Existence and multiplicity results for a non-homogeneous fourth order equation
KeywordsCritical exponent, Paneitz-Branson operator
AbstractIn 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.
How to Cite
MAALAOUI, Ali & MARTINO, Vittorio. Existence and multiplicity results for a non-homogeneous fourth order equation. Topological Methods in Nonlinear Analysis [online]. 23 April 2012, T. 40, nr 2, s. 273–300. [accessed 29.1.2023].
Number of views and downloads: 0
Number of citations: 0