The Pohozaev Identity for the Fractional Laplacian
نویسندگان
چکیده
منابع مشابه
The Pohozaev Identity for the Fractional Laplacian
In this paper we prove the Pohozaev identity for the semilinear Dirichlet problem (−∆)u = f(u) in Ω, u ≡ 0 in R\Ω. Here, s ∈ (0, 1), (−∆) is the fractional Laplacian in R, and Ω is a bounded C domain. To establish the identity we use, among other things, that if u is a bounded solution then u/δ|Ω is C up to the boundary ∂Ω, where δ(x) = dist(x, ∂Ω). In the fractional Pohozaev identity, the func...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2014
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-014-0740-2