Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity

dc.contributor.authorAyazoglu, Rabil
dc.contributor.authorAkkoyunlu, Ebubekir
dc.contributor.authorNaghizadeh, Zohreh
dc.date.accessioned2024-10-04T18:50:59Z
dc.date.available2024-10-04T18:50:59Z
dc.date.issued2024
dc.departmentBayburt Üniversitesien_US
dc.description.abstractWe consider an initial boundary value problem for a class of anisotropic parabolic Ni-Serrin type equations with nonstandard nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. Because the nonlinear perturbation leads to difficulties (it does not have a definite sign) in obtaining a priori estimates in the energy method, we had to modify the Tartar method significantly. Under suitable assumptions, we obtain the global existence, decay and extinction of solutions.en_US
dc.identifier.doi10.1080/17476933.2024.2345666
dc.identifier.issn1747-6933
dc.identifier.issn1747-6941
dc.identifier.scopus2-s2.0-85191685877en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.urihttps://doi.org/10.1080/17476933.2024.2345666
dc.identifier.urihttp://hdl.handle.net/20.500.12403/3300
dc.identifier.wosWOS:001209185700001en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofComplex Variables and Elliptic Equationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnisotropic parabolic Ni-Serrin type equationsen_US
dc.subjectvariable exponentsen_US
dc.subjectglobal existenceen_US
dc.subjectextinction of solutionsen_US
dc.subjectdecay estimatesen_US
dc.titleExistence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearityen_US
dc.typeArticleen_US

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