How to prove existence in shape optimization

• Autorzy: Bucur D.
• Języki publikacji: EN

Abstrakty

EN

This paper deals with the existence question in optimal design. We present, a general variational technique for proving existence, and give several examples concerning functionals of eigenvalues and of energy type. In particular, we show how the isoperi-metric problem for the Dirichlet eigenvalues of an elliptic operator of general order fits into this frame.

Słowa kluczowe

EN

existence; eigenvalues; shape optimization

PL

istnienie; wartość własna; optymalizacja kształtu

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2005
• Tom: Vol. 34, no 1
• Strony: 103--116
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Bucur D.

• Departement de Mathematiques, UMR-CNRS 7122, Universite de Metz Ile du Saulcy, 57045 Metz Cedex 01, France

Bibliografia

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