Free Access
Issue
ESAIM: COCV
Volume 12, Number 4, October 2006
Page(s) 752 - 769
DOI https://doi.org/10.1051/cocv:2006020
Published online 11 October 2006
  1. G. Allaire, Shape optimization by the homogenization method. Springer-Verlag, New York (2002). [Google Scholar]
  2. M. Bendsoe and O. Sigmund, Topology Optimization. Theory, Methods, and Applications. Springer-Verlag, New York (2003). [Google Scholar]
  3. G. Bouchitté and G. Buttazzo, Integral representation of nonconvex functionals defined on measures. Ann. Inst. H. Poincaré Anal. Non Linéaire 9 (1992) 101–117. [Google Scholar]
  4. G. Bouchitté, C. Jimenez and M. Rajesh, Asymptotique d'un problème de positionnement optimal. C.R. Acad. Sci. Paris Ser. I 335 (2002) 1–6. [Google Scholar]
  5. D. Bucur and G. Buttazzo, Variational Methods in Shape Optimization Problems. Birkäuser, Boston, Progress in Nonlinear Differential Equations and their Applications 65 (2005). [Google Scholar]
  6. G. Buttazzo and G. Dal Maso, Shape optimization for Dirichlet problems: relaxed solutions and optimality conditions. Bull. Amer. Math. Soc. 23 (1990) 531–535. [CrossRef] [MathSciNet] [Google Scholar]
  7. G. Buttazzo and G. Dal Maso, Shape optimization for Dirichlet problems: relaxed formulation and optimality conditions. Appl. Math. Optim. 23 (1991) 17–49. [CrossRef] [MathSciNet] [Google Scholar]
  8. G. Buttazzo and G. Dal Maso, An existence result for a class of shape optimization problems. Arch. Rational Mech. Anal. 122 (1993) 183–195. [CrossRef] [MathSciNet] [Google Scholar]
  9. G. Buttazzo, G. Dal Maso, A. Garroni and A. Malusa, On the relaxed formulation of Some Shape Optimization Problems. Adv. Math. Sci. Appl. 7 (1997) 1–24. [MathSciNet] [Google Scholar]
  10. D. Cioranescu and F. Murat, Un terme étrange venu d'ailleurs. Nonlinear partial differential equations and their applications, Collège de France Seminar, Vol. II (1982), 98–138 and Vol. III (1982) 154–178. [Google Scholar]
  11. G. Dal Maso, An Introduction to Γ-convergence. Birkhauser, Basel (1992). [Google Scholar]
  12. L. Fejes Tóth, Lagerungen in der Ebene auf der Kugel und im Raum, Die Grundlehren der Math. Wiss., Vol. 65, Springer-Verlag, Berlin (1953). [Google Scholar]
  13. A. Henrot and M. Pierre, Variation et Optimisation de Forme. Une analyse géométrique. Springer-Verlag, Berlin, Mathématiques et Applications 48 (2005). [Google Scholar]
  14. F. Morgan and R. Bolton, Hexagonal Economic Regions Solve the Location Problem. Amer. Math. Monthly 109 (2002) 165–172. [CrossRef] [MathSciNet] [Google Scholar]
  15. S. Mosconi and P. Tilli, Γ-Convergence for the Irrigation Problem, 2003. J. Conv. Anal. 12 (2005) 145–158. [Google Scholar]
  16. J. Sokolowski and J.P. Zolesio, Introduction to Shape Optimization. Shape sensitivity analysis. Springer-Verlag, Berlin (1992). [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.