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.
© 2002 American Mathematical Society
Aduén, Hugo and Castro, Alfonso, "Infinitely Many Nonradial Solutions to a Superlinear Dirichlet Problem" (2002). All HMC Faculty Publications and Research. 463.