GLOBAL WEAK SOLUTIONS FOR AN ATTRACTION-REPULSION CHEMOTAXIS SYSTEM WITH p-LAPLACIAN DIFFUSION AND LOGISTIC SOURCE  

作　　者：王晓闪 王忠谦 贾哲 Xiaoshan WANG;Zhongqian WANG;Zhe JIA(Department of Mathematics,Luoyang Normal University,Luoyang,471934,China;School of Mathematics Science,Jiangsu Second Normal University,Nanjing,210013,China;School of Mathematics and Statistics,Linyi University,Linyi,276005,China)

机构地区：[1]Department of Mathematics,Luoyang Normal University,Luoyang,471934,China [2]School of Mathematics Science,Jiangsu Second Normal University,Nanjing,210013,China [3]School of Mathematics and Statistics,Linyi University,Linyi,276005,China

出　　处：《Acta Mathematica Scientia》2024年第3期909-924,共16页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(12301251,12271232);the Natural Science Foundation of Shandong Province,China(ZR2021QA038);the Scientific Research Foundation of Linyi University,China(LYDX2020BS014)。

摘　　要：This paper is concerned with the following attraction-repulsion chemotaxis system with p-Laplacian diffusion and logistic source:■The system here is under a homogenous Neumann boundary condition in a bounded domainΩ ■ R^(n)(n≥2),with χ,ξ,α,β,γ,δ,k_(1),k_(2)> 0,p> 2.In addition,the function f is smooth and satisfies that f(s)≤κ-μs~l for all s≥0,with κ ∈ R,μ> 0,l> 1.It is shown that(ⅰ)if l> max{2k_(1),(2k_(1)n)/(2+n)+1/(p-1)},then system possesses a global bounded weak solution and(ⅱ)if k_(2)> max{2k_(1)-1,(2k_(1)n)/(2+n)+(2-p)/(p-1)} with l> 2,then system possesses a global bounded weak solution.

关 键 词：global weak solutions attraction-repulsion P-LAPLACIAN logistic source 

分 类 号：Q-332[生物学] O175[理学—数学]