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A reiterated homogenization problem for the p-Laplacian equation in corrugated thin domains.

Authors :
Nakasato, Jean Carlos
Pereira, Marcone CorrĂȘa
Source :
Journal of Differential Equations. May2024, Vol. 392, p165-208. 44p.
Publication Year :
2024

Abstract

In this paper, we study the asymptotic behavior of the solutions of the p -Laplacian equation with mixed homogeneous Neumann-Dirichlet boundary conditions. It is posed in a two-dimensional rough thin domain with two different composites periodically distributed. Each composite has its own periodicity and roughness order. Here, we obtain distinct homogenized limit equations which will depend on the relationship among the roughness and thickness orders of each one. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00220396
Volume :
392
Database :
Academic Search Index
Journal :
Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
176121641
Full Text :
https://doi.org/10.1016/j.jde.2024.02.017