Multiplicity results for \(p\)-sublinear \(p\)-Laplacian problems involving indefinite eigenvalue problems via Morse theory. (English) Zbl 1189.35115
Summary: We establish some multiplicity results for a class of \(p\)-sublinear \(p\)-Laplacian problems involving indefinite eigenvalue problems using Morse theory.
MSC:
| 35J62 | Quasilinear elliptic equations |
| 35J20 | Variational methods for second-order elliptic equations |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
| 35P05 | General topics in linear spectral theory for PDEs |
| 35J92 | Quasilinear elliptic equations with \(p\)-Laplacian |
