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BY-NC-ND 3.0 license Open Access Published by De Gruyter August 1, 2013

Variational methods in the presence of symmetry

  • Jonathan M. Borwein EMAIL logo and Qiji J. Zhu

Abstract.

The purpose of this paper is to survey and to provide a unified framework to connect a diverse group of results, currently scattered in the literature, that can be usefully viewed as consequences of applying variational methods to problems involving symmetry. Here, variational methods refer to mathematical treatment by way of constructing an appropriate action function whose critical points—or saddle points—correspond to or contain the desired solutions.

Received: 2011-10-13
Accepted: 2013-05-06
Published Online: 2013-08-01
Published in Print: 2013-08-01

© 2013 by Walter de Gruyter Berlin Boston

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

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