A variational essential spectrum is defined for the p-Laplacian with Persson's theorem extended to characterize its bottom geometrically using the L^p Poincaré constant at infinity.
Bobkov, Non-Ljusternik–Schnirelman eigenvalues of the purep−Laplacian exist, preprint (2026), https://arxiv.org/abs/2604.011388, 19, 28
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Essential spectrum for the $p-$Laplacian
A variational essential spectrum is defined for the p-Laplacian with Persson's theorem extended to characterize its bottom geometrically using the L^p Poincaré constant at infinity.