## Cardone, Giuseppe

Compute Distance To:
 Author ID: cardone.giuseppe Published as: Cardone, G.; Cardone, Giuseppe External Links: ORCID
 Documents Indexed: 79 Publications since 1994 Co-Authors: 38 Co-Authors with 66 Joint Publications 940 Co-Co-Authors
all top 5

### Co-Authors

 1 single-authored 21 Nazarov, Sergeĭ Aleksandrovich 13 Borisov, Denis Ivanovich 9 Corbo Esposito, Antonio 8 Bunoiu, Renata 8 Durante, Tiziana 6 Perugia, Carmen 5 Panasenko, Grigory P. 5 Taskinen, Jari 4 De Maio, Umberto 4 Faella, Luisa 4 Khrabustovskyi, Andrii 3 Carbone, Luciano 3 D’Apice, Ciro 3 Paderni, Gabriella 3 Sokołowski, Jan 3 Zhikov, Vasiliĭ Vasil’evich 2 Buttazzo, Giuseppe 2 Gaudiello, Antonio 2 Palladino, Franco 2 Pastukhova, Svetlana Evgenievna 2 Ruotsalainen, Keijo Matti 2 Woukeng, Jean Louis 1 Acanfora, Fausto 1 Aiyappan, Srinivasan 1 Bakharev, Fedor L’vovich 1 Berlyand, Leonid V. 1 Carraro, Laurent 1 Casanovas, S. J. 1 Chechkin, Gregory Aleksandrovich 1 Donato, Patrizia 1 Fares, G. R. 1 Fares, R. 1 Gorb, Yuliya 1 Ianiro, Andrea 1 Iosif’yan, Grigoriĭ Andronikovich 1 Kengne, Romanic 1 Koroleva, Yulia O. 1 Mortola, Stefano 1 Piatnitski, Andrey L. 1 Prakash, Ravi 1 Sirakov, Yvan 1 Suslina, Tat’yana Aleksandrovna 1 Timofte, Claudia 1 Villanueva-Pesqueira, Manuel
all top 5

### Serials

 7 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 4 Applicable Analysis 3 Journal of Mathematical Physics 3 Mathematical Methods in the Applied Sciences 3 Journal of Differential Equations 3 Asymptotic Analysis 3 Journal of Convex Analysis 2 Journal of Mathematical Analysis and Applications 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Integral Equations and Operator Theory 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Ricerche di Matematica 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Portugaliae Mathematica 1 SIAM Journal on Control and Optimization 1 Zeitschrift für Analysis und ihre Anwendungen 1 Note di Matematica 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 Advances in Mathematical Sciences and Applications 1 Vestnik St. Petersburg University. Mathematics 1 Calculus of Variations and Partial Differential Equations 1 St. Petersburg Mathematical Journal 1 Sbornik: Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Doklady Physics 1 Annales Henri Poincaré 1 Journal of Modern Optics 1 Nonlinear Analysis. Real World Applications 1 Scientiae Mathematicae Japonicae 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Journal of Physics A: Mathematical and Theoretical 1 Networks and Heterogeneous Media 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations
all top 5

### Fields

 56 Partial differential equations (35-XX) 15 Operator theory (47-XX) 15 Mechanics of deformable solids (74-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 9 History and biography (01-XX) 9 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 7 Quantum theory (81-XX) 4 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX)

### Citations contained in zbMATH Open

56 Publications have been cited 377 times in 186 Documents Cited by Year
Homogenization of the planar waveguide with frequently alternating boundary conditions. Zbl 1178.81088
Borisov, D.; Cardone, G.
2009
Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve. Zbl 1361.35021
Borisov, Denis; Cardone, Giuseppe; Durante, Tiziana
2016
Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics. Zbl 1282.35033
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe
2013
On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition. Zbl 1210.82077
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe
2010
A gap in the essential spectrum of a cylindrical waveguide with a periodic perturbation of the surface. Zbl 1213.35327
Cardone, Giuseppe; Nazarov, Sergey A.; Perugia, Carmen
2010
Uniform resolvent convergence for strip with fast oscillating boundary. Zbl 1286.35025
Borisov, Denis; Cardone, Giuseppe; Faella, Luisa; Perugia, Carmen
2013
The localization effect for eigenfunctions of the mixed boundary value problem in a thin cylinder with distorted ends. Zbl 1219.35147
Cardone, G.; Durante, T.; Nazarov, S. A.
2010
Asymptotic partial decomposition for diffusion with sorption in thin structures. Zbl 1103.35029
Cardone, G.; Corbo Esposito, A.; Panasenko, G. P.
2006
Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows. Zbl 1290.81038
Borisov, D.; Bunoiu, R.; Cardone, G.
2011
Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide. Zbl 1238.35071
Cardone, G.; Nazarov, S. A.; Ruotsalainen, K.
2012
Spectra of open waveguides in periodic media. Zbl 1322.35097
Cardone, G.; Nazarov, S. A.; Taskinen, J.
2015
Planar waveguide with ”twisted” boundary conditions: Discrete spectrum. Zbl 1273.81100
Borisov, Denis; Cardone, Giuseppe
2011
Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary. Zbl 1175.35040
Cardone, G.; Nazarov, S. A.; Sokolowski, J.
2009
Neumann spectral problem in a domain with very corrugated boundary. Zbl 1443.35009
Cardone, Giuseppe; Khrabustovskyi, Andrii
2015
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods. Zbl 1223.35248
Borisov, Denis; Cardone, Giuseppe
2011
Asymptotic analysis, polarization matrices, and topological derivatives for piezoelectric materials with small voids. Zbl 1204.35158
Cardone, G.; Nazarov, S. A.; Sokolowski, J.
2010
On a waveguide with an infinite number of small windows. (Sur un guide d’onde avec un nombre infini de petites fentes.) Zbl 1211.35098
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe
2011
Binary digits expansion of numbers: Hausdorff dimensions of intersections of level sets of averages’ upper and lower limits. Zbl 1073.28005
Carbone, L.; Cardone, G.; Corbo Esposito, A.
2004
Spectral approach to homogenization of an elliptic operator periodic in some directions. Zbl 1221.35256
Bunoiu, R.; Cardone, G.; Suslina, T.
2011
Water-waves modes trapped in a canal by a near-surface rough body. Zbl 1375.76024
Cardone, Giuseppe; Durante, Tiziana; Nazarov, Sergey A.
2010
Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103
Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A.
2017
A criterion for the existence of the essential spectrum for beak-shaped elastic bodies. Zbl 1387.35570
Cardone, G.; Nazarov, S. A.; Taskinen, J.
2009
Planar waveguide with “twisted” boundary conditions: small width. Zbl 1274.81108
Borisov, Denis; Cardone, Giuseppe
2012
Bound states of a converging quantum waveguide. Zbl 1333.35131
Cardone, Giuseppe; Nazarov, Sergei A.; Ruotsalainen, Keijo
2013
Asymptotic analysis and numerical modeling of mass transport in tubular structures. Zbl 1200.35021
Cardone, Giuseppe; Panasenko, Grigory P.; Sirakov, Yvan
2010
Homogenization in perforated domains with mixed conditions. Zbl 1046.35007
Cardone, G.; D’Apice, C.; De Maio, U.
2002
Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234
Buttazzo, G.; Cardone, G.; Nazarov, S. A.
2016
Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure. Zbl 1452.76043
Cardone, G.; Fares, R.; Panasenko, G. P.
2012
Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems. Zbl 1386.35280
Bakharev, F. L.; Cardone, G.; Nazarov, S. A.; Taskinen, J.
2017
Bingham flow in porous media with obstacles of different size. Zbl 1373.35030
Bunoiu, Renata; Cardone, Giuseppe
2017
On the rate of convergence for perforated plates with a small interior Dirichlet zone. Zbl 1264.74189
Cardone, G.; Nazarov, S. A.; Piatnitski, A. L.
2011
Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain. Zbl 1133.35038
Cardone, Giuseppe; Nazarov, Sergey A.; Sokolowski, Jan; Taskinen, Jari
2007
A compactness result for elliptic equations with subquadratic growth in perforated domains. Zbl 0988.35060
Cardone, Giuseppe; Donato, Patrizia; Gaudiello, Antonio
1998
Homogenization of some problems with gradient constraints. Zbl 1077.35014
Cardone, G.; Corbo Esposito, A.; Yosifian, G. A.; Zhikov, V. V.
2004
Estimates in homogenization of degenerate elliptic equations by spectral method. Zbl 1270.35060
Cardone, G.; Pastukhova, S. E.; Perugia, C.
2013
Korn’s inequality for periodic solids and convergence rate of homogenization. Zbl 1170.74040
Cardone, G.; Corbo Esposito, A.; Nazarov, S. A.
2009
Asymptotic analysis of the steady Stokes equation with randomly perturbed viscosity in a thin tube structure. Zbl 1290.35196
Cardone, G.; Carraro, L.; Fares, G. R.; Panasenko, G. P.
2011
Scalar boundary value problems on junctions of thin rods and plates. Zbl 1307.35043
Bunoiu, R.; Cardone, G.; Nazarov, S. A.
2014
Norm-resolvent convergence for elliptic operators in domain with perforation along curve. Zbl 1304.35058
Borisov, Denis; Cardone, Giuseppe; Durante, Tiziana
2014
Homogenization of 2D Cahn-Hilliard-Navier-Stokes system. Zbl 1441.35024
Bunoiu, R.; Cardone, G.; Kengne, R.; Woukeng, J. L.
2020
The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions. Zbl 1386.35281
Cardone, G.; Durante, T.; Nazarov, S. A.
2017
Asymptotic behavior of a Bingham flow in thin domains with rough boundary. Zbl 1470.35277
Cardone, Giuseppe; Perugia, Carmen; Villanueva Pesqueira, Manuel
2021
Hausdorff dimension for level sets of upper and lower limits of generalized averages of binary digits. Zbl 1114.28004
Cardone, G.; Corbo Esposito, A.; Faella, L.
2006
“Absorption” effect for elastic waves by the beak-shaped boundary irregularity. Zbl 1421.74051
Cardone, G.; Nazarov, S. A.; Taskinen, J.
2009
Homogenization of the mixed boundary-value problem for a formally selfadjoint elliptic system in a periodically perforated domain. Zbl 1200.35100
Cardone, G.; Corbo Esposito, A.; Nazarov, S. A.
2010
Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation. Zbl 1491.35132
Cardone, Giuseppe; Durante, T.; Nazarov, S. A.
2018
Spectrum of a singularly perturbed periodic thin waveguide. Zbl 1372.35195
Cardone, Giuseppe; Khrabustovskyi, Andrii
2017
Homogenization of elliptic equations with quadratic growth in periodically perforated domains: The case of unbounded solutions. Zbl 0876.35010
Cardone, G.; Gaudiello, A.
1997
On the variational convergence of non-coercive quadratic integral functionals and semicontinuity problems. Zbl 1028.49008
Acanfora, F.; Cardone, G.; Mortola, S.
2003
Homogenization of scalar problems for a combined structure with singular or thin reinforcement. Zbl 1156.35312
Cardone, G.; Corbo Esposito, A.; Pastukhova, S. E.
2007
Homogenization of Dirichlet and Neumann problems with gradient constraints. Zbl 1113.49015
Cardone, Giuseppe; Esposito, Antonio Corbo; Paderni, Gabriella
2006
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Zbl 1116.35310
Berlyand, Leonid; Cardone, Giuseppe; Gorb, Yuliya; Panasenko, Gregory
2006
Homogenization of elasticity problems with gradient constraints. (Homogenization of elasticit problems with gradient constraints.) Zbl 1358.74047
Cardone, Giuseppe; Esposito, Antonio Corbo; Paderni, Gabriella
2006
$$\delta^{\prime}$$-interaction as a limit of a thin Neumann waveguide with transversal window. Zbl 1418.35095
Cardone, Giuseppe; Khrabustovskyi, Andrii
2019
Homogenization results for a coupled system of reaction-diffusion equations. Zbl 1425.35096
Cardone, G.; Perugia, C.; Timofte, C.
2019
Example of a periodic Neumann waveguide with a gap in its spectrum. Zbl 1372.81076
Cardone, Giuseppe; Khrabustovskyi, Andrii
2017
Asymptotic behavior of a Bingham flow in thin domains with rough boundary. Zbl 1470.35277
Cardone, Giuseppe; Perugia, Carmen; Villanueva Pesqueira, Manuel
2021
Homogenization of 2D Cahn-Hilliard-Navier-Stokes system. Zbl 1441.35024
Bunoiu, R.; Cardone, G.; Kengne, R.; Woukeng, J. L.
2020
$$\delta^{\prime}$$-interaction as a limit of a thin Neumann waveguide with transversal window. Zbl 1418.35095
Cardone, Giuseppe; Khrabustovskyi, Andrii
2019
Homogenization results for a coupled system of reaction-diffusion equations. Zbl 1425.35096
Cardone, G.; Perugia, C.; Timofte, C.
2019
Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation. Zbl 1491.35132
Cardone, Giuseppe; Durante, T.; Nazarov, S. A.
2018
Thin elastic plates supported over small areas. II: Variational-asymptotic models. Zbl 1462.74103
Buttazzo, Giuseppe; Cardone, Giuseppe; Nazarov, Sergei A.
2017
Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems. Zbl 1386.35280
Bakharev, F. L.; Cardone, G.; Nazarov, S. A.; Taskinen, J.
2017
Bingham flow in porous media with obstacles of different size. Zbl 1373.35030
Bunoiu, Renata; Cardone, Giuseppe
2017
The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions. Zbl 1386.35281
Cardone, G.; Durante, T.; Nazarov, S. A.
2017
Spectrum of a singularly perturbed periodic thin waveguide. Zbl 1372.35195
Cardone, Giuseppe; Khrabustovskyi, Andrii
2017
Example of a periodic Neumann waveguide with a gap in its spectrum. Zbl 1372.81076
Cardone, Giuseppe; Khrabustovskyi, Andrii
2017
Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve. Zbl 1361.35021
Borisov, Denis; Cardone, Giuseppe; Durante, Tiziana
2016
Thin elastic plates supported over small areas. I: Korn’s inequalities and boundary layers. Zbl 1349.74234
Buttazzo, G.; Cardone, G.; Nazarov, S. A.
2016
Spectra of open waveguides in periodic media. Zbl 1322.35097
Cardone, G.; Nazarov, S. A.; Taskinen, J.
2015
Neumann spectral problem in a domain with very corrugated boundary. Zbl 1443.35009
Cardone, Giuseppe; Khrabustovskyi, Andrii
2015
Scalar boundary value problems on junctions of thin rods and plates. Zbl 1307.35043
Bunoiu, R.; Cardone, G.; Nazarov, S. A.
2014
Norm-resolvent convergence for elliptic operators in domain with perforation along curve. Zbl 1304.35058
Borisov, Denis; Cardone, Giuseppe; Durante, Tiziana
2014
Waveguide with non-periodically alternating Dirichlet and Robin conditions: Homogenization and asymptotics. Zbl 1282.35033
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe
2013
Uniform resolvent convergence for strip with fast oscillating boundary. Zbl 1286.35025
Borisov, Denis; Cardone, Giuseppe; Faella, Luisa; Perugia, Carmen
2013
Bound states of a converging quantum waveguide. Zbl 1333.35131
Cardone, Giuseppe; Nazarov, Sergei A.; Ruotsalainen, Keijo
2013
Estimates in homogenization of degenerate elliptic equations by spectral method. Zbl 1270.35060
Cardone, G.; Pastukhova, S. E.; Perugia, C.
2013
Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide. Zbl 1238.35071
Cardone, G.; Nazarov, S. A.; Ruotsalainen, K.
2012
Planar waveguide with “twisted” boundary conditions: small width. Zbl 1274.81108
Borisov, Denis; Cardone, Giuseppe
2012
Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure. Zbl 1452.76043
Cardone, G.; Fares, R.; Panasenko, G. P.
2012
Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows. Zbl 1290.81038
Borisov, D.; Bunoiu, R.; Cardone, G.
2011
Planar waveguide with ”twisted” boundary conditions: Discrete spectrum. Zbl 1273.81100
Borisov, Denis; Cardone, Giuseppe
2011
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods. Zbl 1223.35248
Borisov, Denis; Cardone, Giuseppe
2011
On a waveguide with an infinite number of small windows. (Sur un guide d’onde avec un nombre infini de petites fentes.) Zbl 1211.35098
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe
2011
Spectral approach to homogenization of an elliptic operator periodic in some directions. Zbl 1221.35256
Bunoiu, R.; Cardone, G.; Suslina, T.
2011
On the rate of convergence for perforated plates with a small interior Dirichlet zone. Zbl 1264.74189
Cardone, G.; Nazarov, S. A.; Piatnitski, A. L.
2011
Asymptotic analysis of the steady Stokes equation with randomly perturbed viscosity in a thin tube structure. Zbl 1290.35196
Cardone, G.; Carraro, L.; Fares, G. R.; Panasenko, G. P.
2011
On a waveguide with frequently alternating boundary conditions: homogenized Neumann condition. Zbl 1210.82077
Borisov, Denis; Bunoiu, Renata; Cardone, Giuseppe
2010
A gap in the essential spectrum of a cylindrical waveguide with a periodic perturbation of the surface. Zbl 1213.35327
Cardone, Giuseppe; Nazarov, Sergey A.; Perugia, Carmen
2010
The localization effect for eigenfunctions of the mixed boundary value problem in a thin cylinder with distorted ends. Zbl 1219.35147
Cardone, G.; Durante, T.; Nazarov, S. A.
2010
Asymptotic analysis, polarization matrices, and topological derivatives for piezoelectric materials with small voids. Zbl 1204.35158
Cardone, G.; Nazarov, S. A.; Sokolowski, J.
2010
Water-waves modes trapped in a canal by a near-surface rough body. Zbl 1375.76024
Cardone, Giuseppe; Durante, Tiziana; Nazarov, Sergey A.
2010
Asymptotic analysis and numerical modeling of mass transport in tubular structures. Zbl 1200.35021
Cardone, Giuseppe; Panasenko, Grigory P.; Sirakov, Yvan
2010
Homogenization of the mixed boundary-value problem for a formally selfadjoint elliptic system in a periodically perforated domain. Zbl 1200.35100
Cardone, G.; Corbo Esposito, A.; Nazarov, S. A.
2010
Homogenization of the planar waveguide with frequently alternating boundary conditions. Zbl 1178.81088
Borisov, D.; Cardone, G.
2009
Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary. Zbl 1175.35040
Cardone, G.; Nazarov, S. A.; Sokolowski, J.
2009
A criterion for the existence of the essential spectrum for beak-shaped elastic bodies. Zbl 1387.35570
Cardone, G.; Nazarov, S. A.; Taskinen, J.
2009
Korn’s inequality for periodic solids and convergence rate of homogenization. Zbl 1170.74040
Cardone, G.; Corbo Esposito, A.; Nazarov, S. A.
2009
“Absorption” effect for elastic waves by the beak-shaped boundary irregularity. Zbl 1421.74051
Cardone, G.; Nazarov, S. A.; Taskinen, J.
2009
Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain. Zbl 1133.35038
Cardone, Giuseppe; Nazarov, Sergey A.; Sokolowski, Jan; Taskinen, Jari
2007
Homogenization of scalar problems for a combined structure with singular or thin reinforcement. Zbl 1156.35312
Cardone, G.; Corbo Esposito, A.; Pastukhova, S. E.
2007
Asymptotic partial decomposition for diffusion with sorption in thin structures. Zbl 1103.35029
Cardone, G.; Corbo Esposito, A.; Panasenko, G. P.
2006
Hausdorff dimension for level sets of upper and lower limits of generalized averages of binary digits. Zbl 1114.28004
Cardone, G.; Corbo Esposito, A.; Faella, L.
2006
Homogenization of Dirichlet and Neumann problems with gradient constraints. Zbl 1113.49015
Cardone, Giuseppe; Esposito, Antonio Corbo; Paderni, Gabriella
2006
Asymptotic analysis of an array of closely spaced absolutely conductive inclusions. Zbl 1116.35310
Berlyand, Leonid; Cardone, Giuseppe; Gorb, Yuliya; Panasenko, Gregory
2006
Homogenization of elasticity problems with gradient constraints. (Homogenization of elasticit problems with gradient constraints.) Zbl 1358.74047
Cardone, Giuseppe; Esposito, Antonio Corbo; Paderni, Gabriella
2006
Binary digits expansion of numbers: Hausdorff dimensions of intersections of level sets of averages’ upper and lower limits. Zbl 1073.28005
Carbone, L.; Cardone, G.; Corbo Esposito, A.
2004
Homogenization of some problems with gradient constraints. Zbl 1077.35014
Cardone, G.; Corbo Esposito, A.; Yosifian, G. A.; Zhikov, V. V.
2004
On the variational convergence of non-coercive quadratic integral functionals and semicontinuity problems. Zbl 1028.49008
Acanfora, F.; Cardone, G.; Mortola, S.
2003
Homogenization in perforated domains with mixed conditions. Zbl 1046.35007
Cardone, G.; D&rsquo;Apice, C.; De Maio, U.
2002
A compactness result for elliptic equations with subquadratic growth in perforated domains. Zbl 0988.35060
Cardone, Giuseppe; Donato, Patrizia; Gaudiello, Antonio
1998
Homogenization of elliptic equations with quadratic growth in periodically perforated domains: The case of unbounded solutions. Zbl 0876.35010
Cardone, G.; Gaudiello, A.
1997
all top 5

### Cited by 169 Authors

 53 Nazarov, Sergeĭ Aleksandrovich 30 Borisov, Denis Ivanovich 25 Cardone, Giuseppe 11 Bunoiu, Renata 11 Taskinen, Jari 7 Chesnel, Lucas 7 Panasenko, Grigory P. 6 Bakharev, Fedor L’vovich 5 Khrabustovskyi, Andrii 5 Pileckas, Konstantin 4 Gaudiello, Antonio 4 Perugia, Carmen 4 Ruotsalainen, Keijo Matti 4 Sokołowski, Jan 3 De Maio, Umberto 3 Durante, Tiziana 3 Exner, Pavel 3 Faella, Luisa 3 Klevtsovskiy, Arsen V. 3 Krejčiřík, David 3 Leugering, Günter 3 Mel’nyk, Taras A. 3 Novotny, Antonio André 3 Piatnitski, Andrey L. 3 Stavre, Ruxandra 3 Woukeng, Jean Louis 2 Anguiano, María 2 Bonnet-Ben Dhia, Anne-Sophie 2 Briet, Philippe 2 Chechkin, Gregory Aleksandrovich 2 Claeys, Xavier 2 D’Apice, Ciro 2 Dong, Rong 2 Eismontaitė, Alicija 2 Fares, R. 2 Gadyl’shin, Rustem R. 2 Giusti, Sebastián M. 2 Givoli, Dan 2 Gómez, Delfina 2 Li, Dongsheng 2 Mel’nik, T. A. 2 Mukhametrakhimova, A. I. 2 Munnier, Alexandre 2 Pastukhova, Svetlana Evgenievna 2 Pereira, Marcone Corrêa 2 Pérez-martínez, María-eugenia 2 Plum, Michael 2 Pop, Iuliu Sorin 2 Raciene, Alicija 2 Senik, Nikita N. 2 Sharapov, Timur Farkhatovich 2 Uusitalo, Pauliina 2 Wang, Juan 2 Wang, Lihe 2 Zhao, Jie 1 Amar, Hanan 1 Ammann, Bernd Eberhard 1 Ammari, Habib M. 1 Amosov, Andreĭ Avenirovich 1 Anjali, TC 1 Anné, Colette 1 Anza Hafsa, Omar 1 Avila, Jake 1 Bastidas, Manuela 1 Bieganowski, Bartosz 1 Bikmetov, Aĭdar Renatovich 1 Blinova, Irina V. 1 Bouchitté, Guy 1 Bringedal, Carina 1 Bucur, Dorin 1 Buttazzo, Giuseppe 1 Cabarrubias, Bituin 1 Calabró, Francesco 1 Cardone, C. 1 Chechkina, Aleksandra Grigorievna 1 Cherednichenko, Kirill D. 1 Corbo Esposito, Antonio 1 Danilov, Leonid Ivanovich 1 Deng, Weibing 1 Donato, Patrizia 1 Esposito, A. Corbo 1 Ferraresso, Francesco 1 Glass, Olivier 1 Golovina, Anastasiya Mihajlovna 1 Große, Nadine 1 Haddadou, Hamid 1 Heleine, Jérémy 1 Henrot, Antoine 1 Hillairet, Matthieu 1 Hiltunen, Erik Orvehed 1 Hyvönen, Nuutti 1 Jimbo, Shuichi 1 Job, M. 1 Kamotskĭ, Il’ya Vladimirovich 1 Kelaï, Takfarinas 1 Kengne, Romanic 1 Kiselev, Alexander V. 1 Klevtsovs’kyi, A. V. 1 Kogut, Peter I. 1 Koralov, Leonid B. ...and 69 more Authors
all top 5

### Cited in 82 Serials

 26 Journal of Mathematical Sciences (New York) 10 Journal of Mathematical Physics 8 Applicable Analysis 8 Journal of Differential Equations 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Russian Journal of Mathematical Physics 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Siberian Mathematical Journal 4 Computational Mathematics and Mathematical Physics 3 Archive for Rational Mechanics and Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Integral Equations and Operator Theory 3 Asymptotic Analysis 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 SIAM Journal on Mathematical Analysis 3 St. Petersburg Mathematical Journal 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Networks and Heterogeneous Media 2 Journal of Applied Mathematics and Mechanics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Theoretical and Mathematical Physics 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Applied Mathematics and Optimization 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Journal of Elasticity 2 SIAM Journal on Applied Mathematics 2 Sbornik: Mathematics 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Annales Henri Poincaré 2 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Communications in Mathematical Physics 1 Journal of Fluid Mechanics 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 Journal of Convex Analysis 1 Izvestiya: Mathematics 1 Mathematical Problems in Engineering 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Abstract and Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of Mathematical Fluid Mechanics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Mathematical Modelling and Analysis 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Complex Variables and Elliptic Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Inverse Problems and Imaging 1 Advances in Pure and Applied Mathematics 1 Journal of Spectral Theory 1 Arabian Journal of Mathematics 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Advances in Applied Mathematics and Mechanics 1 Open Mathematics 1 Journal of Elliptic and Parabolic Equations
all top 5

### Cited in 26 Fields

 160 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 26 Fluid mechanics (76-XX) 26 Quantum theory (81-XX) 22 Operator theory (47-XX) 20 Optics, electromagnetic theory (78-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Numerical analysis (65-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)