7 papers · 1 filter
Periodic Homogenization of Local/Nonlocal Systems
Marcone C. Pereira, Luiza C. Rosa da Silva, Julio D. Rossi
In this paper, we study the homogenization of elliptic equations that combine a local part, given by the Laplacian with Neumann boundary conditions, and its nonlocal version, defin…
Attractor Continuity for Semilinear Parabolic Equations on Thin Domains with Degenerating Outward Peaks
Elaine A. Tavares-Lima, Bianca Lorenzi, Marcone C. Pereira
In this work, we analyze the asymptotic behavior of the attractors associated with a semilinear parabolic equation subject to homogeneous Neumann boundary conditions and defined on…
Nonlocal and nonlinear evolution equations in perforated domains
Marcone C. Pereira, Silvia Sastre-Gomez
In this work we analyze the behavior of the solutions to nonlocal evolution equations of the form with in a…
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…
Nonlocal problems in perforated domains
Marcone C. Pereira, Julio D. Rossi
In this paper we analyze nonlocal equations in perforated domains. We consider nonlocal problems of the form with in a perforated doma…
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…