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.
Viscosity solutions of Hamilton-Jacobi equations
19831.7k citationsMichael G. Crandall, Pierre‐Louis LionsTransactions of the American Mathematical Societyprofile →
The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.
Countries citing papers authored by Pierre‐Louis Lions
Since
Specialization
Citations
This map shows the geographic impact of Pierre‐Louis Lions'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 Pierre‐Louis Lions with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Pierre‐Louis Lions more than expected).
Fields of papers citing papers by Pierre‐Louis Lions
This network shows the impact of papers produced by Pierre‐Louis Lions. 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 Pierre‐Louis Lions. The network helps show where Pierre‐Louis Lions may publish in the future.
Co-authorship network of co-authors of Pierre‐Louis Lions
This figure shows the co-authorship network connecting the top 25 collaborators of Pierre‐Louis Lions.
A scholar is included among the top collaborators of Pierre‐Louis Lions 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 Pierre‐Louis Lions. Pierre‐Louis Lions is excluded from
the visualization to improve readability, since they are connected to all nodes in the network.
Lasry, Jean‐Michel & Pierre‐Louis Lions. (2011). Grandes déviations pour des processus de diffusion couplés par un processus de sauts. Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine).1 indexed citations
7.
Lions, Pierre‐Louis & Cédric Villani. (2011). Régularité optimale de racines carrées. Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine).4 indexed citations
8.
Lasry, Jean‐Michel & Pierre‐Louis Lions. (2006). Jeux à champ moyen. I – Le cas stationnaire. Comptes Rendus Mathématique. 343(9). 619–625.537 indexed citations breakdown →
Lions, Pierre‐Louis. (2000). On Some Challenging Problems in Nonlinear Partial Differential Equations. Base Institutionnelle de Recherche de l'université Paris-Dauphine (BIRD) (University Paris-Dauphine).7 indexed citations
Lions, Pierre‐Louis & Filomena Pacella. (1990). Isoperimetric inequalities for convex cones. Proceedings of the American Mathematical Society. 109(2). 477–485.43 indexed citations
13.
Zelati, Vittorio Coti, Ivar Ekeland, & Pierre‐Louis Lions. (1990). Index estimates and critical points of functionals not satisfying Palais-Smale. Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. 17(4). 569–581.7 indexed citations
Crandall, Michael G. & Pierre‐Louis Lions. (1983). Viscosity solutions of Hamilton-Jacobi equations. Transactions of the American Mathematical Society. 277(1). 1–42.1690 indexed citations breakdown →
18.
Lions, Pierre‐Louis, Jindřich Nečas, & Ivan Netuka. (1982). A Liouville theorem for nonlinear elliptic systems with isotropic nonlinearities. Commentationes Mathematicae Universitatis Carolinae. 23(4). 645–655.5 indexed citations
Lions, Pierre‐Louis. (1980). Équations de Hamilton-Jacobi-Bellman. French digital mathematics library (Numdam). 1–8.4 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.