3 papers
math.AP2019
The p-Laplacian equation in a rough thin domain with terms concentrating on the boundary
Ariadne Nogueira, Jean Carlos Nakasato
In this work we use reiterated homogenization and unfolding operator approach to study the asymptotic behavior of the solutions of the -Laplacian equation with Neumann boundary…
math.AP2019
Concentrated reaction terms on the boundary of rough domains for a quasilinear equation
Ariadne Nogueira, Jean Carlos Nakasato, Marcone C. Pereira
In this work we analyze the solutions of a -Laplacian equation with homogeneous Neumann boundary conditions set in a family of rough domains with a nonlinear term concentrated o…
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…