par Bonheure, Denis ;Casteras, Jean-Baptiste ;Gladiali, Francesca
Référence Journal of differential equations, 296, page (759-798)
Publication Publié, 2021-09-01
Article révisé par les pairs
Résumé : In this paper, we prove existence of multiple non-radial solutions to the Hardy-Sobolev equation [Formula presented] where N≥3, s∈[0,2), [Formula presented] and [Formula presented]. We extend results of E.N. Dancer, F. Gladiali, M. Grossi (2017) [12] where only the case s=0 is considered. The results specially rely on a careful analysis of the kernel of the linearized operator. Moreover, thanks to monotonicity properties of the solutions, we separate two branches of non-radial solutions.