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Cited article:

On the corrector term in the homogenization of the nonlinear Poisson-Robin problem giving rise to a strange term: Application to an optimal control problem

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Journal of Mathematical Analysis and Applications 543 (1) 128867 (2025)
https://doi.org/10.1016/j.jmaa.2024.128867

Strange Operator in Homogenization of the Diffusion Equation in a Domain Perforated Along of a Manifold with Dynamic Signorini Condition on Perforation Boundary. Critical Case

A. V. Podolskiy and T. A. Shaposhnikova
Journal of Mathematical Sciences 279 (4) 525 (2024)
https://doi.org/10.1007/s10958-024-07030-2

Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles

Jesús Ildefonso Díaz, Alexander Vadimovich Podolskiy and Tatiana Ardolionovna Shaposhnikova
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118 (1) (2024)
https://doi.org/10.1007/s13398-023-01503-w

On p-Laplacian Reaction–Diffusion Problems with Dynamical Boundary Conditions in Perforated Media

María Anguiano
Mediterranean Journal of Mathematics 20 (3) (2023)
https://doi.org/10.1007/s00009-023-02333-1

Homogenization of A Boundary-Value Problem in A Domain Perforated by Cavities of Arbitrary Shape with A General Nonlinear Boundary Condition On Their Boundaries: The Case of Critical Values of the Parameters

M. N. Zubova and T. A. Shaposhnikova
Journal of Mathematical Sciences 244 (2) 235 (2020)
https://doi.org/10.1007/s10958-019-04616-z

Homogenization of a Boundary Value Problem for the n-Laplace Operator on a n-Dimensional Domain with Rapidly Alternating Boundary Condition Type: The Critical Case

A. V. Podolskiy and T. A. Shaposhnikova
Differential Equations 55 (4) 523 (2019)
https://doi.org/10.1134/S0012266119040104

Homogenization of Variational Inequalities for the p-Laplace Operator in Perforated Media Along Manifolds

D. Gómez, E. Pérez, A. V. Podolskii and T. A. Shaposhnikova
Applied Mathematics & Optimization 79 (3) 695 (2019)
https://doi.org/10.1007/s00245-017-9453-x

Homogenization of the Boundary Value Problem for the Poisson Equation with Rapidly Oscillating Nonlinear Boundary Conditions: Space Dimension n ≥ 3, Critical Case

A. V. Podolskiy and T. A. Shaposhnikova
Doklady Mathematics 99 (2) 160 (2019)
https://doi.org/10.1134/S1064562419020182

Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary

Antonio Gaudiello and Taras Mel’nyk
Nonlinearity 32 (12) 5150 (2019)
https://doi.org/10.1088/1361-6544/ab46e9

Integral Methods in Science and Engineering, Volume 1

D. Gómez, E. Pérez, A. V. Podol’skii and T. A. Shaposhnikova
Integral Methods in Science and Engineering, Volume 1 119 (2017)
https://doi.org/10.1007/978-3-319-59384-5_11