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

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
Jorge Cossio, Universidad Nacional de Colombia

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

DOI

10.1007/3-7643-7401-2_10

Recommended Citation

Castro, Alfonso and Cossio, Jorge, "Construction of a Radial Solution to a Superlinear Dirichlet Problem that Changes Sign Exactly Once" (2005). All HMC Faculty Publications and Research. 485.
https://scholarship.claremont.edu/hmc_fac_pub/485