We construct an open set Omega subset of R-N on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete. The same example shows that the usual Lusternik-Schnirelmann minimax construction does not exhaust the whole spectrum of this eigenvalue problem.
A pathological example in nonlinear spectral theory
Brasco, Lorenzo
Primo
;Franzina, GiovanniUltimo
2019
Abstract
We construct an open set Omega subset of R-N on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete. The same example shows that the usual Lusternik-Schnirelmann minimax construction does not exhaust the whole spectrum of this eigenvalue problem.File in questo prodotto:
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