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Remarks to weakly continuous inverse operators and an application in hyperelasticity. (English) Zbl 1030.47043
After a short introduction, the definition of SC locally weakly continuous operator is given. The main result of this part is Theorem 1 guaranteeing sufficient conditions for SC local weak continuity of an inverse operator. This theorem is applied in the next section to prove the SC local weak continuity of an inverse operator in the theory of hyperelasticity.
MSC:
47H30 Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)
74B20 Nonlinear elasticity
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