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- W2068756422 abstract "By constructing the comparison functions and the perturbed method, it is showed that any solution u ∈ C 2 ( Ω ) to the semilinear elliptic problems Δ u = k ( x ) g ( u ) , x ∈ Ω , u | ∂ Ω = + ∞ satisfies lim d ( x ) → 0 u ( x ) Z ( d μ ( x ) ) = [ ( 2 + σ ) ( 2 + ρ + σ ) 2 c 0 ( 2 + ρ ) ] 1 / ρ , where Ω is a bounded domain with smooth boundary in R N ; lim d ( x ) → 0 k ( x ) d σ ( x ) = c 0 , − 2 < σ , c 0 > 0 , μ = 2 + σ 2 ; g ∈ C 1 [ 0 , ∞ ) , g ⩾ 0 and g ( s ) s is increasing on ( 0 , ∞ ) , there exists ρ > 0 such that lim s → ∞ g ′ ( s ξ ) g ′ ( s ) = ξ ρ , ∀ ξ > 0 , ∫ Z ( s ) ∞ d t 2 G ( t ) = s , G ( t ) = ∫ 0 t g ( s ) d s ." @default.
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- W2068756422 date "2005-08-01" @default.
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- W2068756422 title "The asymptotic behaviour of solutions with blow-up at the boundary for semilinear elliptic problems" @default.
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- W2068756422 doi "https://doi.org/10.1016/j.jmaa.2004.11.029" @default.
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