Abstract
We continue to study the shape of the stable steady states of the so-called shadow limit of activator-inhibitor systems in two-dimensional domains u t = D u Δu+ f(u, ξ) in Ω x R + and τξ t =|Ω | ∫∫ Ω g(u,ξ)dxdy in R + , ∂ v u =0 on ∂Ω xR + , where f and g satisfy the following: gξ 0, then the shape of u is like a boundary one-spike layer even if D u is not small.
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