Geodesic
Investigation of solvability of the nonlinear equilibrium problem of a shallow unfixed shell
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 3, pp. 105-110

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We deduce sufficient conditions for the solvability of the variational equilibrium problem of a shallow shell with free edges within the geometrically and physically nonlinear model of middle bending.
Keywords: shallow shell, geometrically nonlinear theory of middle bending, variational problem, solvability conditions. 
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     author = {M. M. Karchevsky},
     title = {Investigation of solvability of the nonlinear equilibrium problem of a~shallow unfixed shell},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {105--110},
     publisher = {mathdoc},
     volume = {155},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2013_155_3_a10/}
}
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M. M. Karchevsky. Investigation of solvability of the nonlinear equilibrium problem of a shallow unfixed shell. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 155 (2013) no. 3, pp. 105-110. http://geodesic.mathdoc.fr/item/UZKU_2013_155_3_a10/