English

Nonlinear elliptic fourth order equations existence and multiplicity results

Differential Geometry 2010-10-06 v2

Abstract

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 tree distinct solutions.

Keywords

Cite

@article{arxiv.1004.2669,
  title  = {Nonlinear elliptic fourth order equations existence and multiplicity results},
  author = {Mohammed Benalili and Kamel Tahri},
  journal= {arXiv preprint arXiv:1004.2669},
  year   = {2010}
}
R2 v1 2026-06-21T15:10:50.787Z