Geodesic
On the existence and uniqueness of the solution of a problem of elasticity theory at stresses
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 50-51

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We study a new static problem of the elasticity theory with stresses. We give a method that enables to prove the positive definiteness of a value $W$ which has the meaning of energy. We show the ellipticity of the problem and the existence and uniqueness of its solution. 
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     author = {B. E. Pobedrya and T. Kholmatov},
     title = {On the existence and uniqueness of the solution of a problem of elasticity theory at stresses},
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B. E. Pobedrya; T. Kholmatov. On the existence and uniqueness of the solution of a problem of elasticity theory at stresses. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1982), pp. 50-51. http://geodesic.mathdoc.fr/item/VMUMM_1982_1_a13/