Solvability of a~physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 66-71

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The paper presents a generalized statement of geometrically and physically nonlinear problem of the equilibrium of sandwich plate with transversal-soft core. Generalized statement is formulated as a problem of finding a saddle point of a functional. We investigate the properties of this functional. These properties allow to prove a theorem of solvability of variational problem under consideration.
Keywords: sandwich plate, saddle point, theorem of solvability.
Mots-clés : transversal-soft core
@article{IVM_2015_10_a6,
     author = {I. B. Badriev and M. V. Makarov and V. N. Paimushin},
     title = {Solvability of a~physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {66--71},
     publisher = {mathdoc},
     number = {10},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_10_a6/}
}
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I. B. Badriev; M. V. Makarov; V. N. Paimushin. Solvability of a~physically and geometrically nonlinear problem of the theory of sandwich plates with transversal-soft core. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 66-71. http://geodesic.mathdoc.fr/item/IVM_2015_10_a6/