Archive for Rational Mechanics and Analysis

, Volume 100, Issue 2, pp 149–189 | Cite as

General existence theorems for unilateral problems in continuum mechanics

  • Claudio Baiocchi
  • Giuseppe Buttazzo
  • Fabio Gastaldi
  • Franco Tomarelli


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.


Neural Network Complex System Nonlinear Dynamics Electromagnetism Applied Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag GmbH & Co 1988

Authors and Affiliations

  • Claudio Baiocchi
    • 1
    • 2
    • 3
  • Giuseppe Buttazzo
    • 1
    • 2
    • 3
  • Fabio Gastaldi
    • 1
    • 2
    • 3
  • Franco Tomarelli
    • 1
    • 2
    • 3
  1. 1.Dipartimento di Matematicadell'UniversitàPavia
  2. 2.Scuola Normale SuperiorePisa
  3. 3.Istituto di Analisi Numerica del C. N. R.Pavia

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