Geodesic
Variational principles for nonpotential operators
Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 40 (1992), pp. 3-176 Cet article a éte moissonné depuis la source Math-Net.Ru

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One presents numerous approaches for the construction of variational principles for equations with operators which, in general, are nonpotential. One considers separately linear and nonlinear ordinary differential equations, partial and integropartial differential equations. One constructs and investigates both extremal and stationary variational principles and one gives applications of these principles in theoretical physics and in analytic mechanics. A series of unsolved problems are indicated. The survey is intended for mathematicians, physicists, working in both theoretical and applied areas, as well as for graduate students of physics and mathematics. 
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     author = {V. M. Filippov and V. M. Savchin and S. G. Shorokhov},
     title = {Variational principles for nonpotential operators},
     journal = {Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya},
     pages = {3--176},
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     volume = {40},
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}
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V. M. Filippov; V. M. Savchin; S. G. Shorokhov. Variational principles for nonpotential operators. Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Noveishie Dostizheniya, Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", Tome 40 (1992), pp. 3-176. http://geodesic.mathdoc.fr/item/INTD_1992_40_a0/