Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity
dc.contributor.author | Ayazoglu, Rabil | |
dc.contributor.author | Akkoyunlu, Ebubekir | |
dc.contributor.author | Naghizadeh, Zohreh | |
dc.date.accessioned | 2024-10-04T18:50:59Z | |
dc.date.available | 2024-10-04T18:50:59Z | |
dc.date.issued | 2024 | |
dc.department | Bayburt Üniversitesi | en_US |
dc.description.abstract | We 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.doi | 10.1080/17476933.2024.2345666 | |
dc.identifier.issn | 1747-6933 | |
dc.identifier.issn | 1747-6941 | |
dc.identifier.scopus | 2-s2.0-85191685877 | en_US |
dc.identifier.scopusquality | Q2 | en_US |
dc.identifier.uri | https://doi.org/10.1080/17476933.2024.2345666 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12403/3300 | |
dc.identifier.wos | WOS:001209185700001 | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis Ltd | en_US |
dc.relation.ispartof | Complex Variables and Elliptic Equations | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Anisotropic parabolic Ni-Serrin type equations | en_US |
dc.subject | variable exponents | en_US |
dc.subject | global existence | en_US |
dc.subject | extinction of solutions | en_US |
dc.subject | decay estimates | en_US |
dc.title | Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearity | en_US |
dc.type | Article | en_US |