7 papers
An abstract lagrangian framework for computing shape derivatives
Antoine Laurain, Pedro T. P. Lopes, Jean C. Nakasato
In this paper we study an abstract framework for computing shape derivatives of functionals subject to PDE constraints. We revisit the Lagrangian approach using the implicit functi…
Homogenization for nonlocal evolution problems with three different smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira +1
In this paper we consider the homogenization of the evolution problem associated with a jump process that involves three different smooth kernels that govern the jumps to/from diff…
Homogenization for nonlocal problems with smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira +1
In this paper we consider the homogenization problem for a nonlocal equation that involve different smooth kernels. We assume that the spacial domain is divided into a sequence of…
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…
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…
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…