A Lane–Emden system with singular data
2011 ◽
Vol 141
(6)
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pp. 1279-1294
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Keyword(s):
We study the elliptic system −Δu = δ(x)−avp in Ω, −Δv = δ(x)−buq in Ω, subject to homogeneous Dirichlet boundary conditions. Here, Ω ⊂ ℝN, N ≥ 1, is a smooth and bounded domain, δ(x) = dist(x, ∂Ω), a, b ≥ 0 and p, q ∈ ℝ satisfy pq > −1. The existence, non-existence and uniqueness of solutions are investigated in terms of a, b, p and q.
2011 ◽
Vol 55
(1)
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pp. 155-166
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2014 ◽
Vol 95
(2)
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2013 ◽
Vol 398
(2)
◽
pp. 527-533
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2004 ◽
Vol 134
(1)
◽
pp. 69-87
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2009 ◽
Vol 11
(01)
◽
pp. 59-69
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