On Variational Inequalities and their Application to the Obstacle Problem.

Authors

M. Amer, Mathematical and Physical Science Engineering Department., Faculty of Engineering., El-Mansoura University., Mansoura., Egypt.

Corresponding Author

Amer, M.

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

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.

Recommended Citation

Amer, M. (2021) "On Variational Inequalities and their Application to the Obstacle Problem.," Mansoura Engineering Journal: Vol. 17 : Iss. 4 , Article 8.
Available at: https://doi.org/10.21608/bfemu.2021.188741