Enno Lenzmann

2.3k total citations · 2 hit papers
29 papers, 1.2k citations indexed

About

Enno Lenzmann is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Enno Lenzmann has authored 29 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 12 papers in Statistical and Nonlinear Physics and 11 papers in Applied Mathematics. Recurrent topics in Enno Lenzmann's work include Advanced Mathematical Physics Problems (23 papers), Nonlinear Waves and Solitons (11 papers) and Spectral Theory in Mathematical Physics (9 papers). Enno Lenzmann is often cited by papers focused on Advanced Mathematical Physics Problems (23 papers), Nonlinear Waves and Solitons (11 papers) and Spectral Theory in Mathematical Physics (9 papers). Enno Lenzmann collaborates with scholars based in Switzerland, United States and France. Enno Lenzmann's co-authors include Rupert L. Frank, Jürg Fröhlich, Luís Silvestre, B. L. G. Jonsson, Mathieu Lewin, Pierre Raphaël, Armin Schikorra, Joachim Krieger, Sebastian Herr and Patrick Gérard and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Archive for Rational Mechanics and Analysis.

In The Last Decade

Enno Lenzmann

28 papers receiving 1.1k citations

Hit Papers

Uniqueness of Radial Solutions for the Fractional Laplacian 2013 2026 2017 2021 2015 2013 50 100 150 200 250
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. Uniqueness of Radial Solutions for the Fractional Laplacian
    2015 265 citations Rupert L. Frank, Enno Lenzmann et al. Communications on Pure and Applied Mathematics profile →
  2. Uniqueness of non-linear ground states for fractional Laplacians in ${\mathbb{R}}$
    2013 241 citations Rupert L. Frank, Enno Lenzmann profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Enno Lenzmann Switzerland 16 928 763 291 251 141 29 1.2k
Pierre Raphaël France 25 1.5k 1.7× 762 1.0× 792 2.7× 70 0.3× 416 3.0× 50 1.8k
Tadahiro Oh United Kingdom 20 1.0k 1.1× 488 0.6× 434 1.5× 31 0.1× 219 1.6× 80 1.1k
Don Hinton United States 22 1.1k 1.2× 771 1.0× 294 1.0× 744 3.0× 67 0.5× 99 1.5k
Michael Kunzinger Austria 17 577 0.6× 267 0.3× 177 0.6× 66 0.3× 17 0.1× 46 840
Stephen J. Gustafson Canada 17 578 0.6× 191 0.3× 420 1.4× 47 0.2× 89 0.6× 32 762
Nataša Pavlović United States 16 610 0.7× 537 0.7× 140 0.5× 36 0.1× 195 1.4× 40 840
Ари Лаптев United Kingdom 16 700 0.8× 441 0.6× 74 0.3× 407 1.6× 28 0.2× 88 884
Gisèle Ruiz Goldstein United States 16 339 0.4× 286 0.4× 26 0.1× 432 1.7× 242 1.7× 59 678
M. Keel United States 16 2.5k 2.7× 1.3k 1.7× 1.1k 3.6× 46 0.2× 568 4.0× 21 2.6k
Alexander Komech Russia 18 700 0.8× 94 0.1× 485 1.7× 91 0.4× 148 1.0× 87 850

Countries citing papers authored by Enno Lenzmann

Since Specialization
Citations

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

Fields of papers citing papers by Enno Lenzmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Enno Lenzmann

This figure shows the co-authorship network connecting the top 25 collaborators of Enno Lenzmann. A scholar is included among the top collaborators of Enno Lenzmann 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 Enno Lenzmann. Enno Lenzmann 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.
Gérard, Patrick & Enno Lenzmann. (2025). Global well-posedness and soliton resolution for the half-wave maps equation with rational data. Forum of Mathematics Sigma. 13.
2.
Lenzmann, Enno, et al.. (2024). Derivation of the half-wave maps equation from Calogero–Moser spin systems. Pure and Applied Mathematics Quarterly. 20(4). 1825–1858. 1 indexed citations
3.
Gerard, Patrick D. & Enno Lenzmann. (2024). The Calogero–Moser derivative nonlinear Schrödinger equation. Communications on Pure and Applied Mathematics. 77(10). 4008–4062. 10 indexed citations
4.
Lenzmann, Enno & Tobias Weth. (2023). Symmetry breaking for ground states of biharmonic NLS via Fourier extension estimates. Journal d Analyse Mathématique. 152(2). 777–800. 3 indexed citations
5.
Lenzmann, Enno, et al.. (2022). On Symmetry and Uniqueness of Ground States for Linear and Nonlinear Elliptic PDEs. SIAM Journal on Mathematical Analysis. 54(6). 6119–6135. 2 indexed citations
6.
Lenzmann, Enno, et al.. (2022). Uniqueness for the nonlocal Liouville equation in R. Journal of Functional Analysis. 283(12). 109712–109712. 3 indexed citations
7.
Bellazzini, Jacopo, Vladimir Georgiev, Enno Lenzmann, & Nicola Visciglia. (2021). Correction to: On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave Equations. Communications in Mathematical Physics. 383(2). 1291–1294. 3 indexed citations
8.
Bellazzini, Jacopo, Vladimir Georgiev, Enno Lenzmann, & Nicola Visciglia. (2019). On Traveling Solitary Waves and Absence of Small Data Scattering for Nonlinear Half-Wave Equations. Communications in Mathematical Physics. 372(2). 713–732. 10 indexed citations
9.
Lenzmann, Enno & Armin Schikorra. (2018). On energy-critical half-wave maps into $${\mathbb {S}}^2$$ S 2. Inventiones mathematicae. 213(1). 1–82. 16 indexed citations
10.
Lenzmann, Enno & Armin Schikorra. (2018). Sharp commutator estimates via harmonic extensions. Nonlinear Analysis. 193. 111375–111375. 28 indexed citations
11.
Gérard, Patrick & Enno Lenzmann. (2018). A Lax pair structure for the half-wave maps equation. Letters in Mathematical Physics. 108(7). 1635–1648. 10 indexed citations
12.
Frank, Rupert L., Enno Lenzmann, & Luís Silvestre. (2015). Uniqueness of Radial Solutions for the Fractional Laplacian. Communications on Pure and Applied Mathematics. 69(9). 1671–1726. 265 indexed citations breakdown →
13.
Krieger, Joachim, Enno Lenzmann, & Pierre Raphaël. (2013). Nondispersive solutions to the L 2-critical Half-Wave Equation. Archive for Rational Mechanics and Analysis. 209(1). 61–129. 63 indexed citations
14.
Lenzmann, Enno & Mathieu Lewin. (2011). On singularity formation for theL2-critical Boson star equation. Nonlinearity. 24(12). 3515–3540. 37 indexed citations
15.
Lenzmann, Enno & Mathieu Lewin. (2010). Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs. Duke Mathematical Journal. 152(2). 20 indexed citations
16.
Hainzl, Christian, Enno Lenzmann, Mathieu Lewin, & Benjamin Schlein. (2010). On Blowup for Time-Dependent Generalized Hartree–Fock Equations. Annales Henri Poincaré. 11(6). 1023–1052. 20 indexed citations
17.
Frank, Rupert L. & Enno Lenzmann. (2009). Uniqueness and symmetry of ground states for the L^2-critical boson star equation. arXiv (Cornell University). 1 indexed citations
18.
Lenzmann, Enno & Mathieu Lewin. (2008). Minimizers for the Hartree-Fock-Bogoliubov Theory of Neutron Stars. arXiv (Cornell University). 3 indexed citations
19.
Fröhlich, Jürg & Enno Lenzmann. (2007). Blowup for nonlinear wave equations describing boson stars. Communications on Pure and Applied Mathematics. 60(11). 1691–1705. 79 indexed citations
20.
Fröhlich, Jürg & Enno Lenzmann. (2004). Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation. French digital mathematics library (Numdam). 1–26. 40 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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