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On the three essential critical values theorem

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Publication:5949153
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DOI10.4171/ZAA/1030zbMath0987.58005MaRDI QIDQ5949153

Berardino Sciunzi

Publication date: 14 November 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

Palais-Smale conditiondeformation lemmaessential critical valuethree critical points theorem


Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)





Cites Work

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  • Critical point theory and the number of solutions of a nonlinear Dirichlet problem
  • A note on topological degree for potential operators
  • On the three critical points theorem
  • Infinite dimensional Morse theory and multiple solution problems
  • Applications of local linking to critical point theory
  • Perturbations of even nonsmooth functionals
  • Homotopy theory of infinite dimensional manifolds
  • Lusternik-Schnirelman theory on Banach manifolds
  • Solutions of asymptotically linear operator equations via morse theory
  • A Note on Degree Theory for Gradient Mappings
  • Remarks on finding critical points




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