Optimal global asymptotic behaviour of the solution to a class of singular Dirichlet problems
Keyword(s):
Blow Up
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This paper is mainly concerned with the global asymptotic behaviour of the unique solution to a class of singular Dirichlet problems − Δu = b(x)g(u), u > 0, x ∈ Ω, u|∂Ω = 0, where Ω is a bounded smooth domain in ℝ n , g ∈ C1(0, ∞) is positive and decreasing in (0, ∞) with $\lim _{s\rightarrow 0^+}g(s)=\infty$ , b ∈ Cα(Ω) for some α ∈ (0, 1), which is positive in Ω, but may vanish or blow up on the boundary properly. Moreover, we reveal the asymptotic behaviour of such a solution when the parameters on b tend to the corresponding critical values.
2011 ◽
Vol 141
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pp. 537-549
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2002 ◽
Vol 04
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pp. 409-434
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2003 ◽
Vol 133
(2)
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pp. 363-392
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2018 ◽
Vol 2019
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pp. 5953-5974
2003 ◽
Vol 133
(2)
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pp. 225-235
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Keyword(s):
1976 ◽
Vol 82
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pp. 74-77
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