Bubble towers for supercritical semilinear elliptic equations
نویسندگان
چکیده
منابع مشابه
Bubble towers for supercritical semilinear elliptic equations
Abstract : We construct positive solutions of the semilinear elliptic problem ∆u + λu + up = 0 with Dirichet boundary conditions, in a bounded smooth domain Ω ⊂ RN (N ≥ 4), when the exponent p is supercritical and close enough to N+2 N−2 and the parameter λ ∈ R is small enough. As p → N+2 N−2 , the solutions have multiple blow up at finitely many points which are the critical points of a functi...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2005
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2004.09.011