Publications
Gérard, P. and Lenzmann, E. (2024) “The Calogero–Moser derivative nonlinear Schrödinger equation”, Communications on Pure and Applied Mathematics, 77(10), pp. 4008–4062. Available at: 10.1002/cpa.22203.
Lenzmann, E. and Weth, T. (2024) “Symmetry breaking for ground states of biharmonic NLS via Fourier extension estimates”, Journal d’Analyse Mathematique, 152(2), pp. 777–800. Available at: 10.1007/s11854-023-0311-2.
Lenzmann, E. and Sok, J. (2024) “Derivation of the half-wave maps equation from Calogero–Moser spin systems”, Pure and Applied Mathematics Quarterly, 20(4), pp. 1825–1858. Available at: 10.4310/PAMQ.2024.v20.n4.a10.
Ahrend, M. and Lenzmann, E. (2022) “Uniqueness for the nonlocal Liouville equation in R”, Journal of Functional Analysis, 283(12), p. Paper No. 109712, 29. Available at: 10.1016/j.jfa.2022.109712.
Bugiera, L., Lenzmann, E. and Jeremy, S. (2022) “ON SYMMETRY AND UNIQUENESS OF GROUND STATES FOR LINEAR AND NONLINEAR ELLIPTIC PDEs”, SIAM Journal on Mathematical Analysis, 54(6), pp. 6119–6135. Available at: 10.1137/22M1487576.
Lenzmann, E. and Sok, J. (2021) “A Sharp Rearrangement Principle in Fourier Space and Symmetry Results for PDEs with Arbitrary Order”, International Mathematics Research Notices, 2021(19), pp. 15040–15081. Available at: 10.1093/imrn/rnz274.
Bugiera, L. et al. (2020) “On symmetry of traveling solitary waves for dispersion generalized NLS”, Nonlinearity, 33(6), pp. 2797–2819. Available at: 10.1088/1361-6544/ab74b2. edoc
Lenzmann, E., Schikorra, A. (2020) “Sharp commutator estimates via harmonic extensions”, Nonlinear Analysis, 193, p. 111375. Available at: 10.1016/j.na.2018.10.017. edoc
Borthwick, D. et al. (2019) “Existence and stability of Schrödinger solitons on noncompact manifolds”, SIAM Journal on Mathematical Analysis, 51(5), pp. 3854–3901. Available at: 10.1137/18m1216031. edoc
Bellazzini, J. et al. (2019) “On traveling solitary waves and absence of small data scattering for nonlinear half-wave equations”, Communications in Mathematical Physics, 372(2), pp. 713–732. Available at: 10.1007/s00220-019-03374-y. edoc | Open Access
Lenzmann, E., Schikorra, A. (2018) “On energy-critical half-wave maps into S^2”, Inventiones Mathematicae, pp. 1–82. Available at: 10.1007/s00222-018-0785-1. edoc
Gérard, P. et al. (2018) “A Two-Soliton with Transient Turbulent Regime for the Cubic Half-Wave Equation on the Real Line”, Annals of PDE, 4(7). Available at: 10.1007/s40818-017-0043-7. edoc
Gérard, P., Lenzmann, E. (2018) “A Lax Pair Structure for the Half-Wave Maps Equation”, Letters in Mathematical Physics, 108(7), pp. 1635–1648. Available at: 10.1007/s11005-017-1044-x. edoc
Boulenger, T., Himmelsbach, D., Lenzmann, E. (2016) “Blowup for fractional NLS”, Journal of Functional Analysis, 271(9), pp. 2569–2603. Available at: 10.1016/j.jfa.2016.08.011. edoc
Frank, R.L., Lenzmann, E., Silvestre, L. (2016) “Uniqueness of radial solutions for the fractional Laplacian”, Communications on Pure and Applied Mathematics, 69(9), pp. 1671–1726. Available at: 10.1002/cpa.21591. edoc
Boulenger, T., Lenzmann, E. (2015) “Blowup for Biharmonic NLS”. arXiv (Annales scientifiques de l’ENS - Parutions - série 4, 3). Available at: 10.24033/asens.2326. edoc
Boulenger, T., Lenzmann, E. (2015) “Blowup for Biharmonic NLS”. Edited by M.F. of S. Preprints. Universität Basel (Preprints Fachbereich Mathematik, 17). edoc | Open Access
Boulenger, T., Himmelsbach, D., Lenzmann, E. (2015) “Blowup for fractional NLS”. Edited by M.F. of S. Preprints. Universität Basel (Preprints Fachbereich Mathematik, 31). edoc | Open Access
Herr, S., Lenzmann, E. (2014) “The Boson star equation with initial data of low regularity”, Nonlinear analysis, 97, pp. 125–137. Available at: 10.1016/j.na.2013.11.023. edoc
Krieger, J., Lenzmann, E., Raphael, P. (2013) “Nondispersive solutions to the L²-critical half-wave equation”, Archive for rational mechanics and analysis, 209(1), pp. 61–129. Available at: 10.1007/s00205-013-0620-1. edoc
Frank, R.L., Lenzmann, E. (2013) “Uniqueness of non-linear ground states for fractional Laplacians in $BbbR”, Acta mathematica, 210(2), pp. 261–318. Available at: 10.1007/s11511-013-0095-9. edoc
Kirkpatrick, K., Lenzmann, E., Staffilani, G. (2013) “On the continuum limit for discrete NLS with long-range lattice interactions”, Communications in mathematical physics, 317(3), pp. 563–591. Available at: 10.1007/s00220-012-1621-x. edoc
Lenzmann, E., Lewin, M. (2013) “Dynamical ionization bounds for atoms”, Analysis of PDEs, 6(5), pp. 1183–1211. Available at: 10.2140/apde.2013.6.1183. edoc
Frank, R.L., Lenzmann, E., Silvestre, L. (2013) “Uniqueness of Radial Solutions for the Fractional Laplacian”. Edited by M.F. of S. Preprints. Universität Basel (Preprints Fachbereich Mathematik, 6). edoc | Open Access
Lenzmann, E., Lewin, M. (2011) “On singularity formation for the $L^2$-critical Boson star equation”, Nonlinearity, 24(12), pp. 3515–3540. Available at: 10.1088/0951-7715/24/12/009. edoc
Hainzl, C. et al. (2010) “On blowup for time-dependent generalized Hartree-Fock equations”, Annales Henri Poincaré, 11(6), pp. 1023–1052. Available at: 10.1007/s00023-010-0054-3. edoc
Lenzmann, E., Lewin, M. (2010) “Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs”, Duke mathematical journal, 152(2), pp. 257–315. Available at: 10.1215/00127094-2010-013. edoc
Krieger, J., Lenzmann, E., Raphaël, P. (2009) “On stability of pseudo-conformal blowup for $L^2$-critical Hartree NLS”, Annales Henri Poincaré, 10(6), pp. 1159–1205. Available at: 10.1007/s00023-009-0010-2. edoc
Lenzmann, E. (2009) “Uniqueness of ground states for pseudorelativistic Hartree equations”, Analysis & PDE, 2(1), pp. 1–27. Available at: 10.2140/apde.2009.2.1. edoc
Fröhlich, J., Lenzmann, E. (2007) “Blowup for nonlinear wave equations describing boson stars”, Communications on Pure and Applied Mathematics, 60(11), pp. 1691–1705. Available at: 10.1002/cpa.20186. edoc
Fröhlich, J., Lenzmann, E. (2007) “Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory”, Communications in Mathematical Physics, 274(3), pp. 737–750. Available at: 10.1007/s00220-007-0290-7. edoc
Lenzmann, E. (2007) “Well-posedness for semi-relativistic Hartree equations of critical type”, Mathematical Physics, Analysis and Geometry, 10(1), pp. 43–64. Available at: 10.1007/s11040-007-9020-9. edoc
Fröhlich, J., Jonsson, B.L.G., Lenzmann, E. (2007) “Boson stars as solitary waves”, Communications in Mathematical Physics, 274(1), pp. 1–30. Available at: 10.1007/s00220-007-0272-9. edoc
Fröhlich, J., Jonsson, B.L.G., Lenzmann, E. (2007) “Effective dynamics for boson stars”, Nonlinearity, 20(5), pp. 1031–1075. Available at: 10.1088/0951-7715/20/5/001. edoc
Fröhlich, J., Knowles, A., Lenzmann, E. (2007) “Semi-classical dynamics in quantum spin systems”, Letters in Mathematical Physics, 82(2-3), pp. 275–296. Available at: 10.1007/s11005-007-0202-y. edoc