26 citations · 39 across the 7 of their papers we have counts for
9 papers
The Hadamard formula and the Rayleigh-Faber-Krahn inequality for nonlocal eigenvalue problems
Rafael D. Benguria, Mariel Sáez, Marcone C. Pereira
In this paper we obtain a Hadamard type formula for simple eigenvalues and an analog to the Rayleigh-Faber-Krahn inequality for a class of nonlocal eigenvalue problems. Such class…
The p-Laplacian in thin channels with locally periodic rough boundaries
J. C. Nakasato, M. C. Pereira
In this work we analyze the asymptotic behavior of the solutions of the -Laplacian equation with homogeneous Neumann boundary conditions set in bounded thin domains as $$R^\vare…
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…
Remarks on the spectrum of a nonlocal Dirichlet problem
Rafael D. Benguria, Marcone C. Pereira
In this paper we analyse the spectrum of nonlocal Dirichlet problems with non-singular kernels in bounded open sets. The novelty is the continuity of eigenvalues with respect to do…
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…
The p-Laplacian operator in oscillating thin domains
Jean Carlos Nakasato, Marcone Corrêa Pereira
In this paper we study the asymptotic behavior of the solutions of a class of nonlinear elliptic problems posed in a 2-dimensional domain that degenerates into a line segment (a th…
Continuity of attractors for a nonlinear parabolic problem with terms concentrating in the boundary
Gleiciane S. Aragão, Antônio L. Pereira, Marcone C. Pereira
We analyze the dynamics of the flow generated by a nonlinear parabolic problem when some reaction and potential terms are concentrated in a neighborhood of the boundary. We assume…
Error estimates for a Neumann problem in highly oscillating thin domains
Marcone Corrêa Pereira, Ricardo Parreira da Silva
In this work we analyze convergence of solutions for the Laplace operator with Neumann boundary conditions in a two-dimensional highly oscillating domain which degenerates into a s…