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
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Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s10958-024-07030-2.pdf
Reference14 articles.
1. J. I. Díaz, A. V. Podolskiy, and T. A. Shaposhnikova, “Unexpected regionally negative solutions of the homogenization of Poisson equation with dynamic unilateral boundary conditions: critical symmetric particles,” Rev. R. Acad. Cienc. Exactas. Fis. Nat., Ser. A Mat., RACSAM 118, No. 1, Paper 9 (2024).
2. A. V. Podolskiy and T. A. Shaposhnikova, “Homogenization of a parabolic equation in a perforated domain with unilateral dynamic boundary conditions. Critical case” [in Russian], Sovrem. Mat., Fundam. Napravlenia 68, No. 4, 671–685 (2022).
3. W. Jager, M. Neuss-Radu, and T. A. Shaposhnikova, “Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain,” Nonlinear Anal., Real World Appl. 15, 367–380 (2014).
4. D. Gómez, M. Lobo, M. E. Pérez, A. V. Podolskiy, and T. A. Shaposhnikova, “Unilateral problems for the p-Laplace operator in perforated media involving large parameters,” ESAIM Control Optim. Calc. Var. 24, No. 3, 921–964 (2018).
5. J. I. Díaz, D. Gómez-Castro, and T. A. Shaposhnikova, Nonlinear Reaction-Diffusion Processes for Nanocomposites. Anomalous Improved Homogenization, De Gruyter, Berlin (2021).
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