4 papers
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…
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…
Spectral analysis of the biharmonic operator subject to Neumann boundary conditions on dumbbell domains
José M. Arrieta, Francesco Ferraresso, Pier Domenico Lamberti
We consider the biharmonic operator subject to homogeneous boundary conditions of Neumann type on a planar dumbbell domain which consists of two disjoint domains connected by a thi…
Boundary homogenization for a triharmonic intermediate problem
José Arrieta, Francesco Ferraresso, Pier Domenico Lamberti
We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N-dimensional Euclidean space. We study its spectral…