Variational methods for singular Liouville 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: Rendiconti Lincei - Matematica e Applicazioni
سال: 2010
ISSN: 1120-6330
DOI: 10.4171/rlm/577