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.
Citation
Ali Maalaoui. Vittorio Martino. "Existence and multiplicity results for a non-homogeneous fourth order equation." Topol. Methods Nonlinear Anal. 40 (2) 273 - 300, 2012.
Information