Star shaped coincidence sets in the obstacle problem

Shigeru Sakaguchi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 1, page 123-128
  • ISSN: 0391-173X

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Sakaguchi, Shigeru. "Star shaped coincidence sets in the obstacle problem." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.1 (1984): 123-128. <http://eudml.org/doc/83921>.

@article{Sakaguchi1984,
author = {Sakaguchi, Shigeru},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {obstacle problem; coincidence set; star shaped},
language = {eng},
number = {1},
pages = {123-128},
publisher = {Scuola normale superiore},
title = {Star shaped coincidence sets in the obstacle problem},
url = {http://eudml.org/doc/83921},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Sakaguchi, Shigeru
TI - Star shaped coincidence sets in the obstacle problem
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 1
SP - 123
EP - 128
LA - eng
KW - obstacle problem; coincidence set; star shaped
UR - http://eudml.org/doc/83921
ER -

References

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  1. [1] H. Brezis - D. Kinderlehrer, The smoothness of solutions to nonlinear variational inequalities, Indiana Univ. Math. J., 23 (1974), pp. 831-841. Zbl0278.49011MR361436
  2. [2] L.A. Caffarelli, The regularity of free boundaries in higher dimensions, Acta Math., 139 (1978), pp. 155-184. Zbl0386.35046MR454350
  3. [3] L.A. Caffarelli - D. Kinderlehrer, Potential methods in variational inequalities, J. D'Analyse Math., 37 (1980), pp. 285-295. Zbl0455.49010MR583641
  4. [4] L.A. Caffarelli - J. Spruck, Convexity properties of solutions to some classical variational problems, Comm. P.D.E., 7 (1982), pp. 1337-1379. Zbl0508.49013MR678504
  5. [5] A. Friedmar - D. Kinderlehrer, A one phase Stefan problem, Indiana Univ. Math. J., 24 (1975), pp. 1005-1035. Zbl0334.49002
  6. [6] D. Kinderlehrer, The coincidence set of solutions of certain variational inequalities, Arch. Rational Mech. Anal., 40 (1971), pp. 231-250. Zbl0219.49014MR271799
  7. [7] D. Kinderlehrer - L. Nirenberg, Regularity in free boundary problems, Ann. Scuola Norm. Sup. Pisa, Ser. IV, 4 (1977), pp. 373-391. Zbl0352.35023MR440187
  8. [8] D. Kinderlehrer - G. Stampacchia, An Introduction to Variational Inequalities and Their Applications, Academic Press, New York-London-Toronto- Sydney-San Francisco, 1980. Zbl0457.35001MR567696
  9. [9] H. Lewy, An inversion of the obstacle problem and its explicit solution, Ann. Scuola Norm. Sup. Pisa, Ser. IV, 6 (1979), pp. 561-571. Zbl0428.35080MR563334
  10. [10] H. Lewy - G. Stampacchia, On the regularity of the solution of a variational inequality, Comm. Pure Appl. Math., 22 (1969), pp. 153-188. Zbl0167.11501MR247551

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