Solutions of an elliptic system with a nearly critical exponent
نویسندگان
چکیده
منابع مشابه
Solutions of an Elliptic System with a Nearly Critical Exponent
This problem has positive solutions for ǫ > 0 (with pqǫ > 1) and no non-trivial solution for ǫ ≤ 0. We study the asymptotic behaviour of least energy solutions as ǫ → 0. These solutions are shown to blow-up at exactly one point, and the location of this point is characterized. In addition, the shape and exact rates for blowing up are given. Résumé. Considéré le problème −∆uǫ = v p ǫ vǫ > 0 en Ω...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2008
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2006.11.008