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A duality principle for non-convex optimisation and the calculus of variations

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References

  1. Coffman, C. V., “On variational principles for sublinear boundary value problems”, Jour. Diff. Eqns., 17 46–60 (1975).

    MATH  MathSciNet  Google Scholar 

  2. Ekeland, I., & Temam, R., “Analyse convexe et problemes variationeis”, Dunod, Gauthiers. Paris 1974. (English translation “Convex analysis and variational problems”, North-Holland, Amsterdam 1976.)

    Google Scholar 

  3. Fenchel, W., “Convex cones, sets and functions”, Notes de Cours polycopiees, Princeton University, 1951.

  4. Kolodner, I.I., “Heavy rotating string —a non-linear eigenvalue problem”, Comm. Pure Appl. Math., VIII 395–408 (1955).

    MathSciNet  Google Scholar 

  5. Rockafellar, T.R., “Duality and stability in extremal problems involving convex functions”, Pac. Jour. Math., 21, 167–187 (1967).

    MATH  MathSciNet  Google Scholar 

  6. Rockafellar, T.R., “Convex Analysis”, Princeton University Press, 1970.

  7. Rockafellar, T.R., “Convex integral functions and duality”, in Contributions to Nonlinear Functional Analysis (E. Zarantonello, ed.), Academic Press, 1971.

  8. Rockafellar, T.R., “Conjugate convex functions in optimal control and the calculus of variations”, Jour. Math. Anal. Appl., 32, 174–222 (1970).

    MATH  MathSciNet  Google Scholar 

  9. Toland, J. F., “On the stability of rotating heavy chains”, to appear, Jour. Diff. Eqns.

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Authors and Affiliations

  1. Fluid Mechanics Research Institute University of Essex, Wivenhoe Park, Colchester

    J. F. Toland

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  1. J. F. Toland
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Communicated by C. Dafermos

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Toland, J.F. A duality principle for non-convex optimisation and the calculus of variations. Arch. Rational Mech. Anal. 71, 41–61 (1979). https://doi.org/10.1007/BF00250669

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  • DOI: https://doi.org/10.1007/BF00250669

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