Accepted Paper
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Inserted: 24 feb 2017
Last Updated: 11 nov 2026

Journal: Adv. Nonlinear Anal.
Pages: 9
Year: 2017
Notes:

We construct an open set $\Omega\subset\mathbb{R}^N$ on which an eigenvalue problem for the $p-$Laplacian has not 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.

Keywords: p-Laplacian, Nonlinear eigenvalue problems, Lusternik-Schnirelmann theory

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