2026-10-30T03:26:25Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/127822026-10-29T19:42:48Zopenairedrivercom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10218

Existence of solutions for anisotropic parabolic Ni-Serrin type equations originated from a capillary phenomena with nonstandard growth nonlinearityAyazoglu, RabilAkkoyunlu, EbubekirNaghizadeh, ZohrehAnisotropic parabolic Ni-Serrin type equationsdecay estimatesextinction of solutionsglobal existencevariable exponentsWe 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.Taylor and Francis Ltd.2025Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/12782https://doi.org/10.1080/17476933.2024.23456661747-6933enComplex Variables and Elliptic Equationsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/12782