Geodesic
SYMMETRY BREAKING FOR GROUND-STATE SOLUTIONS OF HÉNON SYSTEMS IN A BALL
Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 245-255

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DOI

We 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.
DOI : 10.1017/S0017089510000662
Mots-clés : 35J50, 35J60 
HE, HAIYANG. SYMMETRY BREAKING FOR GROUND-STATE SOLUTIONS OF HÉNON SYSTEMS IN A BALL. Glasgow mathematical journal, Tome 53 (2011) no. 2, pp. 245-255. doi: 10.1017/S0017089510000662
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     author = {HE, HAIYANG},
     title = {SYMMETRY {BREAKING} {FOR} {GROUND-STATE} {SOLUTIONS} {OF} {H\'ENON} {SYSTEMS} {IN} {A} {BALL}},
     journal = {Glasgow mathematical journal},
     pages = {245--255},
     year = {2011},
     volume = {53},
     number = {2},
     doi = {10.1017/S0017089510000662},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000662/}
}
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