A note on the radial solutions for the supercritical Henon equation
arXiv:0707.1790 · doi:10.1016/j.jmaa.2007.10.052
Abstract
We prove the existence of a positive radial solution for the Hénon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable. Some numerical experiments suggest the existence of many positive oscillating solutions.
13 pages, 4 figures