Homological eigenvalues vs. full p‑Laplacian spectrum
Establish whether, for $p\in(1,\infty)$, the set of homological critical values of the Rayleigh quotient exhausts the entire p‑Laplacian spectrum; equivalently, prove that every p‑Laplacian eigenvalue is homological or exhibit non‑homological eigenvalues.
References
Do the homological eigenvalues exhaust the $p$-Laplacian spectrum for $p\in (1,\infty)$?
— Nonlinear spectral graph theory
(Deidda et al., 4 Apr 2025) in Subsection 3.2.5, Homological eigenvalues