Some remarks on continuous dependence and uniqueness in finite elastostatics for unbounded domains (Q1060890)

The author shows that continuous dependence and uniqueness in finite elastostatics for an unbounded domain hold in a not necessarily convex class of functions and under relatively weak hypothesis on behaviour at infinity. The nonconvex hypothesis are similar to those introduced by \textit{Sh. Breuer} and \textit{M. Aron} [J. Elasticity 12, 161-166 (1982; Zbl 0497.73015)] for a bounded domain, while the proof is based on a weighted virtual work method due to \textit{S. Rionero} and \textit{G. P. Galdi} [Arch. Ration Mech. Anal., 69, 37-52 (1979; Zbl 0423.76027)].