Existence and non-existence results for semilinear elliptic problems in unbounded domains
1982 ◽
Vol 93
(1-2)
◽
pp. 1-14
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Keyword(s):
SynopsisIn this paper, we prove various existence and non-existence results for semilinear elliptic problems in unbounded domains. In particular we prove for general classes of unbounded domains that there exists no solution distinct from 0 offor any smooth f satisfying f(0) = 0. This result is obtained by the use of new identities that solutions of semilinear elliptic equations satisfy.
2002 ◽
Vol 132
(1)
◽
pp. 1-24
◽
2007 ◽
Vol 24
(1)
◽
pp. 41-60
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Keyword(s):
1996 ◽
Vol 126
(2)
◽
pp. 443-463
◽
1981 ◽
Vol 12
(1)
◽
pp. 9-19
◽
Keyword(s):
2011 ◽
Vol 251
(3)
◽
pp. 609-629
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