Euler-Lagrange equations for functionals defined on Fr\'echet manifolds
classification
🧮 math.FA
math-phmath.DGmath.MP
keywords
definedechetequationseuler-lagrangefunctionalsmanifoldsappearingbundles
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We prove a version of the variational Euler-Lagrange equations valid for functionals defined on Fr\'echet manifolds, such as the spaces of sections of differentiable vector bundles appearing in various physical theories.
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