Infinitely many nonradial solutions to a superlinear Dirichlet problem

Aduén, Hugo; Castro, Alfonso

doi:10.1090/S0002-9939-02-06642-X

Infinitely many nonradial solutions to a superlinear Dirichlet problem
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by Hugo Aduén and Alfonso Castro PDF

Proc. Amer. Math. Soc. 131 (2003), 835-843 Request permission

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.

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