Symmetry results for cooperative elliptic systems in unbounded domains
نویسندگان
چکیده
منابع مشابه
Liouville type results for semilinear elliptic equations in unbounded domains
This paper is devoted to the study of some class of semilinear elliptic equations in the whole space: −aij(x)∂iju(x)− qi(x)∂iu(x) = f(x, u(x)), x ∈ R . The aim is to prove uniqueness of positive bounded solutions Liouville type theorems. Along the way, we establish also various existence results. We first derive a sufficient condition, directly expressed in terms of the coefficients of the line...
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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: Indiana University Mathematics Journal
سال: 2014
ISSN: 0022-2518
DOI: 10.1512/iumj.2014.63.5255