Upper estimates for the energy of solutions of nonhomogeneous boundary value problems

Castro, Alfonso; Clapp, Mónica

doi:10.1090/S0002-9939-05-08279-1

Upper estimates for the energy of solutions of nonhomogeneous boundary value problems
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by Alfonso Castro and Mónica Clapp PDF

Proc. Amer. Math. Soc. 134 (2006), 167-175 Request permission

Abstract:

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.

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