Bound states of Schrödinger-type operators on one and two dimensional lattices SY Kholmatov, SN Lakaev, FM Almuratov Journal of Mathematical Analysis and Applications 503 (1), 125280, 2021 | 20 | 2021 |
Bose-Hubbard models with on-site and nearest-neighbor interactions: Exactly solvable case S Lakaev, S Kholmatov, S Khamidov arXiv preprint arXiv:2101.05109, 2021 | 20 | 2021 |
A unified model for stress-driven rearrangement instabilities SY Kholmatov, P Piovano Archive for Rational Mechanics and Analysis 238 (1), 415-488, 2020 | 15 | 2020 |
Minimizing movements for mean curvature flow of partitions G Bellettini, SY Kholmatov SIAM Journal on Mathematical Analysis 50 (4), 4117-4148, 2018 | 14 | 2018 |
On the spectrum of Schrödinger-type operators on two dimensional lattices SY Kholmatov, SN Lakaev, FM Almuratov Journal of Mathematical Analysis and Applications 514 (2), 126363, 2022 | 13 | 2022 |
On spectrum of the discrete bilaplacian with zero-range perturbation S Kholmatov, M Pardabaev Lobachevskii Journal of Mathematics 42 (6), 1286-1293, 2021 | 11 | 2021 |
Existence of bound states of N-body problem in an optical lattice SY Kholmatov, ZI Muminov Journal of Physics A: Mathematical and Theoretical 51 (26), 265202, 2018 | 9 | 2018 |
Minimizing movements for forced anisotropic mean curvature flow of partitions with mobilities G Bellettini, A Chambolle, S Kholmatov Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (4 …, 2021 | 8 | 2021 |
Expansion of eigenvalues of rank-one perturbations of the discrete bilaplacian A Khalkhuzhaev, SY Kholmatov, M Pardabaev arXiv preprint arXiv:1910.01369, 2019 | 6 | 2019 |
On the minimality of the Winterbottom shape SY Kholmatov Aequationes mathematicae, 1-7, 2024 | 1 | 2024 |
Existence of minimizers for the SDRI model in 2d: Wetting and dewetting regime with mismatch strain SY Kholmatov, P Piovano Advances in Calculus of Variations 17 (3), 673-725, 2024 | 1 | 2024 |
Minimizing movements for the generalized power mean curvature flow G Bellettini, SY Kholmatov arXiv preprint arXiv:2403.20244, 2024 | 1 | 2024 |
Some aspects of anisotropic curvature flow of planar partitions G Bellettini, SY Kholmatov arXiv preprint arXiv:2304.13454, 2023 | 1 | 2023 |
Expansion of eigenvalues of the perturbed discrete bilaplacian SY Kholmatov, A Khalkhuzhaev, M Pardabaev Monatshefte für Mathematik 197 (4), 607-633, 2022 | 1 | 2022 |
Bound states of discrete Schrödinger operators on one and two dimensional lattices S Kholmatov, S Lakaev, F Almuratov arXiv e-prints, arXiv: 2007.04035, 2020 | 1 | 2020 |
Existence of minimizers for the SDRI model S Kholmatov, P Piovano arXiv preprint arXiv:2006.06096, 2020 | 1 | 2020 |
Asymptotics of eigenvalues of the zero-range perturbation of the discrete bilaplacian SY Kholmatov, M Pardabaev arXiv preprint arXiv:1909.11789, 2019 | 1 | 2019 |
Minimizing movements for forced anisotropic curvature flow of droplets S Kholmatov Interfaces and Free Boundaries, 2024 | | 2024 |
Crystalline hexagonal curvature flow of networks: short-time, long-time and self-similar evolutions G Bellettini, S Kholmatov, F Almuratov arXiv preprint arXiv:2401.15358, 2024 | | 2024 |
Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in S Kholmatov arXiv preprint arXiv:2401.06307, 2024 | | 2024 |