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Strange non-local operators homogenizing the Poisson equation with dynamical unilateral boundary conditions: asymmetric particles of critical size
Jesus Ildefonso Diaz, Tatiana A. Shaposhnikova and Alexander V. Podolskiy Electronic Journal of Differential Equations 2024(01-??) 03 (2024) https://doi.org/10.58997/ejde.2024.03
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
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
Aperiodical isoperimetric planar homogenization with critical diameter: universal non-local strange term for a dynamical unilateral boundary condition
J. I. Diaz, T. A. Shaposhnikova and A. V. Podolskiy Доклады Российской академии наук. Математика, информатика, процессы управления 515(1) 18 (2024) https://doi.org/10.31857/S2686954324010037
Homogenization of a parabolic equation in a perforated domain with a unilateral dynamic boundary condition: critical case
Unilateral problems for thep-Laplace operator in perforated media involving large parameters
Delfina Gómez, Miguel Lobo, Eugenia Pérez, Alexander V. Podolskii and Tatiana A. Shaposhnikova ESAIM: Control, Optimisation and Calculus of Variations 24(3) 921 (2018) https://doi.org/10.1051/cocv/2017026
Two-scale homogenization of the Poisson equation with friction boundary condition in a perforated domain
Upscaling of variational inequalities arising in nonlinear problems with unilateral constraints
C. Timofte ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 87(6) 406 (2007) https://doi.org/10.1002/zamm.200610324