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The ε-variational principle revisited

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1446)

Keywords

  • Banach Space
  • Semicontinuous Function
  • Critical Point Theory
  • Mountain Pass Theorem
  • Continuous Convex

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References

Section 1

  1. Ekeland: Convexity methods in Hamiltonian mechanics, Springer, Ergebnisse, 1989.

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  2. ": "Non convex minimization problem", Bull. AMS 1 (1979), 443–474.

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  3. ": "Some lemmas about dynamical systems", Math. Scand. 52 (1983), 262–268.

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Section 2

  1. Borwein-Preiss: "A smooth variational principle", Trans. AMS, 303 (1987), 517–527.

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  2. Phelps: "Convex functions, monotone operators and differentiability, Springer, Lecture Notes, 1364.

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Section 3

  1. Marcellini-Sbordone: "On the existence of minima of multiple integrals in the calculus of variations", J. Math. Pure and Appl. 62 (1983), 1–9.

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  2. Ambrosetti-Rabinowitz: "Dual variational methods in critical points and applications", J. Funct. Anal 14 (1973) 349–381.

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  3. Ghoussoub-Preiss: "A general min-max method in critical point theory", to appear Ann. IHP, Analyse Non Linéaire.

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  4. Pucci-Serrin: "The structure of the critical point set in the mountain pass theorem". Trans. AMS 91 (1987), 115–132.

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  5. Hofer: "A geometrical description of the neighborhood of a critical point given by the mountain pass theorem". J. London Math. Soc. 31 (1985), 556–570.

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© 1990 Springer-Verlag

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Ekeland, I. (1990). The ε-variational principle revisited. In: Cellina, A. (eds) Methods of Nonconvex Analysis. Lecture Notes in Mathematics, vol 1446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084929

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  • DOI: https://doi.org/10.1007/BFb0084929

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53120-3

  • Online ISBN: 978-3-540-46715-1

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