A useful approximation scheme for Lagrangians

  • E. J. Balder
Contributed Papers


We present a new, useful approximation scheme for the integrand of an integral functional, revolving around a generalized bipolarity result. This scheme leads immediately to lower semicontinuity and lower closure results for the integral functional, as well as to other, more general seminormality properties.

Key Words

Semicontinuity seminormality integral functionals calculus of variations optimal control theory generalized conjugation generalized polarity 


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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • E. J. Balder
    • 1
  1. 1.Department of MathematicsUniversity of UtrechtUtrechtHolland

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