On the asymptotic limit of the effectiveness of reaction–diffusion equations in periodically structured media

• Published in: Journal of mathematical analysis and applications Vol. 455; no. 2; pp. 1597 - 1613
• Main Authors: Díaz, J.I., Gómez-Castro, D., Podolskii, A.V., Shaposhnikova, T.A.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.11.2017
• Subjects: Effectiveness factor; Homogenization; Non-critical sizes; Non-linear boundary reaction; p-Laplace diffusion; p-Laplace diffusion; Homogenization; Effectiveness factor; Non-linear boundary reaction; Non-critical sizes

This paper addresses an investigation of the asymptotic behaviour as ε→0 of the solution to the boundary value problem associated with the p-Laplace operator in an ε-periodically structured domain with a nonlinear Robin-type condition specified on the boundary of the periodic subdomains. This kind o...