Lipschitz continuity of state functions in some optimal shaping

Author:

Briançon Tanguy,Hayouni Mohammed,Pierre Michel

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. Aguilera, N., Alt, H.W., Caffarelli, L.A.: An optimization problem with volume constraint. SIAM J. Control Optimization 24, 191-198 (1986)

2. Alt, H.W., Caffarelli, L.A.: Existence and regularity for a minimum problem with free boundary. J. reine angew. Math. 325, 105-144 (1981)

3. Alt, H.W., Caffarelli, L.A., Friedman, A.: Variational problems with two phases and their free boundaries. Trans. AMS 282(2), 431-461 (1984)

4. Briançon, T.: Regularity of optimal shapes for the Dirichlet’s energy with volume constraint. ESAIM: COCV 10, 99-122 (2004)

5. Buttazzo, G., Dal Maso, G.: An existence result for a class of Shape Optimization Problems. Arch. Ration. Mech. Anal. 122, 183-195 (1993)

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