Existence of nonzero weak solutions for a class of elliptic variational inclusions systems in R N
We consider the following variational inclusions system of the form −� u + u ∈ ∂1 F(u ,v ) in R N , −� v + v ∈ ∂2 F(u ,v ) in R N ,
In this article we study the waves equation on an high-tension pillars with alveolar form. Geometric, high-tension pillars are represented by a thin, tall structure where the edge base is denoted by e, the thickness of the material - distributed along the layers is denoted by  and the alveoli is distributed with the period  . The parameters ,, e   are considered small, e   . This article consists in passing to the limit after 0 e  , 0   , 0   in this order, in the problem of the free vibration, the result is a mixed problem for the one-dimensional wave equation, in which the homogenized coefficient that appears is a combination between the constants that characterized the material. The result of our paper is identically with the result from (3).