We prove the existence of a positive radial solution for the Henon 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.

Barutello, V., Secchi, S., Serra, E. (2008). A note on the radial solutions for the supercritical Hénon equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 341(1), 720-728 [10.1016/j.jmaa.2007.10.052].

A note on the radial solutions for the supercritical Hénon equation

SECCHI, SIMONE;
2008

Abstract

We prove the existence of a positive radial solution for the Henon 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.
Articolo in rivista - Articolo scientifico
Henon equation
English
2008
341
1
720
728
none
Barutello, V., Secchi, S., Serra, E. (2008). A note on the radial solutions for the supercritical Hénon equation. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 341(1), 720-728 [10.1016/j.jmaa.2007.10.052].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/7612
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