| 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 | 28 | 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 |
Carsten RockstuhlProf. of Theoretical Solid State Physics, Karlsruhe Institute of TechnologyVerified email at kit.edu
