Non-autonomous Eigenvalue Problems with Variable (p1,p2)-Growth

Autor:	Baraket Sami, Chebbi Souhail, Chorfi Nejmeddine, Rădulescu Vicenţiu D.
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	non-autonomous eigenvalue problem continuous spectrum non-homogeneous differential operator variable exponent 35p30 49r05 58c40 Mathematics QA1-939
Zdroj:	Advanced Nonlinear Studies, Vol 17, Iss 4, Pp 781-792 (2017)
Druh dokumentu:	article
ISSN:	1536-1365 2169-0375
DOI:	10.1515/ans-2016-6020
Popis:	We are concerned with the study of a class of non-autonomous eigenvalue problems driven by two non-homogeneous differential operators with variable (p1,p2){(p_{1},p_{2})}-growth. The main result of this paper establishes the existence of a continuous spectrum consisting in an unbounded interval and the nonexistence of eigenvalues in a neighbourhood of the origin. The abstract results of this paper are described by two Rayleigh-type quotients and the proofs rely on variational arguments.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a9cb1f08f2b044cd9524d9e209c7e90a Zobrazit plný text záznamu View record in DOAJ