A free boundary problem with a volume penalization

C. Lederman

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

  • Volume: 23, Issue: 2, page 249-300
  • ISSN: 0391-173X

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Lederman, C.. "A free boundary problem with a volume penalization." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.2 (1996): 249-300. <http://eudml.org/doc/84231>.

@article{Lederman1996,
author = {Lederman, C.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {free boundary problem; minimization problem; existence; regularity; cylindrical bars; maximum torsional rigidity},
language = {eng},
number = {2},
pages = {249-300},
publisher = {Scuola normale superiore},
title = {A free boundary problem with a volume penalization},
url = {http://eudml.org/doc/84231},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Lederman, C.
TI - A free boundary problem with a volume penalization
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 2
SP - 249
EP - 300
LA - eng
KW - free boundary problem; minimization problem; existence; regularity; cylindrical bars; maximum torsional rigidity
UR - http://eudml.org/doc/84231
ER -

References

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  1. [1] N. Aguilera - H. Alt - L. Caffarelli, An optimization problem with volume constraint, SIAM J. Control Optim. 24 (1986), 191-198. Zbl0588.49005MR826512
  2. [2] H. Alt - L. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math.325 (1981), 105-144. Zbl0449.35105MR618549
  3. [3] H. Alt - L. Caffarelli - A. Friedman, A free boundary problem for quasilinear elliptic equations, Ann. Scuola Norm. Sup. Pisa4 (1984), 1-44. Zbl0554.35129MR752578
  4. [4] C. Bandle, Isoperimetric Inequalities and Applications, Pitman, London, 1980. Zbl0436.35063MR572958
  5. [5] H. Federer, Geometric Measure Theory, Springer-Verlag, Heidelberg, New York, 1969. Zbl0176.00801MR257325
  6. [6] D. Gilbarg - N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer-Verlag, Berlin-Heidelberg -New York, 1983. Zbl0562.35001MR737190
  7. [7] E. Giusti, Minimal Surfaces and Functions of Bounded Variations, Birkhäuser, Boston, 1984. Zbl0545.49018MR775682
  8. [8] B. Kawohl, Rearrangements and Convexity of Level Sets in P.D.E., Lectures Notes in Mathematics, Vol.1150, Springer-Verlag, 1985. Zbl0593.35002MR810619
  9. [9] D. Kinderlehrer - L. Niremberg, Regularity in free boundary problems, Ann. Scuola Norm. Sup. Pisa4 (1977), 373-391. Zbl0352.35023MR440187
  10. [10] C. Lederman, An Optimization problem in elasticity, Differential Integral Equations8 (1995), 2025-2044. Zbl0832.73041MR1348963

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