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Multiplicity of non-radial solutions of critical elliptic problems in an annulus

Published online by Cambridge University Press:  12 July 2007

Djairo Guedes de Figueiredo  and
Olímpio Hiroshi Miyagaki
Djairo Guedes de Figueiredo
Affiliation:
IMECC-UNICAMP, Caixa Postal 6065, 13081-970 Campinas (SP), Brazil ([email protected])
Olímpio Hiroshi Miyagaki
Affiliation:
Departamento de Matemática, Universidade Federal de Viçosa, 36571-000 Viçosa (MG), Brazil ([email protected])
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Abstract

By looking for critical points of functionals defined in some subspaces of , invariant under some subgroups of O (N), we prove the existence of many positive non-radial solutions for the following semilinear elliptic problem involving critical Sobolev exponent on an annulus, where 2* − 1 := (N + 2)/(N − 2) (N ≥ 4), the domain is an annulus and f : R+ × R+ → R is a C1 function, which is a subcritical perturbation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 1 , February 2005 , pp. 25 - 37
Copyright
Copyright © Royal Society of Edinburgh 2005

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