6 papers
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…
Dynamical boundary conditions in a non-cylindrical domain for the Laplace equation
Pedro T. P. Lopes, Marcone C. Pereira
In this paper, we study existence, uniqueness and asymptotic behavior of the Laplace equation with dynamical boundary conditions on regular non-cylindrical domains. We write the pr…
Continuity of attractors for a family of perturbations of the square
Pricila S. Barbosa, Antônio L. Pereira, Marcone C. Pereira
We consider here the family of semilinear parabolic problems \begin{equation*} \begin{array}{rcl} \left\{ \begin{array}{rcl} u_t(x,t)&=&Δu(x,t) -au(x,t) + f(u(x,t)) ,\,\,\ x \in Ω_…