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New applications of the calculus of variations in the large to nonlinear elasticity

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Abstract

Global methods of the calculus of variations and the infinite dimensional critical point theories of Morse and Ljusternik are applied to investigate the structure of the equilibrium states of thin flexible elastic plates under general body forces. The arguments used are equally applicable to broad classes of physical systems governed by nonlinear elliptic partial differential equations.

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Authors and Affiliations

  1. Institute for Advanced Study, Princeton University, 08540, Princeton, New Jersey, USA

    Melvyn S. Berger

  2. Belfer Graduate School of Science, Yeshiva University, Amsterdam Avenue and 186 th Street, 10033, New York, N.Y.

    Melvyn S. Berger

Authors
  1. Melvyn S. Berger
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Additional information

Communicated by D. Ruelle

Research partially supported by AFOSR grant 73-2437.

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Berger, M.S. New applications of the calculus of variations in the large to nonlinear elasticity. Commun.Math. Phys. 35, 141–150 (1974). https://doi.org/10.1007/BF01646612

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  • DOI: https://doi.org/10.1007/BF01646612

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