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Stability of static configurations with applications to the theory of capillarity

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References

  1. Almansi, E., Annali di Matematica, Series 3, 12, 1 (1906).

    Google Scholar 

  2. Bliss, G. A., Lectures on the Calculus of Variations. Chicago: University of Chicago Press, 1968 (274–281).

    Google Scholar 

  3. Ibid Bliss, G. A., Lectures on the Calculus of Variations. Chicago: University of Chicago Press, 1968 p. 272.

  4. Bolza, O., Lectures on the Calculus of Variations. New York: Dover 1961, footnote on p. 207.

    Google Scholar 

  5. Ibid Bolza, O., Lectures on the Calculus of Variations. New York: Dover 1961, footnote on p. 209.

  6. Ibid Bolza, O., Lectures on the Calculus of Variations. New York: Dover 1961, footnote on p. 209. Chapter VI.

  7. Ibid Bolza, O., Lectures on the Calculus of Variations. New York: Dover 1961, footnote on p. 225.

  8. Boys, C. V., Soap Bubbles and the Forces which Mould Them. Society for Promoting Christian Knowledge, London 1895 (78–79).

    Google Scholar 

  9. Delaunay, Ch., Journal de Mathématiques 6, 309 (1841).

    Google Scholar 

  10. Erle, M. A., R. D. Gillette, & D. C. Dyson, The Chem. Eng. J. 1, 97 (1970).

    Google Scholar 

  11. Forsythe, A. R., Calculus of Variations. Cambridge: University Press (1927), Section 328.

    Google Scholar 

  12. Gauss, C. F., Commentationes Societatis Regiae Scientiarum Gottingensis Recentiores, 7 (1830).

  13. Gillette, R. D., Ph. D. Thesis. Houston: Rice University, November 1970.

    Google Scholar 

  14. Gillette, R. D., & D. C. Dyson, Chem. Eng. J. 2, 44 (1971).

    Google Scholar 

  15. Gillette, R. D., & D. C. Dyson, Chem. Eng. J. 3, 196 (1972).

    Google Scholar 

  16. Hancock, H., Theory of Maxima and Minima. New York: Dover 1960, p. 103.

    Google Scholar 

  17. Hancock, H., Lectures on the Calculus of Variations. University of Cincinnati Bulletin of Mathematics, No. 1 (1904), p. 278.

  18. Hormann, Gustav, Ph. D. Dissertation, George-Augustus Universität zu Göttingen, 1887.

  19. Howe, Willy, Ph. D. Dissertation, Friedrich-Wilhelms Universität zu Berlin 1887.

  20. Lindelöf, L., Acta Societatis Scientiarum Fennicae 7, 347 (1863).

    Google Scholar 

  21. Maxwell, James Clerk, Encyclopaedia Britannica, Vol. 5. Edinburgh: Adam and Charles Black, 1898, pp. 68–69 (Ninth Edition).

    Google Scholar 

  22. Plateau, J. A. F., Experimental and Theoretical Researches on the Figures of Equilibrium of a Liquid Mass. (Trans. in Annual Reports of the Smithsonian Institution, 1863–1866).

  23. Plateau, J. A. F., Statique Expérimentale et Théorique des Liquides Soumis aux Seules Forces Moléculaires. Paris: Gauthier-Villars 1873, Volume 2, p. 231.

    Google Scholar 

  24. Rücker, A. W., Philosophical Magazine 23, 35 (1886).

    Google Scholar 

  25. Sturm, J. C., Journal de Mathématiques 6, 315 (1841).

    Google Scholar 

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Communicated by C.-C. Wang

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Gillette, R.D., Dyson, D.C. Stability of static configurations with applications to the theory of capillarity. Arch. Rational Mech. Anal. 53, 150–177 (1974). https://doi.org/10.1007/BF00276581

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