Journal Articles
Schimmer, L (2023)
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis,
Journal of Spectral Theory, 13(1), pp.47-62, ISSN: 1664-039X. DOI:
10.4171/jst/434.
Laptev, A, Read, L,
Schimmer, L (2022)
Calogero type bounds in two dimensions,
Archive for Rational Mechanics and Analysis, 245(3), pp.1491-1505, ISSN: 0003-9527. DOI:
10.1007/s00205-022-01811-2.
Laptev, A, Loss, M,
Schimmer, L (2022)
On a conjecture by Hundertmark and Simon,
Annales Henri Poincaré, 23(11), pp.4057-4067, ISSN: 1424-0637. DOI:
10.1007/s00023-022-01169-x.
Laptev, A and
Schimmer, L (2021)
A sharp Lieb-Thirring inequality for functional difference operators,
Symmetry, Integrability and Geometry: Methods and Applications, 17(2021), 105, DOI:
10.3842/sigma.2021.105.
Schimmer, L, Solovej, JP, Tokus, S (2019)
Friedrichs extension and min–max principle for operators with a gap,
Annales Henri Poincaré, 21(2), pp.327-357, ISSN: 1424-0637. DOI:
10.1007/s00023-019-00855-7.
Laptev, A,
Schimmer, L, Takhtajan, LA (2019)
Weyl asymptotics for perturbed functional difference operators,
Journal of Mathematical Physics, 60(10), ISSN: 0022-2488. DOI:
10.1063/1.5093401.
Frank, RL and
Schimmer, L (2017)
Endpoint resolvent estimates for compact Riemannian manifolds,
Journal of Functional Analysis, 272(9), pp.3904-3918, ISSN: 0022-1236. DOI:
10.1016/j.jfa.2016.11.012.
Laptev, A,
Schimmer, L, Takhtajan, LA (2016)
Weyl Type Asymptotics and Bounds for the Eigenvalues of Functional-Difference Operators for Mirror Curves,
Geometric and Functional Analysis, 26(1), pp.288-305, ISSN: 1016-443X. DOI:
10.1007/s00039-016-0357-8.
Schimmer, L (2015)
Spectral Inequalities for Jacobi Operators and Related Sharp Lieb–Thirring Inequalities on the Continuum,
Communications in Mathematical Physics, 334(1), pp.473-505, ISSN: 0010-3616. DOI:
10.1007/s00220-014-2137-3.
Schimmer, L (2013)
The Berezin inequality on domains of infinite measure,
Bulletin of Mathematical Sciences, 3(1), pp.173-182, ISSN: 1664-3607. DOI:
10.1007/s13373-013-0035-1.
Chapters
Schimmer, L (2022)
The state of the Lieb–Thirring conjecture. In Frank, RL, Laptev, A, Lewin, M, Seiringer, R (ed)
The Physics and Mathematics of Elliott Lieb: Volume II, EMS Press, pp.253-275, ISBN: 9783985470228. DOI:
10.4171/90-2/39.
