Upper estimates for the energy of solutions of nonhomogeneous boundary value problems-Reference-Cited by-同舟云学术

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

Published:2005-08-11 Issue:1 Volume:134 Page:167-175
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Castro Alfonso,Clapp Mónica

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-01/S0002-9939-05-08279-1/S0002-9939-05-08279-1.pdf

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