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On the Existence and the Classification of Critical Points for Non-Smooth Functionals

Published online by Cambridge University Press:  20 November 2018

G. Fang
G. Fang*
Affiliation:
Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, New York 10012, U.S.A. e-mail: fang@cims. nyu. edu
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Abstract

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We extend the min-max methods used in the critical point theory of differentiable functionals on smooth manifolds to the case of continuous functionals on a complete metric space. We study the topological properties of the min-max generated critical points in this new setting by adopting the methodology developed by Ghoussoub in the smooth case. Many old and new results are extended and unified and some applications are given.

Keywords

58E0549F15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 4 , 01 August 1995 , pp. 684 - 717
Copyright
Copyright © Canadian Mathematical Society 1995

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