2026-10-29T23:52:17Zhttps://bayburt-rdlopen.rawdatalibrary.net/oai/request

oai:bayburt-rdlopen.rawdatalibrary.net:bayburt/111642026-10-29T19:35:41Zopenairecom_bayburt_10000col_bayburt_10001com_bayburt_10007col_bayburt_10218

An attraction–repulsion chemotaxis with logistic source involving the exponents depending on the spatial variablesAyazoglu, Rabil35K2035K5535K5992C17Attraction–repulsionChemotaxis systemGlobal boundednessLogistic source involving the exponents depending on the spatial variablesWe study the quasilinear attraction–repulsion chemotaxis system of parabolic–elliptic type with logistic source involving the exponents depending on the spatial variables: ut=Δu-χ∇·uu+1r-1∇υ+ξ∇·uu+1r-1∇ω+au-bum(x), 0=Δυ-βυ+αu, 0=Δω-δω+γu, where α, β, δ, γ, χ, ξ, b>0, a≥0, r∈R and m:Ω→1,∞ is a measurable function, subject to the homogeneous Neumann boundary conditions in a bounded domain RNN≥1 with smooth boundary. We prove that this system possesses a unique global bounded classical solution, which is an extension of known results, if the repulsion cancels the attraction in the sense that (balance) χα=ξγ with essinfx∈Ωmx>r+N-2+N,1, and if the attraction prevails over the repulsion in the sense that χα>ξγ with essinfx∈Ωmx>maxr+1,1, and if the repulsion prevails over the attraction in the sense that χα<ξγ.Birkhauser2025Articlehttps://rdlopen.rawdatalibrary.net/r/bayburt/11164https://doi.org/10.1007/s00033-024-02394-60044-2275enZeitschrift fur Angewandte Mathematik und Physikinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://bayburt-rdlopen.rawdatalibrary.net/tr/items/bayburt/11164