Benalili, MohammedTahri, Kamel2013-04-182013-04-182011-101021-9722https://dspace.univ-tlemcen.dz/handle/112/1796Nonlinear Differential Equations and Applications NoDEA , ISSN : 1021-9722, DOI: 10.1007/s00030-011-0106-5, Issue : 5, Volume : 18, pp. 539-556, OCT 2011.This paper deals with the existence of solutions to a class of fourth order nonlinear elliptic equations. The technique used relies on critical points theory. The solutions appeared as critical points of a functional restricted to a suitable manifold. In the case of constant coefficients we obtain the existence of three distinct solutions.enArticle