Variational inequalities and the principle of virtual displacements
Modelirovanie i analiz informacionnyh sistem, Tome 17 (2010) no. 3, pp. 48-57

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The existence of a solution of the inclusion $0\in A(x)+N_Q(x)$ is proved, in which $A$ is a multivalued pseudomonotone operator from the reflexive space $V$ to the conjugate space to it $V^*$, $N_Q$ is a normal cone to the weakly compact and, generally speaking, not convex set $Q \subset V$, with nonzero euler characterization $\chi(Q)$.
Keywords: operator inclusion, variational inequality, multivalued mapping, analytical statics.
@article{MAIS_2010_17_3_a3,
     author = {N. A. Dem'yankov},
     title = {Variational inequalities and the principle of virtual displacements},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {48--57},
     publisher = {mathdoc},
     volume = {17},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2010_17_3_a3/}
}
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N. A. Dem'yankov. Variational inequalities and the principle of virtual displacements. Modelirovanie i analiz informacionnyh sistem, Tome 17 (2010) no. 3, pp. 48-57. http://geodesic.mathdoc.fr/item/MAIS_2010_17_3_a3/