Geodesic
The nonlinear problem of the symmetric deformation of a hollow sphere
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 149-156 Cet article a éte moissonné depuis la source Math-Net.Ru

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The problem is considered within the framework of the geometrical nonlinear theory of elasticity. Minimal restrictions are found under which the zero solution is unique for zero loads. Under these restrictions uniqueness of the solution for the tensile forces is proved, and the critical compressive force is found for which uniqueness is destroyed. 
@article{ZNSL_1977_69_a11,
     author = {V. G. Osmolovskii},
     title = {The nonlinear problem of the symmetric deformation of a hollow sphere},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {149--156},
     year = {1977},
     volume = {69},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a11/}
}
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V. G. Osmolovskii. The nonlinear problem of the symmetric deformation of a hollow sphere. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 10, Tome 69 (1977), pp. 149-156. http://geodesic.mathdoc.fr/item/ZNSL_1977_69_a11/