Relative rotation and variational inequalities
We introduce the notion of relative rotation of a multi-valued vector field generated by a monotone-type operator and obtain lower bounds for the number of solutions of variational inequalities. We establish conditions of topological nature that guarantee the strong convergence of the Galyorkin meth...
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| Veröffentlicht in: | Russian mathematics 2011-06, Vol.55 (6), p.37-45 |
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| container_end_page | 45 |
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| container_issue | 6 |
| container_start_page | 37 |
| container_title | Russian mathematics |
| container_volume | 55 |
| creator | Klimov, V. S. Dem’yankov, N. A. |
| description | We introduce the notion of relative rotation of a multi-valued vector field generated by a monotone-type operator and obtain lower bounds for the number of solutions of variational inequalities. We establish conditions of topological nature that guarantee the strong convergence of the Galyorkin method and the penalty method. |
| doi_str_mv | 10.3103/S1066369X11060065 |
| format | Article |
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| ispartof | Russian mathematics, 2011-06, Vol.55 (6), p.37-45 |
| issn | 1066-369X 1934-810X |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Mathematics Mathematics and Statistics |
| title | Relative rotation and variational inequalities |
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