The Existence of Optimal Solution for a Shape Optimization Problem on Starlike Domain

Y. He () and B. Z. Guo ()
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Y. He: Central South University
B. Z. Guo: Academia Sinica

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 1, No 2, 30 pages

Abstract: Abstract 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.

Keywords: Shape optimization; Starlike domain; Existence (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-011-9878-3

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