On Delaunay solutions of a biharmonic elliptic equation with critical exponent
نویسندگان
چکیده
منابع مشابه
On Delaunay Solutions of a Biharmonic Elliptic Equation with Critical Exponent
We are interested in the qualitative properties of positive entire solutions u ∈ C(R\{0}) of the equation (0.1) ∆u = u n+4 n−4 in R\{0} and 0 is a non-removable singularity of u(x). It is known from [Theorem 4.2, [12]] that any positive entire solution u of (0.1) is radially symmetric with respect to x = 0, i.e. u(x) = u(|x|), and equation (0.1) also admits a special positive entire solution us...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2020
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-020-0096-5