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Advances in Nonlinear Analysis

Editor-in-Chief: Radulescu, Vicentiu / Squassina, Marco


IMPACT FACTOR 2017: 4.674

CiteScore 2017: 2.96

SCImago Journal Rank (SJR) 2017: 2.082
Source Normalized Impact per Paper (SNIP) 2017: 1.845

Mathematical Citation Quotient (MCQ) 2017: 1.89

Open Access
Online
ISSN
2191-950X
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Variational methods in the presence of symmetry

Jonathan M. Borwein
  • Centre for Computer-assisted Research Mathematics and its Applications (CARMA), School of Mathematical and Physical Sciences, University of Newcastle, Callaghan, NSW 2308, Australia
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/ Qiji J. Zhu
Published Online: 2013-08-01 | DOI: https://doi.org/10.1515/anona-2013-1001

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.

Keywords: Variational methods; convex analysis; symmetry; group action

About the article

Received: 2011-10-13

Accepted: 2013-05-06

Published Online: 2013-08-01

Published in Print: 2013-08-01


Citation Information: Advances in Nonlinear Analysis, Volume 2, Issue 3, Pages 271–307, ISSN (Online) 2191-950X, ISSN (Print) 2191-9496, DOI: https://doi.org/10.1515/anona-2013-1001.

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