On Variational Inequalities and their Application to the Obstacle Problem. | ||||
| MEJ- Mansoura Engineering Journal | ||||
| Article 9, Volume 17, Issue 4, December 1992, Page 21-29 PDF (72.87 K) | ||||
| Document Type: Research Studies | ||||
| DOI: 10.21608/bfemu.2021.188741 | ||||
 View on SCiNiTO | ||||
| Author | ||||
| M. A. Amer* | ||||
| Mathematical and Physical Science Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt. | ||||
| Abstract | ||||
| In this paper some existence results for the solution to the so called variational inequalities in real Banach space are established. Application of the established results to the obstacle problem, the prototype of many other moving and free boundary problems, is studied. We first investigate the case of an elastic string, then we extend our study in a natural way to the case of an elastic membrane stretched over a smooth obstacle. | ||||
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