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)

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.

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