Variational methods for degenerate Kirchhoff equations

Abstract

For a degenerate autonomous Kirchhoff equation which is set on ${\mathbb{R}}^N$ and involves the Berestycki-Lions type nonlinearity, we cope with the cases $N=2,3$ and $N\ge 5$ by using mountain pass and symmetric mountain pass approaches and by using Clark theorem respectively.

28 pages, no figures