The \(p\)-Laplacian equation in a rough thin domain with terms concentrating on the boundary (Q2196661)
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| Language | Label | Description | Also known as |
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| English | The \(p\)-Laplacian equation in a rough thin domain with terms concentrating on the boundary |
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The \(p\)-Laplacian equation in a rough thin domain with terms concentrating on the boundary (English)
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3 September 2020
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The authors employ the concepts of reiterated homogenization and periodic unfolding operator to investigate the asymptotic behavior of the solutions of the \(p\)-Laplacian equation with Neumann boundary conditions posed on a rough thin domain with concentrated terms on the boundary. They distinguish between three (scaling-wise) different situations, namely weak, resonant and high roughness, and then derive effective (upscaled) equations for each case.
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Neumann boundary condition
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thin domains
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reiterated homogenization
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periodic unfolding operator
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weak, resonant and high roughness
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