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.
Amer, M. (2021). On Variational Inequalities and their Application to the Obstacle Problem.. MEJ- Mansoura Engineering Journal, 17(4), 21-29. doi: 10.21608/bfemu.2021.188741
MLA
M. A. Amer. "On Variational Inequalities and their Application to the Obstacle Problem.". MEJ- Mansoura Engineering Journal, 17, 4, 2021, 21-29. doi: 10.21608/bfemu.2021.188741
HARVARD
Amer, M. (2021). 'On Variational Inequalities and their Application to the Obstacle Problem.', MEJ- Mansoura Engineering Journal, 17(4), pp. 21-29. doi: 10.21608/bfemu.2021.188741
VANCOUVER
Amer, M. On Variational Inequalities and their Application to the Obstacle Problem.. MEJ- Mansoura Engineering Journal, 2021; 17(4): 21-29. doi: 10.21608/bfemu.2021.188741
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