Density lower bound estimate for local minimizer of free interface problem with volume constraint

Author:

Esposito Luca

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference24 articles.

1. Alt, H.W., Caffarelli, L.A.: Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325, 107–144 (1981)

2. Ambrosio, L., Buttazzo, G.: An optimal design problem with perimeter penalization. Calc. Var. Part. Differ. Equ. 1, 55–69 (1993)

3. Ambrosio, L., Fusco, N., Pallara, D.: Functions of Bounded Variation and Free Discontinuity Problems. Oxford University Press, Oxford (2000)

4. Bombieri, E.: Regularity theory for almost minimal currents. Arch. Ration. Mech. Anal. 78, 99–130 (1982)

5. Carozza, M., Fonseca, I., Di Napoli, A.Passarelli: Regularity results for an optimal design problem with a volume constraint, ESAIM Control. Optim. Calc. Var. 20(2), 460–487 (2014)

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