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GLOBAL ANALYSIS OF ONE-DIMENSIONAL VARIATIONAL PROBLEMS

Part of: Variational problems in infinite-dimensional spaces Existence theories

Published online by Cambridge University Press:  28 November 2016

PHILIP JOHN SCHRADER
PHILIP JOHN SCHRADER*
Affiliation:
School of Mathematics and Statistics, University of Western Australia, Perth, WA 6009, Australia email philschrad@gmail.com
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Abstract

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Keywords

variational problemcritical pointPalais–Smale condition

MSC classification

Primary: 58E05: Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirel'man) theory, etc.)
Secondary: 49J40: Variational methods including variational inequalities 58E50: Applications
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 1 , February 2017 , pp. 167 - 168
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

Schrader, P., ‘Existence of variationally defined curves with higher order elliptic Lagrangians’, Nonlinear Anal. 115 (2015), 1–11.Google Scholar
Schrader, P., ‘Morse theory for elastica’, J. Geom. Mech. 8 (2016), 235–256.Google Scholar
Schrader, P. and Noakes, L., ‘Conditional extremals in complete Riemannian manifolds’, Nonlinear Anal. 75 (2012), 2177–2188.Google Scholar