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General existence theorems for unilateral problems in continuum mechanics

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Abstract

The problem of minimizing a possibly non-convex and non-coercive functional is studied. Either necessary or sufficient conditions for the existence of solutions are given, involving a generalized recession functional, whose properties are discussed thoroughly. The abstract results are applied to find existence of equilibrium configurations of a deformable body subject to a system of applied forces and partially constrained to lie inside a possibly unbounded region.

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Authors and Affiliations

  1. Dipartimento di Matematica, dell'Università, Pavia

    Claudio Baiocchi, Giuseppe Buttazzo, Fabio Gastaldi & Franco Tomarelli

  2. Scuola Normale Superiore, Pisa

    Claudio Baiocchi, Giuseppe Buttazzo, Fabio Gastaldi & Franco Tomarelli

  3. Istituto di Analisi Numerica del C. N. R., Pavia

    Claudio Baiocchi, Giuseppe Buttazzo, Fabio Gastaldi & Franco Tomarelli

Authors
  1. Claudio Baiocchi
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  2. Giuseppe Buttazzo
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  3. Fabio Gastaldi
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  4. Franco Tomarelli
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Communicated by E. Giusti

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Baiocchi, C., Buttazzo, G., Gastaldi, F. et al. General existence theorems for unilateral problems in continuum mechanics. Arch. Rational Mech. Anal. 100, 149–189 (1988). https://doi.org/10.1007/BF00282202

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  • DOI: https://doi.org/10.1007/BF00282202

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