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.
Anane, Simplicit´ e et isolation de la premi` ere valeur propre dup−laplacien avec poids, C
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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.