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  • 58-XX Global analysis, analysis on manifolds
  • 58Exx Variational problems in infinite-dimensional spaces
  • 58E30 Variational principles

58Exx Variational problems in infinite-dimensional spaces

  • 58E05 Abstract critical point theory (Morse theory, Ljusternik-Schnirelman (Lyusternik-Shnirelman) theory, etc.)
  • 58E07 Abstract bifurcation theory
  • 58E09 Group-invariant bifurcation theory
  • 58E10 Applications to the theory of geodesics (problems in one independent variable)
  • 58E11 Critical metrics
  • 58E12 Applications to minimal surfaces (problems in two independent variables)
  • 58E15 Application to extremal problems in several variables; Yang-Mills functionals , etc.
  • 58E17 Pareto optimality, etc., applications to economics
  • 58E20 Harmonic maps , etc.
  • 58E25 Applications to control theory
  • 58E30 Variational principles
  • 58E35 Variational inequalities (global problems)
  • 58E40 Group actions
  • 58E50 Applications
  • 58E99 None of the above, but in this section
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Differential-geometric and variational background of classical gauge field theories.

Hanno Rund (1982)

Aequationes mathematicae

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