Weighted Sobolev Space and Hyperbolic Laplacian Equations I

Fei Fang, Zhong Tan, Huiru Xiong

In this paper, the following problem in the hyperbolic space ${\mathbb{B}}^N$ will be considered \begin{equation*} -Δ_{\mathbb{B}^N} u=f(x,u), \mathrm{in} \ \mathbb{B}^N.\eqno{(1)} \…