Archivio Istituzionale della RicercaWe 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.
A note on the radial solutions for the supercritical Hénon equation / Barutello, V; Secchi, S; Serra, Enrico. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 341:(2008), pp. 720-728.
A note on the radial solutions for the supercritical Hénon equation
SERRA, Enrico
2008
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.
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