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Smooth dependence on parameters of solutions and contact regions for an obstacle problem |
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| Authors: | Lutz Recke Milan Ku?era |
| Affiliation: | a Institute of Mathematics of the Humboldt University of Berlin, Unter den Linden 6, 10099 Berlin, Germany b Mathematical Institute of the Academy of Sciences of the Czech Republic, ?itná 25, 115 67 Prague 1, Czech Republic |
| Abstract: | We consider a class of variational inequalities which includes a model of a beam compressed by a force λ and unilaterally supported by a connected obstacle at the height h. A smooth dependence on parameters λ and h of solutions and intervals of their contact with the obstacle is proved in a neighbourhood of a given solution. The basic idea is to show local equivalence of the inequality with a suitable equation and to apply the implicit function theorem to this equation. |
| Keywords: | Smooth dependence on parameters Variational inequality Unilaterally supported beam |
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