A note on the radial solutions for the supercritical Henon equation

Details A note on the radial solutions for the supercritical Henon equation A note on the radial solutions for the supercritical Henon equation

2007-07-12

arxiv.org/abs/0707.1790v1

Mathematics

Analysis of PDEs

13 pages, 4 figures

Scientific paper

We prove the existence of a positive radial solution for the H\'enon 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.

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