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Minimizers and the euler-lagrange equations

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Trends and Applications of Pure Mathematics to Mechanics

Part of the book series: Lecture Notes in Physics ((LNP,volume 195))

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References

  1. J. M. Ball, Convexity conditions and existence theorems in nonlinear elasticity, Arch. Rat. Mech. Anal. 63 (1977), 337–403.

    Article  MATH  MathSciNet  Google Scholar 

  2. J. M. Ball, Global invertibility of Sobolev functions and the interpenetration of matter, Proc. Roy. Soc. Edinburgh 88A (1981), 315–328.

    Article  MATH  MathSciNet  Google Scholar 

  3. J. M. Ball, in preparation.

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  4. J. M. Ball & G. Knowles, forthcoming.

    Google Scholar 

  5. J. M. Ball & F. Murat, Wl,p-quasiconvexity and variational problems for multiple integrals, to appear.

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  6. J. M. Ball & V. J. Mizel, Singular minimizers for regular one-dimensional problmes in the calculus of variations, to appear.

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  7. J. M. Ball & V. J. Mizel, in preparation.

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  8. L. Cesari, ‘Optimization — Theory and Applications', Springer-Verlag, New York-Heidelberg-Berlin, 1983.

    Book  MATH  Google Scholar 

  9. B. Mania, Sopra un esempio di Lavrentieff, Boll. Un. Mat. Ital. 13 (1934), 147–153.

    MATH  Google Scholar 

  10. L. Tonelli, ‘Fondamenti di Calcolo delle Variazioni', Vol. 2, Zanichelli, Bologna, 1923.

    Google Scholar 

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Philippe G. Ciarlet Maurice Roseau

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© 1984 Springer-Verlag

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Ball, J.M. (1984). Minimizers and the euler-lagrange equations. In: Ciarlet, P.G., Roseau, M. (eds) Trends and Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12916-2_47

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  • DOI: https://doi.org/10.1007/3-540-12916-2_47

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12916-5

  • Online ISBN: 978-3-540-38800-5

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