A note on the radial solutions for the supercritical Henon equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:341

Article

Barutello, Vivina¹  Secchi, Simone¹  Serra, Enrico² 

[1] Univ Milan, Dipartimento Matemat & Applicaz, Via R Cozzi 53, I-20125 Milan, Italy

[2] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

关键词: Henon equation;    Neumann problem;    supercritical nonlinearity;    radial solutions;   

DOI  :  10.1016/j.jmaa.2007.10.052

来源: Elsevier

【 摘 要 】

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. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free