Singular solutions of semilinear elliptic equations with fractional Laplacian in entire space
2016 ◽
Vol 18
(01)
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pp. 1550024
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Keyword(s):
We consider the existence of positive singular solutions of the problem [Formula: see text] where [Formula: see text] and [Formula: see text]. We obtain the existence of positive singular solutions [Formula: see text] of this problem in space dimensions [Formula: see text] for the case [Formula: see text] under the condition [Formula: see text]. By the well-known Caffarelli–Silvestre extension result, the trace of [Formula: see text] is a positive singular solution for the following equation with a supercritical exponent [Formula: see text] where [Formula: see text] denotes the fractional Laplacian.
2018 ◽
Vol 17
(6)
◽
pp. 2547-2575
2017 ◽
Vol 108
(1)
◽
pp. 111-123
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2000 ◽
Vol 25
(9-10)
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pp. 1649-1668
1994 ◽
Vol 114
(1)
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pp. 57-76
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Keyword(s):
1987 ◽
Vol 99
(3)
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pp. 249-259
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Keyword(s):