ETUDE DE QUELQUES PROBLEMES AUX LIMITES GOUVERNES PAR LE SYSTEME DE LAME AFFECTE D'UN POIDS DANS UN POLYGONE

Abstract

In this work, we study some problems controlled by the system of Lame disturbed by a weight function, in an open limited plan, with polygonal border. It will be shown that this weight function plays a very important part in the study of the existence of the solution of these problems. In the traditional case, the existence of the solution of these problems depends on the openings of the angles of the polygon, but if we affect the operator of Lame by a suitably selected weight function, one will show that the solution does not depend on the angles of the polygon. This study is more original and it covers the traditional case