Piero Montecchiari

470 total citations
41 papers, 348 citations indexed

About

Piero Montecchiari is a scholar working on Applied Mathematics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, Piero Montecchiari has authored 41 papers receiving a total of 348 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Applied Mathematics, 25 papers in Computational Theory and Mathematics and 12 papers in Mathematical Physics. Recurrent topics in Piero Montecchiari's work include Nonlinear Partial Differential Equations (32 papers), Advanced Mathematical Modeling in Engineering (24 papers) and Nonlinear Differential Equations Analysis (13 papers). Piero Montecchiari is often cited by papers focused on Nonlinear Partial Differential Equations (32 papers), Advanced Mathematical Modeling in Engineering (24 papers) and Nonlinear Differential Equations Analysis (13 papers). Piero Montecchiari collaborates with scholars based in Italy, United States and Brazil. Piero Montecchiari's co-authors include Louis Jeanjean, Margherita Nolasco, Paul H. Rabinowitz, Maria Letizia Bertotti, Alessandro Calamai, Susanna Terracini, Paolo Caldiroli, Vittorio Coti Zelati, Jaeyoung Byeon and Changfeng Gui and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Differential Equations and Nonlinear Analysis.

In The Last Decade

Piero Montecchiari

40 papers receiving 326 citations

Peers

Piero Montecchiari

CTM

Juncheng Wei Hong Kong

Xiaosong Kang Canada

Yasuhito Miyamoto Japan

Yu. V. Pokornyi Russia

R.C.A.M. van der Vorst Netherlands

S. L. Yadava India

Reinhard Mennicken Germany

Guanwei Chen China

M. Faierman South Africa

Christian Remling Germany

Juncheng Wei Hong Kong

Piero Montecchiari

223 ×0.8

177 ×0.8

CTM

126 ×1.1

59 ×1.0

11 ×0.2

Citations per year, relative to Piero Montecchiari Piero Montecchiari (= 1×) peers Juncheng Wei

Countries citing papers authored by Piero Montecchiari

Since Specialization

Citations

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

Fields of papers citing papers by Piero Montecchiari

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Piero Montecchiari

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Alves, Claudianor O., et al.. (2025). Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems. Analysis and Applications. 23(7). 1093–1128.

Alves, Claudianor O., et al.. (2023). Existence of saddle-type solutions for a class of quasilinear problems in R^2. Topological Methods in Nonlinear Analysis. 1–44. 1 indexed citations

Alves, Claudianor O., et al.. (2022). Existence of heteroclinic and saddle-type solutions for a class of quasilinear problems in whole ℝ2. Communications in Contemporary Mathematics. 26(2). 2 indexed citations

Montecchiari, Piero, et al.. (2019). Saddle solutions for a class of systems of periodic and reversible semilinear elliptic equations. Networks and Heterogeneous Media. 14(3). 567–587. 1 indexed citations

Gui, Changfeng, et al.. (2016). Saddle solutions to Allen-Cahn equations in doubly periodic media. Indiana University Mathematics Journal. 65(1). 199–221. 6 indexed citations

Montecchiari, Piero, et al.. (2016). Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential. Journal of Fixed Point Theory and Applications. 19(1). 691–717. 1 indexed citations

Rabinowitz, Paul H. & Piero Montecchiari. (2014). On the existence of multi-transition solutions for a class of elliptic systems. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 33(1). 199–219. 10 indexed citations

Montecchiari, Piero, et al.. (2014). Multiplicity of layered solutions for Allen–Cahn systems with symmetric double well potential. Journal of Differential Equations. 257(12). 4572–4599. 10 indexed citations

Montecchiari, Piero, et al.. (2007). Brake orbits type solutions to some class of semilinear elliptic equations. Calculus of Variations and Partial Differential Equations. 30(1). 51–83. 14 indexed citations

10.

Calamai, Alessandro, et al.. (2007). Saddle-type solutions for a class of semilinear elliptic equations. Advances in Differential Equations. 12(4). 27 indexed citations

11.

Montecchiari, Piero, et al.. (2005). Multiplicity of Entire Solutions For a Class of Almost Periodic Allen-Cahn Type Equations. Advanced Nonlinear Studies. 5(4). 515–549. 19 indexed citations

12.

Caldiroli, Paolo, et al.. (2001). Inﬁnitely many solutions for a class of semilinear elliptic equations in RN. Institutional Research Information System University of Turin (University of Turin). 1 indexed citations

13.

Caldiroli, Paolo, et al.. (1999). Genericity of the multibump dynamics for almost periodic Duffing-like systems. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 129(5). 885–901. 9 indexed citations

14.

Bertotti, Maria Letizia, et al.. (1999). Multibump solutions to possibly degenerate equilibria for almost periodic Lagrangian systems. Zeitschrift für angewandte Mathematik und Physik. 50(6). 860–860. 11 indexed citations

15.

Caldiroli, Paolo, et al.. (1998). Genericity of the existence of infinitely many solutions for a class of semilinear elliptic equations in $\mathbb {R}^N$. French digital mathematics library (Numdam). 27(1). 47–68. 4 indexed citations

16.

Bertotti, Maria Letizia & Piero Montecchiari. (1998). Connecting Orbits for Some Classes of Almost Periodic Lagrangian Systems. Journal of Differential Equations. 145(2). 453–468. 13 indexed citations

17.

Montecchiari, Piero, Margherita Nolasco, & Susanna Terracini. (1997). Multiplicity of homoclinics for a class of time recurrent second order Hamiltonian systems. Calculus of Variations and Partial Differential Equations. 5(6). 523–555. 14 indexed citations

18.

Montecchiari, Piero. (1996). Multiplicity results for a class of semilinear elliptic equations on $\mathbb {R}^m$. Rendiconti del Seminario Matematico della Università di Padova. 95. 217–252. 12 indexed citations

19.

Montecchiari, Piero. (1995). Existence and multiplicity of homoclinic orbits for a class of asymptotically periodic second order Hamiltonian systems. Annali di Matematica Pura ed Applicata (1923 -). 168(1). 317–354. 14 indexed citations

20.

Montecchiari, Piero. (1993). Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni. 4(4). 265–271. 1 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.

Explore authors with similar magnitude of impact