Bose–Hubbard models with on-site and nearest-neighbor interactions: exactly solvable case SN Lakaev, SY Kholmatov, SI Khamidov
Journal of Physics A: Mathematical and Theoretical 54 (24), 245201, 2021
17 2021 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
15 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
13 2018 On spectrum of the discrete bilaplacian with zero-range perturbation S Kholmatov, M Pardabaev
Lobachevskii Journal of Mathematics 42 (6), 1286-1293, 2021
10 2021 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
8 2022 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
7 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 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
6 2018 On the minimality of the Winterbottom shape SY Kholmatov
arXiv preprint arXiv:2402.02179, 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, 2023
1 2023 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 SYU 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 the generalized power mean curvature flow G Bellettini, SY Kholmatov
arXiv preprint arXiv:2403.20244, 2024
2024 Minimizing movements for forced anisotropic curvature flow of droplets SY Kholmatov
arXiv preprint arXiv:2403.09902, 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 