Symmetry of ground states for a semilinear elliptic system
نویسندگان
چکیده
منابع مشابه
Symmetry Breaking for a Class of Semilinear Elliptic Problems
We study positive solutions of the Dirichlet problem for —Ají = up — A, p > 1, A > 0, on the unit ball 0. We show that there exists a positive solution (uo, Ao) of this problem which satisfies in addition duo/dn = 0 on âfî. We prove also that at (uo,Ao), the symmetry breaks, i.e. asymmetric solutions bifurcate from the positive radial solutions.
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where n ≥ 1, N ≥ 2 are arbitrary integers. In the case of a bounded domain, related results for autonomous systems were established by Troy [17] (see also de Figueiredo [4], Shaker [16]). Under additional hypotheses on the asymptotic behaviour of the solutions at infinity, in the spirit of Gidas, Ni and Nirenberg [11], a symmetry result in IR was obtained by Shaker. We remark that the case of a...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1999
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-99-02526-x