Sur les vibrations non régulières des plaques simplement supportées

Abstract

The purpose of this thesis is the study of some problems related to bilaplacien. For this aim, we consider a mathematical model in vibration in a non linear srface, for these problems, we use some existence results.This thesis is composed of three chapters. The first chapter deals with some reninders and preliminiries.We also mention the mahtematical outils used for the given results. We deal in the second chapter some problems for the bilaplacien in an open frontier that is regular enough. In the third chapter we talk about two problems of nonlinear vibration of plate.