Geodesic
Variational calculus on Banach spaces
Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1527-1540 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem of variational calculus is considered in a (variable) subdomain of a Banach space. Analogues of the basic principles of the finite-dimensional theory are derived: the main formula for variations of a functional, necessary conditions of an extremum, Noether's theorem. All the results obtained are dimension-invariant and become the classical ones in the finite-dimensional setting. The main tool of the analysis is the theory of surface integration in Banach spaces. 
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     author = {A. V. Uglanov},
     title = {Variational calculus on {Banach} spaces},
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A. V. Uglanov. Variational calculus on Banach spaces. Sbornik. Mathematics, Tome 191 (2000) no. 10, pp. 1527-1540. http://geodesic.mathdoc.fr/item/SM_2000_191_10_a6/

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