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Metric Critical Point Theory 2. Deformation Techniques

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Part of the book series: Operator Theory: Advances and Applications ((OT,volume 98))

Abstract

The paper contains several results relating to deformation techniques in critical point theory for continuous functions on metric spaces, including two deformation theorems, an extension of the mountain pass theorem and a dense solvability theorem for potential set-valued operators associated with critical points of Lipschitz perturbations of quadratic functional in Hilbert spaces.

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This research was supported by Technion V.R.P. Fund and by B. and G. Greenberg Research Fund (Ottawa)

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© 1997 Springer Basel AG

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Ioffe, A., Schwartzman, E. (1997). Metric Critical Point Theory 2. Deformation Techniques. In: Gohberg, I., Lyubich, Y. (eds) New Results in Operator Theory and Its Applications. Operator Theory: Advances and Applications, vol 98. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8910-0_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8910-0_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9824-9

  • Online ISBN: 978-3-0348-8910-0

  • eBook Packages: Springer Book Archive

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