Spectrum in an unbounded interval for a class of nonhomogeneous differential operators | Zendy

Mihăilescu Mihai | Zendy; Rădulescu Vicenţiu | Zendy

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Spectrum in an unbounded interval for a class of nonhomogeneous differential operators

Author(s) -

Mihăilescu Mihai,

Rădulescu Vicenţiu

Publication year - 2008

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bdn079

Subject(s) - mathematics , spectrum (functional analysis) , class (philosophy) , interval (graph theory) , pure mathematics , differential operator , differential (mechanical device) , mathematical analysis , combinatorics , epistemology , physics , quantum mechanics , philosophy , engineering , aerospace engineering

The present paper deals with the spectrum of a nonhomogeneous problem involving variable exponents on an exterior domain in ℝ N . The existence of two positive real numbers λ 0 and λ 1 , is established satisfying the condition λ 0 ⩽λ 1 , such that the problem has no eigenvalue in the interval (0, λ 0 ) while any number in the interval [λ 1 , ∞) is an eigenvalue.

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