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

Ali Maalaoui, Vittorio Martino

Abstract


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.

Keywords


Critical exponent; Paneitz-Branson operator

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