Existence and multiplicity of solutions to fourth order elliptic equations with critical exponent on compact manifolds

Benalili, Mohammed2013-06-062013-06-0620101370-1444https://dspace.univ-tlemcen.dz/handle/112/1956BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, ISSN : 1370-1444, Issue : 4, Volume : 17, pp. 607-622, 2010.This paper deals with some perturbation of the so called prescribed scalar Q-curvature type equations on compact Riemannian manifolds; these equations are fourth order elliptic and of critical Sobolev growth. Sufficient conditions are given to have at least two distinct solutions first without using the concentration-compactness technic but with a suitable range of the parameters and secondly by using the concentration-compactness methods.enFourth order elliptic equationcritical Sobolev exponentExistence and multiplicity of solutions to fourth order elliptic equations with critical exponent on compact manifoldsArticle