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arXiv · 0707.1790

A note on the radial solutions for the supercritical Henon equation

Vivina Barutello·Simone Secchi·Enrico Serra
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Abstract

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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Vivina Barutello, Simone Secchi, Enrico Serra. 2007-07-12. A note on the radial solutions for the supercritical Henon equation. https://doi.org/10.1016/j.jmaa.2007.10.052

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