Free Access
Issue
ESAIM: COCV
Volume 10, Number 1, January 2004
Page(s) 99 - 122
DOI https://doi.org/10.1051/cocv:2003038
Published online 15 February 2004
  1. N. Aguilera, H.W. Alt and L.A. Caffarelli, An optimization problem with volume constraint. SIAM J. Control Optimization 24 (1986) 191–198. [Google Scholar]
  2. H.W. Alt and L.A. Caffarelli, Existence and regularity for a minimum problem with free boundary. J. Reine Angew. Math. 325 (1981) 105–144. [Google Scholar]
  3. H.W. Alt, L.A. Caffarelli and A. Friedman, Variational problems with two phases and their free boundaries. Trans. Am. Math. Soc. 282 (1984) 431–461. [Google Scholar]
  4. T. Briancon, Problèmes de régularité en optimisation de formes. Ph.D. thesis, université Rennes 1 (2002). [Google Scholar]
  5. M. Crouzeix, Variational approach of a magnetic shaping problem. Eur. J. Mech. 10 (1991) 527–536. [Google Scholar]
  6. L.C. Evans and R.F. Gariepy, Measure theory and fine properties of functions. CRC Press (1992). [Google Scholar]
  7. H. Federer, Geometric measure theory. Springer-Verlag (1969). [Google Scholar]
  8. D. Gilbarg and N.S. Trudinger, Elliptic Partial Differential Equations of Second Order. Springer-Verlag (1983). [Google Scholar]
  9. E. Giusti, Minimal surfaces and functions of bounded variation. Birkhäuser (1986). [Google Scholar]
  10. B. Gustafsson and H. Shahgholian, Existence and geometric properties of solutions of a free boundary problem in potential theory. J. Reine Angew. Math. 473 (1996) 137–179. [Google Scholar]
  11. M. Hayouni, Existence et régularité pour des problèmes d'optimisation de formes. Ph.D. thesis, université Henri Poincaré Nancy 1 (1997). [Google Scholar]
  12. M. Hayouni, Lipschitz continuity of the state function in a shape optimization problem. J. Convex Anal. 6 (1999) 71–90. [Google Scholar]
  13. M. Hayouni, T. Briancon and M. Pierre. On a volume constrained shape optimization problem with nonlinear state equation. (to appear). [Google Scholar]
  14. X. Pelgrin, Étude d'un problème à frontière libre bidimensionnel. Ph.D. thesis, université Rennes 1 (1994). [Google Scholar]
  15. T.H. Wolff, Plane harmonic measures live on sets of Formula -finite length. Ark. Mat. 31 (1993) 137–172. [Google Scholar]

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