The obstacle problem for the biharmonic operator

Luis A. Caffarelli; Avner Friedman

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1979)

  • Volume: 6, Issue: 1, page 151-184
  • ISSN: 0391-173X

How to cite

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Caffarelli, Luis A., and Friedman, Avner. "The obstacle problem for the biharmonic operator." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.1 (1979): 151-184. <http://eudml.org/doc/83803>.

@article{Caffarelli1979,
author = {Caffarelli, Luis A., Friedman, Avner},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Obstacle Problem; Biharmonic Operator; Free Boundary; Differential Inequalities; Regularity of Solutions},
language = {eng},
number = {1},
pages = {151-184},
publisher = {Scuola normale superiore},
title = {The obstacle problem for the biharmonic operator},
url = {http://eudml.org/doc/83803},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Caffarelli, Luis A.
AU - Friedman, Avner
TI - The obstacle problem for the biharmonic operator
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 1
SP - 151
EP - 184
LA - eng
KW - Obstacle Problem; Biharmonic Operator; Free Boundary; Differential Inequalities; Regularity of Solutions
UR - http://eudml.org/doc/83803
ER -

References

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  1. [1] H. Brézis - G. Stampacchia, Remarks on some fourth order variational inequalities, Ann. Scuola Norm. Sup. Pisa, 4 (4) (1977), pp. 363-371. Zbl0422.35043MR481472
  2. [2] L. Carleson, Selected Topics on Exceptional Sets, Van Nostrand, Princeton, 1967. Zbl0189.10903MR225986
  3. [3] J. Frehse, Zum Differenzierbarkeitsproblem bei Variationsungleichungen höherer Ordnung, Hamburg Univ. Math. Sem., Abhand., 36 (1971), pp. 140-149. Zbl0219.35029MR330754
  4. [4] J. Frehse, On the regularity of the solution of the biharmonic variational inequality, Manuscripta Math., 9 (1973), pp. 91-103. Zbl0252.35031MR324208
  5. [5] O.D. Kellogg, Foundations of Potential Theory, Dover Publications, New York, 1953. Zbl0053.07301
  6. [6] N.S. Landkof, Foundations of Modern Potential Theory, Springer-Verlag, Berlin, 1972. Zbl0253.31001MR350027
  7. [7] J.L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires, Dunod, Gauthier-Villars, Paris, 1969. Zbl0189.40603MR259693
  8. [8] J.L. Lions - E. Magenes, Problèmes aux limites Non Homogènes et Applicacations, vol. 1, Dunod, Paris, 1968. Zbl0165.10801MR247243
  9. [9] J.L. Lions - G. Stampacchia, Variational inequalities, Comm. Pure Appl. Math., 20 (1967), pp. 493-519. Zbl0152.34601MR216344
  10. [10] L. Schwartz, Théorie des Distributions, vol. 1, Herman, Paris, 1957. Zbl0037.07301MR107812
  11. [11] G. Stampacchia, Su una disequazione variazionale legata al comportamento elastoplastico delle travi appoggiate agli estremi, Boll. U.M.I., 11 (4) (1975), pp. 444-454. Zbl0317.49033MR408406
  12. [12] G. Cimatti, The constrained elastic beam, Meccanica, 8 (1973), pp. 119-129. Zbl0281.73032MR337110

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