Bubbling solutions for an anisotropic Emden–Fowler equation
نویسندگان
چکیده
منابع مشابه
Bubbling Solutions for an Anisotropic Emden-Fowler Equation
We consider the following anisotropic Emden-Fowler equation ∇(a(x)∇u) + εa(x)e = 0 in Ω, u = 0 on ∂Ω where Ω ⊂ R is a bounded smooth domain and a(x) is a positive smooth function. We investigate the effect of anisotropic coefficient a(x) on the existence of bubbling solutions. We show that at given local maximum points of a(x), there exists arbitrarily many bubbles. As a consequence, the quanti...
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We consider the following anisotropic Emden-Fowler equation ∇(a(x)∇u) + εa(x)e = 0 in Ω, u = 0 on ∂Ω, where Ω ⊂ R is a smooth bounded domain and a is a positive smooth function. We study here the phenomenon of boundary bubbling solutions which do not exist for the isotropic case a ≡ constant. We determine the localization and asymptotic behavior of the boundary bubbles, and construct some bound...
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Article history: Received 15 May 2014 Available online 10 November 2014 MSC: 35B10 35B33 35J08 58J05
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2006
ISSN: 1631-073X
DOI: 10.1016/j.crma.2006.05.017