Boundary optimization under pseudo curvature constraint
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 23 (1996) no. 4, p. 681-699 
@article{ASNSP_1996_4_23_4_681_0,
     author = {Bucur, Dorin and Zol\'esio, Jean-Paul},
     title = {Boundary optimization under pseudo curvature constraint},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 23},
     number = {4},
     year = {1996},
     pages = {681-699},
     zbl = {0889.49026},
     mrnumber = {1469570},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1996_4_23_4_681_0}
}

Bucur, Dorin; Zolésio, Jean-Paul. Boundary optimization under pseudo curvature constraint. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 23 (1996) no. 4, pp. 681-699. http://www.numdam.org/item/ASNSP_1996_4_23_4_681_0/

[1] L. Ambrosio - G. Buttazzo, An optimal design problem with perimeter penalization, Calc. Var. 1 (1993), 55-69. | MR 1261717 | Zbl 0794.49040

[2] M. Berger, Géométrie, vol. 3, Cedic/Fernand Nathan, Paris, 1978. | MR 536872 | Zbl 0423.51003

[3] M. Berger - B. Gostiaux, Géométrie Différentielle, Armand Collin, Paris, 1987. | MR 494180

[4] D. Bucur - J.P. Zolésio, Continuité par rapport au domaine dans le problème de Neumann, C.R. Acad. Sci. Paris Sér. I Math. 319 (1994), 57-60. | MR 1285898 | Zbl 0805.35010

[5] D. Bucur - J.P. Zolésio, Free Boundary Problems and Density Perimeter, J. Differential Equations 126 (1996), 224-243. | MR 1383977 | Zbl 0856.35137

[6] M. Delfour - J.P. Zolésio, Shape Optimization: Oriented Distance Function, Comett. Cours, Sophia Antipolis, 1993.

[7] H. Federer, Geometric Measure Theory, Springer Verlag, Berlin, 1969. | MR 257325 | Zbl 0176.00801

[8] S.L. Kulkarni - S. Mitter - T. Richardson, An Existence Theorem and Lattice Approximations for a Variational Problem Arising in Computer Vision, Signal Processing, Part I Signal Processing Theory, L. Auslander, T. Kailath and S. Mitter eds., IMA series, Springer-Verlag, 1990, p. 189-210. | MR 1044605 | Zbl 0701.49003

[9] J. Sokolowski - J.P. Zolésio, Introduction to Shape Optimization, Springer Verlag, 1992. | MR 1215733 | Zbl 0761.73003

[10] W. Ziemer, Weakly Differentiable Functions, Springer, 1989. | MR 1014685 | Zbl 0692.46022

[11] J.P. Zolésio, Weak Shape Formulation of Free Boundary Problems, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 21 (1994), 11-44. | Numdam | MR 1276761 | Zbl 0807.49018