Ari Laptev - Selected Publications#

A. Laptev (jointly with L. Schimmer and L. Takhtajan), Weyl asymptotics for perturbed functional difference operators, J. Math. Phys. 60, 103505 (2019) (Special issue: XIXth International Congress on Mathematical Physics).

A. Laptev (jointly A. Hassannezhad) Eigenvalue bounds of mixed Steklov problems, Communications in Contemporary Mathematics, (2019) Vol. 22, No. 02, 1950008 (2020) doi.org/10.1142/S0219199719500081.

A. Laptev (jointly with D. Bonheure, J. Dolbeault, M. J. Esteban and M. Loss), Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields, Comm. Math. Phys., (2019)
DOI 10.1007/s00220-019-03560-y.

A. Laptev (jointly with A. Ilyin), Berezin-Li-Yau inequalities on domains on the sphere, J.Math.Anal. Appl., 473 (2) (2019), 1253--1269.

A. Laptev (jointly with M. Ashbaugh, F. Gesztesy, M. Mitrea and S. Sukhtaiev), A Bound for the Eigenvalue Counting for Krein-von Neumann and Friedrichs Extensions, Adv. Math. 304 (2017), 1108-1155.

A. Laptev (jointly with R. Frank and O. Safronov), On the number of eigenvalues of Schrödinger operators with complex potentials, J. Lond. Math. Soc., II. Ser. 94, no. 2 (2016), 377-390.

A. Laptev (jointly with L. Schimmer and L. Takhtajan), Weyl-type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves, Geom. Funct. Anal., 26 (2016) 288-305.

A. Laptev (jointly with A. Iljin, M. Loss and S. Zelik), One-dimensional interpolation inequalities, Carlson—Landau inequalities and magnetic Schrödinger operators, Int. Math. Res. Notices, 4 (2016), 1190-1222.

A. Laptev (jointly with D. Hundertmark and T. Weidl), New bounds on the Lieb-Thirring constants, Inventiones mathematicae, 140, (2000) 693-704.

A. Laptev (jointly with T. Weidl) Sharp Lieb-Thirring inequalities in high dimensions, Acta Mathematica, 184, (2000) 87-111.