Existence and multiplicity results for a non-homogeneous fourth order equation

Abstrakt

In this paper we investigate the problem of existence and multiplicity of solutions for a non-homogeneous fourth order Yamabe type equation. We exhibit a family of solutions concentrating at two points, provided the domain contains one hole and we give a multiplicity result if the domain has multiple holes. Also we prove a multiplicity result for vanishing positive solutions in a general domain.