Electron. J. Differential Equations, Vol. 2018 (2018), No. 199, pp. 1-22.

On the second eigenvalue of nonlinear eigenvalue problems

Marco Degiovanni, Marco Marzocchi

Abstract:
This article is devoted to the characterization of the second eigenvalue of nonlinear eigenvalue problems. We propose an abstract approach which allows to treat nonsmooth quasilinear problems and also to recover, in a unified way, previous results concerning the p-Laplacian.

Submitted December 7, 2018. Published December 14, 2018.
Math Subject Classifications: 58E05, 35J66.
Key Words: Nonlinear eigenvalue problems; variational methods; quasilinear elliptic equations.

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Marco Degiovanni
Dipartimento di Matematica e Fisica
Università Cattolica del Sacro Cuore
Via dei Musei 41
25121 Brescia, Italy
email: marco.degiovanni@unicatt.it
Marco Marzocchi
Dipartimento di Matematica e Fisica
Università Cattolica del Sacro Cuore
Via dei Musei 41
25121 Brescia, Italy
email: marco.marzocchi@unicatt.it

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