Singular limits in higher order Liouville-type equations
نویسندگان
چکیده
منابع مشابه
Singular Limits in Liouville-type Equations
We consider the boundary value problem ∆u+ε k(x) e = 0 in a bounded, smooth domain Ω in R with homogeneous Dirichlet boundary conditions. Here ε > 0, k(x) is a non-negative, not identically zero function. We find conditions under which there exists a solution uε which blows up at exactly m points as ε→ 0 and satisfies ε ∫ Ω keε → 8mπ. In particular, we find that if k ∈ C(Ω̄), infΩ k > 0 and Ω is...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2015
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-015-0335-0