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Existence of solutions for an elliptic equation with nonstandard growth

MakaleAçık ErişimScopus SJRQ3

Özet

This paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.

Anahtar Kelimeler

Ekeland variational principleMountain pass theoremP(x)-Laplace operatorVariable exponent Sobolev spacesVariational method
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/bayburt/12457Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.12732/ijpam.v86i1.10Yayıncı resmi DOI adresi
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Atıflar
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2
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2
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorAvci, M.
dc.contributor.authorMashiyev, R. Ayazoglu
dc.contributor.authorCekic, B.
dc.date.accessioned2026-10-29T19:09:36.531665579Z
dc.date.available2026-10-29T19:09:36.531665579Z
dc.date.issued2013
dc.description.abstractThis paper deals with the existence of solutions for some elliptic equations with nonstandard growth under zero Dirichlet boundary condition. Using a direct variational method and the theory of the variable exponent Sobolev spaces, we set some conditions that ensures the existence of nontrivial weak solutions.
dc.identifier.doi10.12732/ijpam.v86i1.10
dc.identifier.endpage139
dc.identifier.issn1314-3395
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84880286212
dc.identifier.startpage131
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/12457
dc.identifier.volume86
dc.language.isoen
dc.relation.ispartofInternational Journal of Pure and Applied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEkeland variational principle
dc.subjectMountain pass theorem
dc.subjectP(x)-Laplace operator
dc.subjectVariable exponent Sobolev spaces
dc.subjectVariational method
dc.titleExistence of solutions for an elliptic equation with nonstandard growth
dc.typeArticle
rdl.citation.openalex2
rdl.citation.scopus2
rdl.oa.statusbronze
rdl.oa.urlhttps://ijpam.eu/contents/2013-86-1/10/10.pdf
rdl.scopus.quartileQ3
rdl.source.indexSCOPUS