In this paper, we consider a non-Newtonian flow in a thin porous medium Ω _ ε Ω ε of
thickness ε ε which is perforated by periodically solid cylinders of size a_ ε a ε. The flow is …

In this paper we analyze the asymptotic behavior of a control problem set by a convection-
reaction-diffusion equation with mixed boundary conditions and defined in a tubular thin …

We consider the Dirichlet Laplacian in unbounded strips on ruled surfaces in any space
dimension. We locate the essential spectrum under the condition that the strip is …

In this paper we consider nonlocal problems in thin domains. First, we deal with a nonlocal
Neumann problem, that is, we study the behavior of the solutions to f (x)=∫ Ω 1× Ω 2 J ϵ (x …

In this work we study the asymptotic behavior of solutions to the p-Laplacian equation posed
in a 2-dimensional open set which degenerates into a line segment when a positive …

In this paper, we consider parabolic nonlocal problems in thin domains. Fix and consider be
the solution to with initial condition and a kernel of the form with J non-singular. This …

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 thin …

We consider a singularly perturbed Dirichlet spectral problem for an elliptic operator of
second order. The coefficients of the operator are assumed to be locally periodic and …

In this paper we consider nonlocal fractional problems in thin domains. Given open bounded
subsets U⊂ R n and V⊂ R m, we show that the solution u ε to Δ xsu ε (x, y)+ Δ ytu ε (x, y)= f …

We study the operator− div (A (x)∇ ψ (x)) restricted to a waveguide Ω 𝜀⊂ ℝ 3, with
heterogeneous function A (x) constant in the longitudinal direction. The purpose is to obtain …