Cardone, Giuseppe; Nazarov, Sergey A.; Taskinen, Jari Asymptotic expansions of solutions to the Poisson equation with alternating boundary conditions on an open arc. (English) Zbl 07764526 SIAM J. Math. Anal. 55, No. 6, 6940-6964 (2023). MSC: 35B25 35J25 35C20 41A60 PDFBibTeX XMLCite \textit{G. Cardone} et al., SIAM J. Math. Anal. 55, No. 6, 6940--6964 (2023; Zbl 07764526) Full Text: DOI
Cardone, Giuseppe; Khrabustovskyi, Andrii Spectrum of the Laplacian on a domain perturbed by small resonators. (English) Zbl 1522.35347 SIAM J. Math. Anal. 55, No. 4, 3677-3712 (2023). MSC: 35P05 35P15 35B27 35B34 35J05 35J25 PDFBibTeX XMLCite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, SIAM J. Math. Anal. 55, No. 4, 3677--3712 (2023; Zbl 1522.35347) Full Text: DOI arXiv
Cardone, G.; Fouetio, A.; Lando, S. Talla; Woukeng, J. L. Global dynamics of stochastic tidal equations. (English) Zbl 1498.35028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113137, 28 p. (2022). MSC: 35B27 35B40 35Q35 35R60 46J10 60H15 PDFBibTeX XMLCite \textit{G. Cardone} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 225, Article ID 113137, 28 p. (2022; Zbl 1498.35028) Full Text: DOI
Cardone, Giuseppe; Perugia, Carmen; Villanueva Pesqueira, Manuel Asymptotic behavior of a Bingham flow in thin domains with rough boundary. (English) Zbl 1470.35277 Integral Equations Oper. Theory 93, No. 3, Paper No. 24, 26 p. (2021). MSC: 35Q35 35B27 35B40 76A05 76A20 76S05 PDFBibTeX XMLCite \textit{G. Cardone} et al., Integral Equations Oper. Theory 93, No. 3, Paper No. 24, 26 p. (2021; Zbl 1470.35277) Full Text: DOI arXiv
Borisov, D. I.; Cardone, Giuseppe; Chechkin, G. A.; Koroleva, Yu. O. On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary. (English) Zbl 1458.35028 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 48, 45 p. (2021). MSC: 35B25 35J25 35P05 PDFBibTeX XMLCite \textit{D. I. Borisov} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 48, 45 p. (2021; Zbl 1458.35028) Full Text: DOI
Bunoiu, R.; Cardone, G.; Kengne, R.; Woukeng, J. L. Homogenization of 2D Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1441.35024 J. Elliptic Parabol. Equ. 6, No. 1, 377-408 (2020). MSC: 35B27 35B40 35Q30 PDFBibTeX XMLCite \textit{R. Bunoiu} et al., J. Elliptic Parabol. Equ. 6, No. 1, 377--408 (2020; Zbl 1441.35024) Full Text: DOI arXiv
Borisov, Denis; Cardone, Giuseppe Spectra of operator pencils with small \(\mathcal{PT}\)-symmetric periodic perturbation. (English) Zbl 1444.47023 ESAIM, Control Optim. Calc. Var. 26, Paper No. 21, 32 p. (2020). Reviewer: Yaudat Sultanaev (Ufa) MSC: 47A56 34L20 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{G. Cardone}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 21, 32 p. (2020; Zbl 1444.47023) Full Text: DOI
Cardone, Giuseppe; Durante, T.; Nazarov, S. A. Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation. (English. French summary) Zbl 1491.35132 J. Math. Pures Appl. (9) 112, 1-40 (2018). MSC: 35J05 35J25 35P05 47A75 78A50 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Math. Pures Appl. (9) 112, 1--40 (2018; Zbl 1491.35132) Full Text: DOI arXiv
Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A. Thin elastic plates supported over small areas. II: Variational-asymptotic models. (English) Zbl 1462.74103 J. Convex Anal. 24, No. 3, 819-855 (2017). MSC: 74K20 74G10 35Q74 PDFBibTeX XMLCite \textit{G. Buttazzo} et al., J. Convex Anal. 24, No. 3, 819--855 (2017; Zbl 1462.74103) Full Text: arXiv Link
Bakharev, F. L.; Cardone, G.; Nazarov, S. A.; Taskinen, J. Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems. (English) Zbl 1386.35280 Integral Equations Oper. Theory 88, No. 3, 373-386 (2017). MSC: 35P05 47A75 PDFBibTeX XMLCite \textit{F. L. Bakharev} et al., Integral Equations Oper. Theory 88, No. 3, 373--386 (2017; Zbl 1386.35280) Full Text: DOI arXiv Link
Cardone, Giuseppe; Khrabustovskyi, Andrii Spectrum of a singularly perturbed periodic thin waveguide. (English) Zbl 1372.35195 J. Math. Anal. Appl. 454, No. 2, 673-694 (2017). MSC: 35P15 35P25 PDFBibTeX XMLCite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, J. Math. Anal. Appl. 454, No. 2, 673--694 (2017; Zbl 1372.35195) Full Text: DOI arXiv
Cardone, G.; Durante, T.; Nazarov, S. A. The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions. (English) Zbl 1386.35281 J. Differ. Equations 263, No. 2, 1387-1418 (2017). Reviewer: Jonathan Rohleder (Hamburg) MSC: 35P05 47A75 49R05 78A50 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Differ. Equations 263, No. 2, 1387--1418 (2017; Zbl 1386.35281) Full Text: DOI arXiv
Cardone, G.; Nazarov, S. A.; Taskinen, J. Spectra of open waveguides in periodic media. (English) Zbl 1322.35097 J. Funct. Anal. 269, No. 8, 2328-2364 (2015). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35P05 47A75 49R05 78A50 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Funct. Anal. 269, No. 8, 2328--2364 (2015; Zbl 1322.35097) Full Text: DOI arXiv
Cardone, Giuseppe; Khrabustovskyi, Andrii Neumann spectral problem in a domain with very corrugated boundary. (English) Zbl 1443.35009 J. Differ. Equations 259, No. 6, 2333-2367 (2015). Reviewer: Denis Borisov (Ufa) MSC: 35B27 35P05 35J25 PDFBibTeX XMLCite \textit{G. Cardone} and \textit{A. Khrabustovskyi}, J. Differ. Equations 259, No. 6, 2333--2367 (2015; Zbl 1443.35009) Full Text: DOI arXiv
Borisov, Denis; Cardone, Giuseppe; Durante, Tiziana Norm-resolvent convergence for elliptic operators in domain with perforation along curve. (English. French summary) Zbl 1304.35058 C. R., Math., Acad. Sci. Paris 352, No. 9, 679-683 (2014). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35J25 PDFBibTeX XMLCite \textit{D. Borisov} et al., C. R., Math., Acad. Sci. Paris 352, No. 9, 679--683 (2014; Zbl 1304.35058) Full Text: DOI
Borisov, Denis; Cardone, Giuseppe; Faella, Luisa; Perugia, Carmen Uniform resolvent convergence for strip with fast oscillating boundary. (English) Zbl 1286.35025 J. Differ. Equations 255, No. 12, 4378-4402 (2013). Reviewer: Alain Brillard (Riedisheim) MSC: 35B27 35J25 47A07 47A10 PDFBibTeX XMLCite \textit{D. Borisov} et al., J. Differ. Equations 255, No. 12, 4378--4402 (2013; Zbl 1286.35025) Full Text: DOI arXiv
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics. (English) Zbl 1282.35033 Z. Angew. Math. Phys. 64, No. 3, 439-472 (2013). Reviewer: Vincent Lescarret (Gif-sur-Yvette) MSC: 35B27 35J15 35P05 PDFBibTeX XMLCite \textit{D. Borisov} et al., Z. Angew. Math. Phys. 64, No. 3, 439--472 (2013; Zbl 1282.35033) Full Text: DOI arXiv
Cardone, G.; Fares, R.; Panasenko, G. P. Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure. (English) Zbl 1452.76043 J. Math. Phys. 53, No. 10, 103702, 21 p. (2012). MSC: 76D05 76M45 35Q30 PDFBibTeX XMLCite \textit{G. Cardone} et al., J. Math. Phys. 53, No. 10, 103702, 21 p. (2012; Zbl 1452.76043) Full Text: DOI arXiv
Borisov, Denis; Cardone, Giuseppe Planar waveguide with “twisted” boundary conditions: small width. (English) Zbl 1274.81108 J. Math. Phys. 53, No. 2, 023503, 22 p. (2012). MSC: 81Q37 82D77 78A50 35G15 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{G. Cardone}, J. Math. Phys. 53, No. 2, 023503, 22 p. (2012; Zbl 1274.81108) Full Text: DOI arXiv
Borisov, D.; Bunoiu, R.; Cardone, G. Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows. (English. Russian original) Zbl 1290.81038 J. Math. Sci., New York 176, No. 6, 774-785 (2011); translation from Probl. Mat. Anal. 58, 59-68 (2011). MSC: 81Q37 PDFBibTeX XMLCite \textit{D. Borisov} et al., J. Math. Sci., New York 176, No. 6, 774--785 (2011; Zbl 1290.81038); translation from Probl. Mat. Anal. 58, 59--68 (2011) Full Text: DOI
Borisov, Denis; Cardone, Giuseppe Planar waveguide with ”twisted” boundary conditions: Discrete spectrum. (English) Zbl 1273.81100 J. Math. Phys. 52, No. 12, 123513, 24 p. (2011). MSC: 81Q37 81Q10 35J15 35J25 30K05 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{G. Cardone}, J. Math. Phys. 52, No. 12, 123513, 24 p. (2011; Zbl 1273.81100) Full Text: DOI arXiv
Cardone, G.; Nazarov, S. A.; Piatnitski, A. L. On the rate of convergence for perforated plates with a small interior Dirichlet zone. (English) Zbl 1264.74189 Z. Angew. Math. Phys. 62, No. 3, 439-468 (2011). MSC: 74Q05 74K20 35B27 PDFBibTeX XMLCite \textit{G. Cardone} et al., Z. Angew. Math. Phys. 62, No. 3, 439--468 (2011; Zbl 1264.74189) Full Text: DOI
Borisov, Denis; Cardone, Giuseppe Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods. (English) Zbl 1223.35248 ESAIM, Control Optim. Calc. Var. 17, No. 3, 887-908 (2011). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 35P20 35J05 35B25 35C20 PDFBibTeX XMLCite \textit{D. Borisov} and \textit{G. Cardone}, ESAIM, Control Optim. Calc. Var. 17, No. 3, 887--908 (2011; Zbl 1223.35248) Full Text: DOI arXiv EuDML
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe On a waveguide with an infinite number of small windows. (Sur un guide d’onde avec un nombre infini de petites fentes.) (English) Zbl 1211.35098 C. R., Math., Acad. Sci. Paris 349, No. 1-2, 53-56 (2011). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35J25 35J05 35P20 47F05 78A50 81Q37 PDFBibTeX XMLCite \textit{D. Borisov} et al., C. R., Math., Acad. Sci. Paris 349, No. 1--2, 53--56 (2011; Zbl 1211.35098) Full Text: DOI
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition. (English) Zbl 1210.82077 Ann. Henri Poincaré 11, No. 8, 1591-1627 (2010). MSC: 82D77 81Q37 PDFBibTeX XMLCite \textit{D. Borisov} et al., Ann. Henri Poincaré 11, No. 8, 1591--1627 (2010; Zbl 1210.82077) Full Text: DOI arXiv
Cardone, Giuseppe; Panasenko, Grigory P.; Sirakov, Yvan Asymptotic analysis and numerical modeling of mass transport in tubular structures. (English) Zbl 1200.35021 Math. Models Methods Appl. Sci. 20, No. 3, 397-421 (2010). MSC: 35B27 35Q30 76M45 65N55 35B40 PDFBibTeX XMLCite \textit{G. Cardone} et al., Math. Models Methods Appl. Sci. 20, No. 3, 397--421 (2010; Zbl 1200.35021) Full Text: DOI arXiv
Cardone, G.; Corbo Esposito, A.; Nazarov, S. A. Korn’s inequality for periodic solids and convergence rate of homogenization. (English) Zbl 1170.74040 Appl. Anal. 88, No. 6, 847-876 (2009). MSC: 74Q05 74B05 35B27 PDFBibTeX XMLCite \textit{G. Cardone} et al., Appl. Anal. 88, No. 6, 847--876 (2009; Zbl 1170.74040) Full Text: DOI
Cardone, Giuseppe; Donato, Patrizia; Gaudiello, Antonio A compactness result for elliptic equations with subquadratic growth in perforated domains. (English) Zbl 0988.35060 Nonlinear Anal., Theory Methods Appl. 32, No. 3, 335-361 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 35J65 35B40 PDFBibTeX XMLCite \textit{G. Cardone} et al., Nonlinear Anal., Theory Methods Appl. 32, No. 3, 335--361 (1998; Zbl 0988.35060) Full Text: DOI