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General Uniqueness results and Variation Speed for Blow-up Solutions of Elliptic Equations |
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Wiley-Blackwell Publishing Ltd |
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DOI |
10.1112/S0024611505015273 |
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Abstract |
Let Ω ⊂ ℝN (N ≥ 2) be a smooth bounded domain. We are interested in the uniqueness and asymptotic behavior of the blow-up solutions to the equation -Δu=au-b(x)f(u)in Ω (1) where f∈C[0, ∞ ) is locally Lipschitz, a ∈ ℝ is a parameter and b ∈C⁰... (0 < μ < 1) is positive in Ω and non-negative on ∂Ω. |
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Proceedings of the London Mathematical Society, 91(3), p. 459-482 |
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