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Electrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques

MakaleAçık ErişimScopus SJRQ1

Özet

This article deals with a quasilinear elliptic equation with variable exponent under a homogenous Dirichlet boundary-value condition, where nonlinearity also depends on the gradient of the solution. By using an iterative method based on Mountain Pass techniques, the existence of a positive solution is obtained.

Anahtar Kelimeler

Iteration methodsMountain Pass theoremp(x)-Laplacianvariable exponent Sobolev spaces
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ScopusScopusWeb of ScienceWeb of Science
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Scopus
11
WoS
10
OpenAlex
13
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Tam Kayıt
AlanDeğerDil
dc.contributor.authorMashiyev, R. Ayazoglu
dc.contributor.authorEkincioglu, Ismail
dc.date.accessioned2026-10-29T19:11:36.367175202Z
dc.date.available2026-10-29T19:11:36.367175202Z
dc.date.issued2016
dc.description.abstractThis article deals with a quasilinear elliptic equation with variable exponent under a homogenous Dirichlet boundary-value condition, where nonlinearity also depends on the gradient of the solution. By using an iterative method based on Mountain Pass techniques, the existence of a positive solution is obtained.
dc.description.sponsorshipBAP, Bayburt University, Turkey [2016/01-03]
dc.identifier.doi10.1080/01630563.2016.1205088
dc.identifier.eissn1532-2467
dc.identifier.endpage1157
dc.identifier.issn0163-0563
dc.identifier.issue9
dc.identifier.scopus2-s2.0-84986903110
dc.identifier.startpage1144
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/bayburt/13896
dc.identifier.volume37
dc.identifier.wosWOS:000382951000006
dc.language.isoen
dc.publisherTaylor and Francis Inc.
dc.relation.ispartofNumerical Functional Analysis and Optimization
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectIteration methods
dc.subjectMountain Pass theorem
dc.subjectp(x)-Laplacian
dc.subjectvariable exponent Sobolev spaces
dc.subject.classificationMathematics, Applied
dc.subject.classificationMathematics
dc.subject.otherControl nonlinearities
dc.subject.otherElectrorheological fluids
dc.subject.otherLandforms
dc.subject.otherLinear equations
dc.subject.otherSobolev spaces
dc.subject.otherDirichlet boundary
dc.subject.otherIteration method
dc.subject.otherMountain pass theorem
dc.subject.otherP (x)-Laplacian
dc.subject.otherPositive solution
dc.subject.otherQuasilinear elliptic equations
dc.subject.otherVariable exponent Sobolev space
dc.subject.otherVariable exponents
dc.subject.otherIterative methods
dc.titleElectrorheological Fluids Equations Involving Variable Exponent with Dependence on the Gradient via Mountain Pass Techniques
dc.typeArticle
rdl.citation.openalex13
rdl.citation.scopus11
rdl.citation.wos10
rdl.oa.statusclosed
rdl.oa.statusgreen
rdl.oa.urlhttps://hdl.handle.net/20.500.12403/591
rdl.scopus.quartileQ1
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)