Boundary blow-up elliptic problems with nonlinear gradient terms and singular weights
2008 ◽
Vol 138
(6)
◽
pp. 1403-1424
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Keyword(s):
Blow Up
◽
By Karamata regular variation theory, a perturbation method and construction of comparison functions, we show the exact asymptotic behaviour of solutions near the boundary to nonlinear elliptic problems Δu ± |Δu|q = b(x)g(u), u > 0 in Ω, u|∂Ω = ∞, where Ω is a bounded domain with smooth boundary in ℝN, q > 0, g ∈ C1[0, ∞) is increasing on [0, ∞), g(0) = 0, g′ is regularly varying at infinity with positive index ρ and b is non-negative in Ω and is singular on the boundary.
1996 ◽
Vol 28
(5-6)
◽
pp. 23-35
1997 ◽
Vol 76
(9)
◽
pp. 757-776
◽
1978 ◽
Vol 28
(2)
◽
pp. 220-245
◽
2006 ◽
Vol 343
(11-12)
◽
pp. 725-730
◽
Keyword(s):
Keyword(s):