On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential | Zendy

Qing-Mei Zhou | Zendy; Keqi Wang | Zendy

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On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential

Author(s) -

Qing-Mei Zhou,

Keqi Wang

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.58

Subject(s) - mathematics , eigenvalues and eigenvectors , spectrum (functional analysis) , nonlinear system , order (exchange) , exponent , variable (mathematics) , mathematical analysis , pure mathematics , physics , quantum mechanics , linguistics , philosophy , finance , economics

The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential. The main result of this paper establishes the existence of two positive constants λ0 and λ1 with λ0 ≤ λ1 such that every λ ∈ [λ1,+∞) is an eigenvalue, while λ ∈ (−∞, λ0) cannot be an eigenvalue of the above problem.

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