Infinitely Many Nonradial Solutions to a Superlinear Dirichlet Problem

Authors

Hugo Aduén, Universidad de Cordoba - Colombia
Alfonso Castro, Harvey Mudd CollegeFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

9-2002

Abstract

In this article we provide sufficient conditions for a superlinear Dirichlet problem to have infinitely many nonradial solutions. Our hypotheses do not require the nonlinearity to be an odd function. For the sake of simplicity in the calculations we carry out details of proofs in a ball. However, the proofs go through for any annulus.

Comments

First published in Proceedings of the American Mathematical Society in Vol. 131-3(2003), published by the American Mathematical Society

Rights Information

© 2002 American Mathematical Society

DOI

10.1090/S0002-9939-02-06642-X

Recommended Citation

Aduén, Hugo and Castro, Alfonso, "Infinitely Many Nonradial Solutions to a Superlinear Dirichlet Problem" (2002). All HMC Faculty Publications and Research. 463.
https://scholarship.claremont.edu/hmc_fac_pub/463