Existence of solutions for a resonant problem under landesman-lazer type conditions involving more general elliptic operators in divergence form

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dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorŞule Şener, Sidika
dc.contributor.authorAydın, Tuba Ağırman
dc.date.accessioned2024-10-04T18:58:40Z
dc.date.available2024-10-04T18:58:40Z
dc.date.issued2020
dc.departmentBayburt Üniversitesien_US
dc.description.abstractThe present paper is concerned with the resonant problem ?div (a (x, ?u)) = ?1|u|p ?2 u + f (x, u) ? g(x) in ?, where ? is a bounded domain with smooth boundary in RN (N ? 2), p ? (1, ?) and div(a (x, ?u)) is a general elliptic operators in divergence form. By assuming a Landesman-Lazer type condition and using a variational method based on the Minimum Principle, we show the existence of a weak solution in the Sobolev space W0 1,p (?). © 2020, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.en_US
dc.identifier.endpage65en_US
dc.identifier.issn2306-2193
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85084567133en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage52en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3968
dc.identifier.volume40en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijanen_US
dc.relation.ispartofTransactions Issue Mathematics, Azerbaijan National Academy of Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElliptic operatorsen_US
dc.subjectLandesman-Lazer type conditionsen_US
dc.subjectMinimum Principleen_US
dc.subjectP-Laplacian type operatoren_US
dc.subjectResonanceen_US
dc.titleExistence of solutions for a resonant problem under landesman-lazer type conditions involving more general elliptic operators in divergence formen_US
dc.typeArticleen_US

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