Radially Symmetric Solutions of a Nonlinear Elliptic Equation

Figure 4

𝑁=3, 𝑝=2. Row 1: Solutions on the stable and unstable manifolds associated with (ℎ,ℎ^)≡(±1,0) and (ℎ,ℎ^)≡(0,0). Rows 2 and 3: ℎ components on 𝐴₁, 𝐴₂, 𝐵₁, 𝐵₂ and 𝑤 components along 𝐴₁ and 𝐵₁; 𝑤₀(𝑟) is bounded at 𝑟=0, 𝑤₁(𝑟)=2𝑟⁻² is the known singular solution; 𝑤₂(𝑟) is the new, positive singular solution corresponding to heteroclinic orbit 𝐵₁.

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