Elvise Berchio

481 total citations
24 papers, 259 citations indexed

About

Elvise Berchio is a scholar working on Applied Mathematics, Control and Systems Engineering and Computational Theory and Mathematics. According to data from OpenAlex, Elvise Berchio has authored 24 papers receiving a total of 259 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Applied Mathematics, 8 papers in Control and Systems Engineering and 8 papers in Computational Theory and Mathematics. Recurrent topics in Elvise Berchio's work include Nonlinear Partial Differential Equations (9 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Vibration and Dynamic Analysis (5 papers). Elvise Berchio is often cited by papers focused on Nonlinear Partial Differential Equations (9 papers), Advanced Mathematical Modeling in Engineering (8 papers) and Vibration and Dynamic Analysis (5 papers). Elvise Berchio collaborates with scholars based in Italy, India and United States. Elvise Berchio's co-authors include Filippo Gazzola, Alberto Ferrero, Enzo Mitidieri, Daniele Cassani, Alberto Farina, Chiara Zanini, Dario Pierotti, Giovanni P. Galdi, Denis Bonheure and Gabriele Grillo and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Differential Equations and Nonlinear Analysis.

In The Last Decade

Elvise Berchio

23 papers receiving 234 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Elvise Berchio Italy 10 133 112 107 63 42 24 259
Ionel Rovenţa Romania 12 105 0.8× 123 1.1× 136 1.3× 71 1.1× 12 0.3× 38 269
F. Demengel France 9 171 1.3× 141 1.3× 31 0.3× 85 1.3× 14 0.3× 15 267
Goro Akagi Japan 12 254 1.9× 260 2.3× 113 1.1× 77 1.2× 5 0.1× 46 395
Mehdi Badra France 11 149 1.1× 194 1.7× 270 2.5× 124 2.0× 7 0.2× 26 326
Jianwen Zhou China 10 326 2.5× 72 0.6× 41 0.4× 60 1.0× 8 0.2× 28 391
Qiaozhen Ma China 11 59 0.4× 284 2.5× 323 3.0× 110 1.7× 15 0.4× 58 373
Dexing Feng China 12 59 0.4× 221 2.0× 335 3.1× 126 2.0× 7 0.2× 45 377
Jaroslav Milota Czechia 6 138 1.0× 134 1.2× 95 0.9× 72 1.1× 3 0.1× 15 253
Marié Grobbelaar‐Van Dalsen South Africa 13 86 0.6× 267 2.4× 307 2.9× 122 1.9× 4 0.1× 30 340
Masakazu Onitsuka Japan 12 291 2.2× 49 0.4× 93 0.9× 53 0.8× 16 0.4× 52 364

Countries citing papers authored by Elvise Berchio

Since Specialization
Citations

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

Fields of papers citing papers by Elvise Berchio

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Elvise Berchio

This figure shows the co-authorship network connecting the top 25 collaborators of Elvise Berchio. A scholar is included among the top collaborators of Elvise Berchio 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 Elvise Berchio. Elvise Berchio 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.
Berchio, Elvise, Denis Bonheure, Giovanni P. Galdi, Filippo Gazzola, & Simona Perotto. (2024). Equilibrium Configurations of a Symmetric Body Immersed in a Stationary Navier–Stokes Flow in a Planar Channel. SIAM Journal on Mathematical Analysis. 56(3). 3759–3801. 4 indexed citations
2.
Berchio, Elvise, et al.. (2024). On the long-time behaviour of solutions to unforced evolution Navier–Stokes equations under Navier boundary conditions. Nonlinear Analysis Real World Applications. 79. 104102–104102. 3 indexed citations
3.
Berchio, Elvise, et al.. (2022). Hardy–Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs. Calculus of Variations and Partial Differential Equations. 61(4). 8 indexed citations
4.
Berchio, Elvise, et al.. (2021). Maximizing the ratio of eigenvalues of non-homogeneous partially hinged plates. Virtual Community of Pathological Anatomy (University of Castilla La Mancha). 2 indexed citations
5.
Berchio, Elvise, et al.. (2021). On the Stability of a Nonlinear Nonhomogeneous Multiply Hinged Beam. SIAM Journal on Applied Dynamical Systems. 20(2). 908–940. 2 indexed citations
6.
Berchio, Elvise, et al.. (2020). On some strong Poincaré inequalities on Riemannian models and their improvements. Journal of Mathematical Analysis and Applications. 490(1). 124213–124213. 4 indexed citations
7.
Berchio, Elvise, et al.. (2020). About Symmetry in Partially Hinged Composite Plates. Applied Mathematics & Optimization. 84(3). 2645–2669. 4 indexed citations
8.
Berchio, Elvise, et al.. (2020). A positivity preserving property result for the biharmonic operator under partially hinged boundary conditions. Annali di Matematica Pura ed Applicata (1923 -). 200(4). 1651–1681. 2 indexed citations
9.
Berchio, Elvise, et al.. (2019). Improved multipolar Poincaré–Hardy inequalities on Cartan–Hadamard manifolds. Annali di Matematica Pura ed Applicata (1923 -). 199(1). 65–80. 3 indexed citations
10.
Berchio, Elvise, et al.. (2017). Energy transfer between modes in a nonlinear beam equation. Journal de Mathématiques Pures et Appliquées. 108(6). 885–917. 13 indexed citations
11.
Berchio, Elvise, et al.. (2016). On the variation of longitudinal and torsional frequencies in a partially hinged rectangular plate. ESAIM Control Optimisation and Calculus of Variations. 24(1). 63–87. 6 indexed citations
12.
Berchio, Elvise, Filippo Gazzola, & Chiara Zanini. (2016). Which Residual Mode Captures the Energy of the Dominating Mode in Second Order Hamiltonian Systems?. SIAM Journal on Applied Dynamical Systems. 15(1). 338–355. 10 indexed citations
13.
Berchio, Elvise, Alberto Ferrero, & Filippo Gazzola. (2015). Structural instability of nonlinear plates modelling suspension bridges: Mathematical answers to some long-standing questions. Nonlinear Analysis Real World Applications. 28. 91–125. 34 indexed citations
14.
Berchio, Elvise, Alberto Farina, Alberto Ferrero, & Filippo Gazzola. (2011). Existence and stability of entire solutions to a semilinear fourth order elliptic problem. Journal of Differential Equations. 252(3). 2596–2616. 18 indexed citations
15.
Berchio, Elvise. (2011). On the second solution to a critical growth Robin problem. Journal of Mathematical Analysis and Applications. 389(2). 950–967. 1 indexed citations
16.
Berchio, Elvise, et al.. (2011). Qualitative behavior of global solutions to some nonlinear fourth order differential equations. Journal of Differential Equations. 251(10). 2696–2727. 18 indexed citations
17.
Berchio, Elvise, Daniele Cassani, & Filippo Gazzola. (2009). Hardy–Rellich inequalities with boundary remainder terms and applications. manuscripta mathematica. 131(3-4). 427–458. 16 indexed citations
18.
Berchio, Elvise, Filippo Gazzola, & Dario Pierotti. (2009). Gelfand type elliptic problems under Steklov boundary conditions. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 27(1). 315–335. 9 indexed citations
19.
Berchio, Elvise. (2008). On the sign of solutions to some linear parabolic biharmonic equations. Advances in Differential Equations. 13(9-10). 5 indexed citations
20.
Berchio, Elvise, Filippo Gazzola, & Enzo Mitidieri. (2006). Positivity preserving property for a class of biharmonic elliptic problems. Journal of Differential Equations. 229(1). 1–23. 47 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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