We establish upper bounds for the energy of critical levels of the functional associated to a perturbed superlinear elliptic boundary value problem. We show that the perturbed problem satisfies the estimates obtained by Bahri and Lions (1988) for the symmetric problem. We use these estimates to prove the existence of nonradial solutions to a radial elliptic boundary value problem. Our results fill a gap in an earlier paper by Aduén and Castro.
© 2005 American Mathematical Society
Castro, Alfonso and Clapp, Mónica, "Upper Estimates for the Energy of Solutions of Nonhomogeneous Boundary Value Problems" (2005). All HMC Faculty Publications and Research. 464.
First published in Proceedings of the American Mathematical Society in Vol 131-1(2006), published by the American Mathematical Society