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- W2965366552 abstract "Abstract In this paper, an attraction–repulsion chemotaxis system with p -Laplacian diffusion u t = ∇ ⋅ ( | ∇ u | p − 2 ∇ u ) − χ ∇ ⋅ ( u ∇ v ) + ξ ∇ ⋅ ( u ∇ w ) , x ∈ Ω , t > 0 , 0 = Δ v + α u − β v , x ∈ Ω , t > 0 , 0 = Δ w + γ u − δ w , x ∈ Ω , t > 0 , u ( x , 0 ) = u 0 ( x ) , x ∈ Ω is considered associated with homogeneous Neumann boundary conditions in a smooth bounded domain Ω ⊂ R n , n ≥ 2 . χ , ξ , α , β , γ , δ are positive parameters. Global bounded weak solution is constructed for any p > 1 under the following cases: ⋅ Case I: ξ γ − χ α > 0 with p > 1 ; ⋅ Case II: ξ γ − χ α ≤ 0 with p > 3 n n + 1 ; ⋅ Case III: ξ γ − χ α ≤ 0 with 1 p ≤ 3 n n + 1 and ‖ u 0 ‖ L ( 3 − p ) n p ( Ω ) is small." @default.
- W2965366552 created "2019-08-13" @default.
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- W2965366552 date "2020-02-01" @default.
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- W2965366552 title "Global boundedness of weak solution in an attraction–repulsion chemotaxis system with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e54 altimg=si22.svg><mml:mi>p</mml:mi></mml:math>-Laplacian diffusion" @default.
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- W2965366552 doi "https://doi.org/10.1016/j.nonrwa.2019.04.014" @default.
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