Fučík spectrum in general: principal eigenvalues and inadmissible sets

Gabriela Holubová, Petr Nečesal

Abstract


In this paper, we study the Fučík spectrum of a linear operator in a general setting.
We illustrate the influence of various aspects on
the structure of the Fučík spectrum.
Mainly, we describe the inadmissible areas where the Fučík spectrum
of a given operator cannot be located.

Keywords


Fučík spectrum; asymmetric nonlinearities; non-selfadjoint operators; normal operators; cone orderings

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