On the positive, “radial” solutions of a semilinear elliptic equation in N$\mathbb {H}^N$

We discuss various kinds of existence and non existence results for positive solutions of Emden–Fowler type equations in the hyperbolic space. The main tools are perturbation analysis, variational methods, Pohozeav type identities and reduction to Matukuma equations.

Bibliographic Details
Main Authors: Bandle Catherine, Kabeya Yoshitsugu
Format: Article
Language:English
Published: De Gruyter 2012-02-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/ana-2011-0004