Locating the Peaks of Semilinear Elliptic Systems
نویسندگان
چکیده
منابع مشابه
Locating the peaks of semilinear elliptic systems
We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function Σ as well as representation formulas for the left and the right derivatives. Then, we show that the concentration points of the solutions locate close to the critical points of Σ in the sense of subdifferential calcul...
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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: Advanced Nonlinear Studies
سال: 2005
ISSN: 2169-0375,1536-1365
DOI: 10.1515/ans-2005-0401