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math.AP2018
Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries
José M. Arrieta, Ariadne Nogueira, Marcone C. Pereira
In this work we study the behavior of a family of solutions of a semilinear elliptic equation, with homogeneous Neumann boundary condition, posed in a two-dimensional oscillating t…
math.AP2018★ 26 cited
The p-Laplacian equation in thin domains: The unfolding approach
José Maria Arrieta, Jean Carlos Nakasato, Marcone Corrêa Pereira
In this work we apply the unfolding operator method to analyze the asymptotic behavior of the solutions of the -Laplacian equation with Neumann boundary condition set in a bound…