Existence and asymptotic behavior of solutions for Henon equations in hyperbolic spaces

In this article, we consider the existence and asymptotic behavior of solutions for the Henon equation $$\displaylines{ -\Delta_{\mathbb{B}^N}u=(d(x))^{\alpha}|u|^{p-2}u, \quad x\in \Omega\cr u=0 \quad x\in \partial \Omega, }$$ where $\Delta_{\mathbb{B}^N}$ denotes the Laplace Beltrami...

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Bibliographic Details
Main Authors: Haiyang He, Wei Wang
Format: Article
Language:English
Published: Texas State University 2013-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/208/abstr.html