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  1. Mathematical derivation and analysis of a mixture model of tumor growth

    Article • Nonlinear Analysis Real World Applications, October 2026, Elsevier

    Prof. Giuseppe Cardone

  2. Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers

    Article • Mathematical Models and Methods in Applied Sciences, April 2024, World Scientific Pub Co Pte Lt

    Dr Jean Louis Woukeng, Prof. Giuseppe Cardone

  3. Nonlinear coupled system in thin domains with corrugated boundaries for metabolic processes

    Article • Annali di Matematica Pura ed Applicata (1923 -), March 2024, Springer Science + Business Media

    Prof. Giuseppe Cardone

  4. Localization of eigenfunctions in the Dirichlet beaker

    Article • Bulletin of the London Mathematical Society, February 2024, Wiley

    Prof. Giuseppe Cardone

  5. Asymptotic Expansions of Solutions to the Poisson Equation with Alternating Boundary Conditions on an Open Arc

    Article • SIAM Journal on Mathematical Analysis, November 2023, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Giuseppe Cardone

  6. Optimal control problem stated in a locally periodic rough domain: a homogenization study

    Article • Applicable Analysis, October 2023, Taylor & Francis

    Prof. Giuseppe Cardone

  7. Spectrum of the Laplacian on a Domain Perturbed by Small Resonators

    Article • SIAM Journal on Mathematical Analysis, August 2023, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Giuseppe Cardone

  8. Norm resolvent convergence for a planar strip with “twisted” boundary conditions

    Article • January 2023, American Institute of Physics

    Prof. Giuseppe Cardone

  9. Global dynamics of stochastic tidal equations

    Article • Nonlinear Analysis, December 2022, Elsevier

    Prof. Giuseppe Cardone, Dr Jean Louis Woukeng

  10. Homogenization of a nonlinear monotone problem in a locally periodic domain via unfolding method

    Article • Nonlinear Analysis Real World Applications, August 2022, Elsevier

    Prof. Giuseppe Cardone

  11. Asymptotic analysis of a planar waveguide perturbed by a non periodic perforation

    Article • Nanosystems Physics Chemistry Mathematics, February 2022, ITMO University

    Prof. Giuseppe Cardone

  12. Asymptotic Behavior of a Bingham Flow in Thin Domains with Rough Boundary

    Article • Integral Equations and Operator Theory, May 2021, Springer Science + Business Media

    Prof. Giuseppe Cardone

  13. On elliptic operators with Steklov condition perturbed by Dirichlet condition on a small part of boundary

    Article • Calculus of Variations and Partial Differential Equations, February 2021, Springer Science + Business Media

    Prof. Giuseppe Cardone

  14. Homogenization of a 2D Tidal Dynamics Equation

    Article • Mathematics, December 2020, MDPI AG

    Prof. Giuseppe Cardone, Dr Jean Louis Woukeng

  15. Homogenization of 2D Cahn–Hilliard–Navier–Stokes system

    Article • Journal of Elliptic and Parabolic Equations, May 2020, Springer Science + Business Media

    Prof. Giuseppe Cardone

  16. Homogenization results for a coupled system of reaction–diffusion equations

    Article • Nonlinear Analysis, November 2019, Elsevier

    Prof. Giuseppe Cardone

  17. δ′-interaction as a limit of a thin Neumann waveguide with transversal window

    Article • Journal of Mathematical Analysis and Applications, May 2019, Elsevier

    Prof. Giuseppe Cardone

  18. Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation

    Article • Journal de Mathématiques Pures et Appliquées, April 2018, Elsevier

    Prof. Giuseppe Cardone

  19. Corrector problem in the deterministic homogenization of nonlinear elliptic equations

    Article • Applicable Analysis, March 2018, Taylor & Francis

    Prof. Giuseppe Cardone

  20. Scalar problems in junctions of rods and a plate

    Article • ESAIM Mathematical Modelling and Numerical Analysis, March 2018, EDP Sciences

    Prof. Giuseppe Cardone

  21. Spectrum of a singularly perturbed periodic thin waveguide

    Article • Journal of Mathematical Analysis and Applications, October 2017, Elsevier

    Prof. Giuseppe Cardone

  22. The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions

    Article • Journal of Differential Equations, July 2017, Elsevier

    Prof. Giuseppe Cardone

  23. Effects of Rayleigh Waves on the Essential Spectrum in Perturbed Doubly Periodic Elliptic Problems

    Article • Integral Equations and Operator Theory, May 2017, Springer Science + Business Media

    Prof. Giuseppe Cardone

  24. Bingham flow in porous media with obstacles of different size

    Article • Mathematical Methods in the Applied Sciences, January 2017, Wiley

    Prof. Giuseppe Cardone

  25. Homogenization and norm-resolvent convergence for elliptic operators in a strip perforated along a curve

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, November 2016, Cambridge University Press

    Prof. Giuseppe Cardone

  26. Spectra of open waveguides in periodic media

    Article • Journal of Functional Analysis, October 2015, Elsevier

    Prof. Giuseppe Cardone

  27. Neumann spectral problem in a domain with very corrugated boundary

    Article • Journal of Differential Equations, September 2015, Elsevier

    Prof. Giuseppe Cardone

  28. Norm-resolvent convergence for elliptic operators in domain with perforation along curve

    Article • Comptes Rendus Mathématique, September 2014, Elsevier

    Prof. Giuseppe Cardone

  29. Scalar boundary value problems on junctions of thin rods and plates

    Article • ESAIM Mathematical Modelling and Numerical Analysis, August 2014, EDP Sciences

    Prof. Giuseppe Cardone

  30. Uniform resolvent convergence for strip with fast oscillating boundary

    Article • Journal of Differential Equations, December 2013, Elsevier

    Prof. Giuseppe Cardone

  31. Asymptotic analysis of an eigenvalue in the discrete spectrum of a quantum waveguide

    Article • January 2013, American Institute of Physics

    Prof. Giuseppe Cardone

  32. Estimates in homogenization of degenerate elliptic equations by spectral method

    Article • Asymptotic Analysis, January 2013, IOS Press

    Prof. Giuseppe Cardone

  33. Bound states of a converging quantum waveguide

    Article • ESAIM Mathematical Modelling and Numerical Analysis, November 2012, EDP Sciences

    Prof. Giuseppe Cardone

  34. Unfolding Method for the Homogenization of Bingham Flow

    Article • November 2012, Springer Science + Business Media

    Prof. Giuseppe Cardone

  35. Waveguide with non-periodically alternating Dirichlet and Robin conditions: homogenization and asymptotics

    Article • Zeitschrift für angewandte Mathematik und Physik, September 2012, Springer Science + Business Media

    Prof. Giuseppe Cardone

  36. Asymptotic expansion of the solution of the steady Stokes equation with variable viscosity in a two-dimensional tube structure

    Article • Journal of Mathematical Physics, September 2012, American Institute of Physics

    Prof. Giuseppe Cardone

  37. Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide

    Article • Sbornik Mathematics, February 2012, Institute of Physics Publishing

    Prof. Giuseppe Cardone

  38. Planar waveguide with “twisted” boundary conditions: Small width

    Article • Journal of Mathematical Physics, February 2012, American Institute of Physics

    Prof. Giuseppe Cardone

  39. Planar waveguide with “twisted” boundary conditions: Discrete spectrum

    Article • Journal of Mathematical Physics, December 2011, American Institute of Physics

    Prof. Giuseppe Cardone

  40. Asymptotic analysis of the steady stokes equation with randomly perturbed viscosity in a thin tube structure

    Article • Journal of Mathematical Sciences, July 2011, Springer Science + Business Media

    Prof. Giuseppe Cardone

  41. Homogenization and asymptotics for a waveguide with an infinite number of closely located small windows

    Article • Journal of Mathematical Sciences, July 2011, Springer Science + Business Media

    Prof. Giuseppe Cardone

  42. Spectral approach to homogenization of an elliptic operator periodic in some directions

    Article • Mathematical Methods in the Applied Sciences, April 2011, Wiley

    Prof. Giuseppe Cardone

  43. On a waveguide with an infinite number of small windows

    Article • Comptes Rendus Mathématique, January 2011, Elsevier

    Prof. Giuseppe Cardone

  44. On a Waveguide with Frequently Alternating Boundary Conditions: Homogenized Neumann Condition

    Article • Annales Henri Poincaré, December 2010, Springer Science + Business Media

    Prof. Giuseppe Cardone

  45. Water-waves modes trapped in a canal by a near-surface rough body

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, November 2010, Wiley

    Prof. Giuseppe Cardone

  46. On the rate of convergence for perforated plates with a small interior Dirichlet zone

    Article • Zeitschrift für angewandte Mathematik und Physik, November 2010, Springer Science + Business Media

    Prof. Giuseppe Cardone, Professor ANDREY Piatnitski

  47. A gap in the essential spectrum of a cylindrical waveguide with a periodic aperturbation of the surface

    Article • Mathematische Nachrichten, August 2010, Wiley

    Prof. Giuseppe Cardone

  48. Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods

    Article • ESAIM Control Optimisation and Calculus of Variations, August 2010, EDP Sciences

    Prof. Giuseppe Cardone

  49. Homogenization of the mixed boundary-value problem for a formally selfadjoint elliptic system in a periodically punched domain

    Article • St Petersburg Mathematical Journal, May 2010, American Mathematical Society (AMS)

    Prof. Giuseppe Cardone

  50. ASYMPTOTIC ANALYSIS AND NUMERICAL MODELING OF MASS TRANSPORT IN TUBULAR STRUCTURES

    Article • Mathematical Models and Methods in Applied Sciences, March 2010, World Scientific Pub Co Pte Lt

    Prof. Giuseppe Cardone

  51. Asymptotic Analysis, Polarization Matrices, and Topological Derivatives for Piezoelectric Materials with Small Voids

    Article • SIAM Journal on Control and Optimization, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Giuseppe Cardone

  52. The Localization Effect for Eigenfunctions of the Mixed Boundary Value Problem in a Thin Cylinder with Distorted Ends

    Article • SIAM Journal on Mathematical Analysis, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Prof. Giuseppe Cardone

  53. A criterion for the existence of the essential spectrum for beak-shaped elastic bodies

    Article • Journal de Mathématiques Pures et Appliquées, December 2009, Elsevier

    Prof. Giuseppe Cardone

  54. Gaps in the essential spectrum of periodic elastic waveguides

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, September 2009, Wiley

    Prof. Giuseppe Cardone

  55. Homogenization of the planar waveguide with frequently alternating boundary conditions

    Article • Journal of Physics A Mathematical and Theoretical, August 2009, Institute of Physics Publishing

    Prof. Giuseppe Cardone

  56. Korn's inequality for periodic solids and convergence rate of homogenization

    Article • Applicable Analysis, June 2009, Taylor & Francis

    Prof. Giuseppe Cardone

  57. Modeling junctions of plates and beams by means of self-adjoint extensions

    Article • Vestnik St Petersburg University Mathematics, May 2009, Allerton Press

    Prof. Giuseppe Cardone

  58. “Absorption” effect for elastic waves by the beak-shaped boundary irregularity

    Article • Doklady Physics, March 2009, Pleiades Publishing Ltd

    Prof. Giuseppe Cardone

  59. Asymptotics of solutions of the Neumann problem in a domain with closely posed components of the boundary

    Article • Asymptotic Analysis, January 2009, IOS Press

    Prof. Giuseppe Cardone

  60. Asymptotics of Neumann harmonics when a cavity is close to the exterior boundary of the domain

    Article • Comptes Rendus Mécanique, December 2007, Elsevier

    Prof. Giuseppe Cardone

  61. Asymptotic partial decomposition for diffusion with sorption in thin structures

    Article • Nonlinear Analysis, July 2006, Elsevier

    Prof. Giuseppe Cardone

  62. Hausdorff dimension for level sets of upper and lower limits of generalized averages of binary digits

    Article • Mathematical Methods in the Applied Sciences, January 2006, Wiley

    Prof. Giuseppe Cardone

  63. Homogenization of Gradient-Constrained Problems with Respect to Periodic Measures

    Article • Journal of Mathematical Sciences, November 2005, Springer Science + Business Media

    Prof. Giuseppe Cardone

  64. A one-dimensional variational problem with gradient constraint

    Article • Applicable Analysis, July 2004, Taylor & Francis

    Prof. Giuseppe Cardone

  65. On the variational convergence of non-coercive quadratic integral functionals and semicontinuity problems

    Article • Nonlinear Differential Equations and Applications NoDEA, July 2003, Springer Science + Business Media

    Prof. Giuseppe Cardone

  66. Homogenization in perforated domains with mixed conditions

    Article • Nonlinear Differential Equations and Applications NoDEA, July 2002, Springer Science + Business Media

    Prof. Giuseppe Cardone

  67. An Integral Representation Result for the Γ-Limit of Functionals with Non-standard Growth Conditions in the Case of Elasticity

    Article • Applicable Analysis, January 2002, Taylor & Francis

    Prof. Giuseppe Cardone

  68. A compactness result for elliptic equations with subquadratic growth in perforated domains

    Article • Nonlinear Analysis, May 1998, Elsevier

    Prof. Giuseppe Cardone