A note on the radial solutions for the supercritical Henon equation

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

References in corpus (1)

• Multiple Solutions for a Henon-Like Equation on the Annulus

Cited by in corpus (4)

• Increasing radial solutions for Neumann problems without growth restrictions
• A priori bounds and multiplicity of positive solutions for $p$-Laplacian Neumann problems with sub-critical growth
• On the structure of radial solutions for some quasilinear elliptic equations
• A new variational principle, convexity and supercritical Neumann problems