Symmetry and concentration behavior of ground state in axially symmetric domains
Keyword(s):
We letΩ(r)be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground-state solutions of the semilinear elliptic equation inΩ(r)are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground-state solutions.
1999 ◽
Vol 240
(1)
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pp. 205-218
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2005 ◽
Vol 2005
(7)
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pp. 733-756
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2003 ◽
Vol 2003
(67)
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pp. 4217-4227
2017 ◽
Vol E100.A
(12)
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pp. 2764-2775
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