| Article ID: | iaor2012247 |
| Volume: | 152 |
| Issue: | 1 |
| Start Page Number: | 21 |
| End Page Number: | 30 |
| Publication Date: | Jan 2012 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | He Y, Guo B |
| Keywords: | shape optimisation |
In this paper, a shape optimization problem over a multi‐dimensional starlike domain with boundary payoff is considered. The function, which characterizes the boundary of the domain with respect to some ball contained inside domain, is shown to be Lipschitz continuous. The existence of an optimal solution is proved.