In this paper we analyze the behavior of the Laplace operator with Neumann
boundary conditions in a thin domain of the type Rϵ={(x,y)∈R2;x∈(0,1),0<y<ϵG(x,x/ϵ)} where the function
G(x,y) is periodic in y of period L. Observe that the upper boundary of the
thin domain presents a highly oscillatory behavior and, moreover, the height of
the thin domain, the amplitude and period of the oscillations are all of the
same order, given by the small parameter ϵ.Comment: 27 pages, 2 figure