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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.