Giuseppe Cardone, Andrii Khrabustovskyi, “Neumann spectral problem in a domain with very corrugated boundary”, Journal of Differential Equations, 259, no. 6, 2015, 2333
Andrii Khrabustovskyi, “Opening up and control of spectral gaps of the Laplacian in periodic domains”, Journal of Mathematical Physics, 55, no. 12, 2014, 121502
Sergei A. Nazarov, Jari Taskinen, “Band-gap structure of the spectrum of the water-wave problem in a shallow canal with a periodic family of deep pools”, Rev Mat Complut, 36, no. 1, 2023, 263
Fedor L. Bakharev, Pavel Exner, “Geometrically Induced Spectral Effects in Tubes with a Mixed Dirichlet—Neumann Boundary”, Reports on Mathematical Physics, 81, no. 2, 2018, 213
D. I. Borisov, “Creation of spectral bands for a periodic domain with small windows”, Russ. J. Math. Phys., 23, no. 1, 2016, 19
Sergei A. Nazarov, Jari Taskinen, “Spectral gaps for periodic piezoelectric waveguides”, Z. Angew. Math. Phys., 66, no. 6, 2015, 3017
Giuseppe Cardone, Andrii Khrabustovskyi, “Spectrum of a singularly perturbed periodic thin waveguide”, Journal of Mathematical Analysis and Applications, 454, no. 2, 2017, 673
Denis Borisov, Giuseppe Cardone, “Spectra of operator pencils with small 𝒫𝒯-symmetric periodic perturbation”, ESAIM: COCV, 26, 2020, 21
D. I. Borisov, “On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows”, Russ. J. Math. Phys., 22, no. 2, 2015, 153
Lucas Chesnel, Sergei A. Nazarov, “On the breathing of spectral bands in periodic quantum waveguides with inflating resonators”, ESAIM: M2AN, 59, no. 4, 2025, 2171