Construction of a Radial Solution to a Superlinear Dirichlet Problem that Changes Sign Exactly Once

Document Type

Article

Department

Mathematics (HMC)

Publication Date

2005

Abstract

We provide a method for finding a radial solution to a superlinear Dirichlet problem in a ball that changes sign exactly once and implement it using mathematical software. As a by-product, we conclude that the least energy sign changing solution for that problem is nonradial, which has been proved using different methods in [1] and [2]

Rights Information

© 2005 Birkhauser Verlag

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