S. Prashanth. (2018). Criticality theory for Schrödinger operators with singular potential. Journal of Differential Equations. 265(8). 3400–3440. 4 indexed citations

Cabré, Xavier, Marcello Lucia, Manel Sanchón, & Salvador Villegas. (2018). Antisymmetry of solutions for some weighted elliptic problems. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 1 indexed citations

Dritschel, David G., Marcello Lucia, & Andrew C. Poje. (2015). Ergodicity and spectral cascades in point vortex flows on the sphere. Physical Review E. 91(6). 63014–63014. 12 indexed citations

Dritschel, David G., Marcello Lucia, & Andrew C. Poje. (2014). Equilibrium statistics and dynamics of point vortex flows on the sphere. arXiv (Cornell University). 2 indexed citations

Lucia, Marcello, et al.. (2013). The $p$-harmonic boundary for metric measure spaces. arXiv (Cornell University). 1 indexed citations

Lucia, Marcello & Friedemann Schuricht. (2013). A class of degenerate elliptic eigenvalue problems. Advances in Nonlinear Analysis. 2(1). 91–125. 5 indexed citations

Lucia, Marcello & Zhongwei Tang. (2011). Multi-bump bound states for a system of nonlinear Schrödinger equations. Journal of Differential Equations. 252(5). 3630–3657. 5 indexed citations

Lucia, Marcello, et al.. (2009). A minimax theorem in the presence of unbounded Palais-Smale sequences. Israel Journal of Mathematics. 172(1). 125–143. 1 indexed citations

Lucia, Marcello, et al.. (2009). Eigenvalue problems with weights in Lorentz spaces. Calculus of Variations and Partial Differential Equations. 36(3). 355–376. 6 indexed citations

10.

Lucia, Marcello. (2007). A deformation lemma with an application to a mean field equation. Topological Methods in Nonlinear Analysis. 30(1). 113–138. 25 indexed citations

11.

Lucia, Marcello. (2006). A blowing-up branch of solutions for a mean field equation. Calculus of Variations and Partial Differential Equations. 26(3). 313–330. 9 indexed citations

12.

Lucia, Marcello. (2005). On the uniqueness and simplicity of the principal eigenvalue. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 16(2). 133–142. 4 indexed citations

13.

Lucia, Marcello & Lei Zhang. (2005). A priori estimates and uniqueness for some mean field equations. Journal of Differential Equations. 217(1). 154–178. 8 indexed citations

14.

Lin, Chang‐Shou & Marcello Lucia. (2005). Uniqueness of solutions for a mean field equation on torus. Journal of Differential Equations. 229(1). 172–185. 20 indexed citations

15.

Lucia, Marcello. (2005). A deformation lemma for a Moser-Trudinger type functional. Nonlinear Analysis. 63(2). 282–299. 4 indexed citations

16.

Lucia, Marcello, Cyrill B. Muratov, & Matteo Novaga. (2004). Linear vs. nonlinear selection for the propagation speed of the solutions of scalar reaction‐diffusion equations invading an unstable equilibrium. Communications on Pure and Applied Mathematics. 57(5). 616–636. 53 indexed citations

17.

Lucia, Marcello & S. Prashanth. (2003). Strong comparison principle for solutions of quasilinear equations. Proceedings of the American Mathematical Society. 132(4). 1005–1011. 17 indexed citations

18.

Lucia, Marcello & Margherita Nolasco. (2002). SU(3) Chern–Simons Vortex Theory and Toda Systems. Journal of Differential Equations. 184(2). 443–474. 24 indexed citations

19.

Lucia, Marcello, et al.. (1999). The branch of positive solutions to a semilinear elliptic equation on $\mathbb {R}^N$. Rendiconti del Seminario Matematico della Università di Padova. 101. 229–262. 3 indexed citations

20.

Lucia, Marcello, et al.. (1999). Branches of solutions to semilinear elliptic equations on $\mathbb{R}^N$. Mathematische Zeitschrift. 230(1). 79–105. 11 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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