New properties of the Fučík spectrum

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Abstract

In this Note we present some results on the Fučík spectrum for the Laplace operator, that give new information on its structure. In particular, these results show that, if Ω is a bounded domain of R^N with N>1, then the Fučík spectrum has infinitely many curves asymptotic to the lines {λ_1}×R and R×{λ_1}, where λ_1 denotes the first eigenvalue of the operator -Delta in H_0^1(Ω). Notice that the situation is quite different in the case N=1; in fact, in this case, the Fučík spectrum may be obtained by direct computation and one can verify that it includes only two curves asymptotic to these lines. The method we use for the proof is completely variational.

Autore Pugliese

Tutti gli autori

  • R. Molle , D. Passaseo

Titolo volume/Rivista

COMPTES RENDUS MATHEMATIQUE

Anno di pubblicazione

2013

ISSN

1631-073X

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

3

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile