For a degenerate autonomous Kirchhoff equation which is set on RN and involves the Berestycki-Lions type nonlinearity, we cope with the cases N=2,3 and N≥5 by using mountain pass and symmetric mountain pass approaches and by using Clark theorem respectively.
Cite
@article{arxiv.1708.02168,
title = {Variational methods for degenerate Kirchhoff equations},
author = {Sheng-Sen Lu},
journal= {arXiv preprint arXiv:1708.02168},
year = {2017}
}