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.
Existence and multiplicity results for a non-homogeneous fourth order equation / Ali Maalaoui; Vittorio Martino. - In: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. - ISSN 1230-3429. - STAMPA. - 40:(2012), pp. 273-300.
Existence and multiplicity results for a non-homogeneous fourth order equation
MARTINO, VITTORIO
2012
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.File in questo prodotto:
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