Radial solutions of a semilinear elliptic problem
1991 ◽
Vol 118
(3-4)
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pp. 305-326
Keyword(s):
SynopsisWe analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equationwhere 0 < p < 1, and is a radial and almost everywhere nonnegative function. We show that radial solutions of (E) exist if f(r) = o(r2p/1−1−p) or if f(r) ≈ cr2p/1−p as r → ∞, whereWhen f(r) = c*r2p/1−p + h(r) with h(r) = o(r2p/1−p) as r → ∞, radial solutions continue to exist if h(r) is sufficiently small at infinity. Existence, however, breaks down if h(r) > 0,Whenever they exist, radial solutions are characterised in terms of their asymptotic behaviour as r → ∞.
2005 ◽
Vol 135
(1)
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pp. 25-37
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1998 ◽
Vol 128
(6)
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pp. 1389-1401
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2007 ◽
Vol 239
(1)
◽
pp. 1-15
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Keyword(s):
2011 ◽
Vol 141
(1)
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pp. 127-154
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1993 ◽
Vol 124
(3)
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pp. 261-276
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1992 ◽
Vol 121
(1-2)
◽
pp. 139-148
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Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
2002 ◽
Vol 18
(3)
◽
pp. 261-279
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2012 ◽
Vol 14
(03)
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pp. 1250021
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2017 ◽
Vol 147
(6)
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pp. 1215-1232