Hostname: page-component-77c89778f8-cnmwb Total loading time: 0 Render date: 2024-07-21T11:49:26.160Z Has data issue: false hasContentIssue false
  • English
  • Français

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])
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)