Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve D Borisov, G Cardone, T Durante Proceedings of the Royal Society of Edinburgh Section A: Mathematics 146 (6 …, 2016 | 79 | 2016 |
On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition D Borisov, R Bunoiu, G Cardone Annales Henri Poincaré 11, 1591-1627, 2010 | 73 | 2010 |
Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics D Borisov, R Bunoiu, G Cardone Zeitschrift für angewandte Mathematik und Physik 64, 439-472, 2013 | 70 | 2013 |
Homogenization of the planar waveguide with frequently alternating boundary conditions D Borisov, G Cardone Journal of Physics A: Mathematical and Theoretical 42 (36), 365205, 2009 | 68 | 2009 |
Uniform resolvent convergence for strip with fast oscillating boundary D Borisov, G Cardone, L Faella, C Perugia Journal of Differential Equations 255 (12), 4378-4402, 2013 | 63 | 2013 |
The localization effect for eigenfunctions of the mixed boundary value problem in a thin cylinder with distorted ends G Cardone, T Durante, SA Nazarov SIAM journal on mathematical analysis 42 (6), 2581-2609, 2010 | 50 | 2010 |
Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows D Borisov, R Bunoiu, G Cardone Journal of Mathematical Sciences 176, 774-785, 2011 | 43 | 2011 |
A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface G Cardone, SA Nazarov, C Perugia Mathematische Nachrichten 283 (9), 1222-1244, 2010 | 38 | 2010 |
On a waveguide with an infinite number of small windows D Borisov, R Bunoiu, G Cardone Comptes Rendus. Mathématique 349 (1-2), 53-56, 2011 | 37 | 2011 |
Complete asymptotic expansions for eigenvaluesofDirichlet Laplacian in thin three-dimensional rods D Borisov, G Cardone ESAIM: Control, Optimisation and Calculus of Variations 17 (3), 887-908, 2011 | 34 | 2011 |
Asymptotic partial decomposition for diffusion with sorption in thin structures G Cardone, AC Esposito, GP Panasenko Nonlinear Analysis: Theory, Methods & Applications 65 (1), 79-106, 2006 | 30 | 2006 |
Spectra of open waveguides in periodic media G Cardone, SA Nazarov, J Taskinen Journal of Functional Analysis 269 (8), 2328-2364, 2015 | 29 | 2015 |
Asymptotic analysis, polarization matrices, and topological derivatives for piezoelectric materials with small voids G Cardone, SA Nazarov, J Sokolowski SIAM Journal on Control and Optimization 48 (6), 3925-3961, 2010 | 29 | 2010 |
Some estimates for nonlinear homogenization G Cardone, SE Pastukhova, VV Zhikov Rend. Accad. Naz. Sci. XL Mem. Mat. Appl 29 (5), 101-110, 2005 | 28 | 2005 |
Neumann spectral problem in a domain with very corrugated boundary G Cardone, A Khrabustovskyi Journal of Differential Equations 259 (6), 2333-2367, 2015 | 27 | 2015 |
Water‐waves modes trapped in a canal by a near‐surface rough body G Cardone, T Durante, SA Nazarov ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte …, 2010 | 27 | 2010 |
Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide G Cardone, SA Nazarov, K Ruotsalainen Sbornik: Mathematics 203 (2), 153, 2012 | 26 | 2012 |
Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary G Cardone, SA Nazarov, J Sokolowski Asymptotic Analysis 62 (1-2), 41-88, 2009 | 24 | 2009 |
Planar waveguide with “twisted” boundary conditions: discrete spectrum D Borisov, G Cardone Journal of mathematical physics 52 (12), 2011 | 22 | 2011 |
Asymptotic analysis and numerical modeling of mass transport in tubular structures G Cardone, GP Panasenko, Y Sirakov Mathematical Models and Methods in Applied Sciences 20 (03), 397-421, 2010 | 22 | 2010 |