SYMMETRY BREAKING FOR GROUND-STATE SOLUTIONS OF HÉNON SYSTEMS IN A BALL
2010 ◽
Vol 53
(2)
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pp. 245-255
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Keyword(s):
AbstractWe consider in this paper the problem (1) where Ω is the unit ball in ℝN centred at the origin, 0 ≤ α < pN,β > 0, N ≥ 3. Suppose qϵ → q as ϵ → 0+ and qϵ, q satisfy, respectively, we investigate the asymptotic estimates of the ground-state solutions (uϵ, vϵ) of (1) as β → + ∞ with p, qϵ fixed. We also show the symmetry-breaking phenomenon with α, β fixed and qϵ → q as ϵ → 0+. In addition, the ground-state solution is non-radial provided that ϵ > 0 is small or β is large enough.
2012 ◽
Vol 142
(4)
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pp. 867-895
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2013 ◽
Vol 88
(1)
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pp. 1-11
Keyword(s):
2018 ◽
Vol 9
(1)
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pp. 108-123
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2016 ◽
Vol 146
(2)
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pp. 371-391
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Keyword(s):