Boundary optimization under pseudo curvature constraint

Dorin Bucur; Jean-Paul Zolésio

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 4, page 681-699
  • ISSN: 0391-173X

How to cite

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Bucur, Dorin, and Zolésio, Jean-Paul. "Boundary optimization under pseudo curvature constraint." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.4 (1996): 681-699. <http://eudml.org/doc/84245>.

@article{Bucur1996,
author = {Bucur, Dorin, Zolésio, Jean-Paul},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {shape optimization; perimeter; Minkowski content},
language = {eng},
number = {4},
pages = {681-699},
publisher = {Scuola normale superiore},
title = {Boundary optimization under pseudo curvature constraint},
url = {http://eudml.org/doc/84245},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Bucur, Dorin
AU - Zolésio, Jean-Paul
TI - Boundary optimization under pseudo curvature constraint
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 4
SP - 681
EP - 699
LA - eng
KW - shape optimization; perimeter; Minkowski content
UR - http://eudml.org/doc/84245
ER -

References

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  1. [1] L. Ambrosio - G. Buttazzo, An optimal design problem with perimeter penalization, Calc. Var.1 (1993), 55-69. Zbl0794.49040MR1261717
  2. [2] M. Berger, Géométrie, vol. 3, Cedic/Fernand Nathan, Paris, 1978. Zbl0423.51003MR536872
  3. [3] M. Berger - B. Gostiaux, Géométrie Différentielle, Armand Collin, Paris, 1987. MR494180
  4. [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. Zbl0805.35010MR1285898
  5. [5] D. Bucur - J.P. Zolésio, Free Boundary Problems and Density Perimeter, J. Differential Equations126 (1996), 224-243. Zbl0856.35137MR1383977
  6. [6] M. Delfour - J.P. Zolésio, Shape Optimization: Oriented Distance Function, Comett. Cours, Sophia Antipolis, 1993. 
  7. [7] H. Federer, Geometric Measure Theory, Springer Verlag, Berlin, 1969. Zbl0176.00801MR257325
  8. [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. Zbl0701.49003MR1044605
  9. [9] J. Sokolowski - J.P. Zolésio, Introduction to Shape Optimization, Springer Verlag, 1992. Zbl0761.73003MR1215733
  10. [10] W. Ziemer, Weakly Differentiable Functions, Springer, 1989. Zbl0692.46022MR1014685
  11. [11] J.P. Zolésio, Weak Shape Formulation of Free Boundary Problems, Ann. Scuola Norm. Sup. Pisa Cl. Sci.21 (1994), 11-44. Zbl0807.49018MR1276761

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