Beyond local effective material properties for metamaterials K Mnasri, A Khrabustovskyi, C Stohrer, M Plum, C Rockstuhl
Physical Review B 97 (7), 075439, 2018
30 2018 Operator estimates for the crushed ice problem A Khrabustovskyi, O Post
Asymptotic Analysis 110 (3-4), 137-161, 2018
29 2018 Neumann spectral problem in a domain with very corrugated boundary G Cardone, A Khrabustovskyi
Journal of Differential Equations 259 (6), 2333-2367, 2015
25 2015 Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations K Mnasri, A Khrabustovskyi, M Plum, C Rockstuhl
Physical Review B 99 (3), 035442, 2019
23 2019 Periodic elliptic operators with asymptotically preassigned spectrum A Khrabustovskyi
Asymptotic Analysis 82 (1-2), 1-37, 2013
19 2013 Homogenization of eigenvalue problem for Laplace–Beltrami operator on Riemannian manifold with complicated ‘bubble‐like’microstructure A Khrabustovskyi
Mathematical methods in the applied sciences 32 (16), 2123-2137, 2009
16 2009 Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace–Beltrami operator A Khrabustovskyi
Journal of Differential Equations 252 (3), 2339-2369, 2012
15 2012 Operator estimates for homogenization of the Robin Laplacian in a perforated domain A Khrabustovskyi, M Plum
Journal of Differential Equations 338, 474-517, 2022
14 2022 On the spectrum of narrow Neumann waveguide with periodically distributed traps P Exner, A Khrabustovskyi
Journal of Physics A: Mathematical and Theoretical 48 (31), 315301, 2015
14 2015 Opening up and control of spectral gaps of the Laplacian in periodic domains A Khrabustovskyi
Journal of Mathematical Physics 55 (12), 2014
14 2014 Spectrum of a singularly perturbed periodic thin waveguide G Cardone, A Khrabustovskyi
Journal of Mathematical Analysis and Applications 454 (2), 673-694, 2017
10 2017 Gaps in the spectrum of a periodic quantum graph with periodically distributed -type interactions D Barseghyan, A Khrabustovskyi
arXiv preprint arXiv:1502.04664, 2015
10 2015 Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps A Khrabustovskyi, E Khruslov
Mathematical Methods in the Applied Sciences 38 (1), 11-26, 2015
10 2015 Surface plasmon polaritons sustained at the interface of a nonlocal metamaterial J Feis, K Mnasri, A Khrabustovskyi, C Stohrer, M Plum, C Rockstuhl
Physical Review B 98 (11), 115409, 2018
9 2018 Gap control by singular Schrödinger operators in a periodically structured metamaterial P Exner, A Khrabustovskyi
Journal of Mathematical Physics, Analysis, Geometry 14 (3), 270-285, 2018
8 2018 Spectral analysis of a class of Schrödinger operators exhibiting a parameter-dependent spectral transition D Barseghyan, P Exner, A Khrabustovskyi, M Tater
Journal of Physics A: Mathematical and Theoretical 49 (16), 165302, 2016
8 2016 Homogenization of the spectral problem on the Riemannian manifold consisting of two domains connected by many tubes A Khrabustovskyi
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 143 (6 …, 2013
8 2013 A geometric approximation of δ-interactions by Neumann Laplacians A Khrabustovskyi, O Post
Journal of Physics A: Mathematical and Theoretical 54 (46), 465201, 2021
7 2021 δ′-interaction as a limit of a thin Neumann waveguide with transversal window G Cardone, A Khrabustovskyi
Journal of Mathematical Analysis and Applications 473 (2), 1320-1342, 2019
7 2019 Asymptotic behaviour of spectrum of Laplace–Beltrami operator on Riemannian manifolds with complex microstructure A Khrabustovskyi
Applicable Analysis 87 (12), 1357-1372, 2008
7 2008