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 | 30 | 2018 |
Neumann spectral problem in a domain with very corrugated boundary G Cardone, A Khrabustovskyi Journal of Differential Equations 259 (6), 2333-2367, 2015 | 26 | 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 | 24 | 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 |
Operator estimates for homogenization of the Robin Laplacian in a perforated domain A Khrabustovskyi, M Plum Journal of Differential Equations 338, 474-517, 2022 | 15 | 2022 |
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 |
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 |
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 | 10 | 2018 |
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 |
Towards more general constitutive relations for metamaterials: A checklist for consistent formulations FZ Goffi, K Mnasri, M Plum, C Rockstuhl, A Khrabustovskyi Physical Review B 101 (19), 195411, 2020 | 8 | 2020 |
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 |
Interface conditions for a metamaterial with strong spatial dispersion A Khrabustovskyi, K Mnasri, M Plum, C Stohrer, C Rockstuhl arXiv preprint arXiv:1710.03676, 2017 | 8 | 2017 |
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 |