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Cookie akzeptierenDorin Bucur / Giuseppe Buttazzo
Variational Methods in Some Shape Optimization Problems
- Springer Nature Singapore
- 2002
- Taschenbuch
- 217 Seiten
- ISBN 9788876422973
The study of shape optimization problems is a very wide field, both classical, as the isoperimetric problem and Newton problem of the best aerodynamical shape show, and modern, for all the recent results obtained in the last two, three decades. The fascinating feature is that the competing objects are shapes, i.e. domains of Rn, instead of functions, as usually occurs in problems of calculus of variations. This constraint often produces additional difficulties that lead to a lack of existence of a solution and the introduction of suitable relaxed formulations of the problem. However, in a few cases an optimal solution exists, due to the special form
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