Regularity in elliptic free boundary problems. II. Equations of higher order

D. Kinderlehrer; L. Nirenberg; J. Spruck

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

  • Volume: 6, Issue: 4, page 637-683
  • ISSN: 0391-173X

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Kinderlehrer, D., Nirenberg, L., and Spruck, J.. "Regularity in elliptic free boundary problems. II. Equations of higher order." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 6.4 (1979): 637-683. <http://eudml.org/doc/83824>.

@article{Kinderlehrer1979,
author = {Kinderlehrer, D., Nirenberg, L., Spruck, J.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {free boundary; hodograph; Legendre transform; regularity; non-linear elliptic equation; overdetermined elliptic systems; analyticity of solutions},
language = {eng},
number = {4},
pages = {637-683},
publisher = {Scuola normale superiore},
title = {Regularity in elliptic free boundary problems. II. Equations of higher order},
url = {http://eudml.org/doc/83824},
volume = {6},
year = {1979},
}

TY - JOUR
AU - Kinderlehrer, D.
AU - Nirenberg, L.
AU - Spruck, J.
TI - Regularity in elliptic free boundary problems. II. Equations of higher order
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1979
PB - Scuola normale superiore
VL - 6
IS - 4
SP - 637
EP - 683
LA - eng
KW - free boundary; hodograph; Legendre transform; regularity; non-linear elliptic equation; overdetermined elliptic systems; analyticity of solutions
UR - http://eudml.org/doc/83824
ER -

References

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  1. [1] S. Agmon - A. Douglis - L. Nirenberg, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, I, II, Comm. Pure Appl. Math., 12 (1959), pp. 623-727 and 17 (1964), pp. 35-92. Zbl0093.10401MR162050
  2. [2] L. Caffarelli - A. Friedman, The obstacle problem for the biharmonic operator, to appear. Zbl0405.31007
  3. [3] J. Frehse, On the regularity of the solution of the biharmonic variational inequality, Manuscripta Math., 9 (1973), pp. 91-103. Zbl0252.35031MR324208
  4. [4] D. Kindfrlehrer, Variational inequalities and free boundary problems, Bull. Amer. Math. Soc., 84 (1978), pp. 7-26. Zbl0382.35004MR466885
  5. [5] D. Kinderlehrer - L. Nirenberg, Regularity in free boundary value problems, Ann. Scuola Norm. Sup. Pisa, Ser. IV, 4 (1977), pp. 373-391. Zbl0352.35023MR440187
  6. [6] D. Kinderlehrer - L. Nirfnberg - J. Spruck, Regularité dans les problèmes elliptiques à frontière libre, C. R. Acad. Sci. Paris, 286 (1978), pp. 1187-1190. Zbl0386.35045MR501110
  7. [7] D. Kinderlehrer - L. Nirenberg, Analyticity at the boundary of solutions of nonlinear second-order parabolic equations, Comm. Pure Appl. Math., 31 (1978), pp. 283-338. Zbl0391.35045MR460897
  8. [8] D. Kinderlehrfr - L. Nirenberg - J. Spruck, Regularity in elliptic free boundary problems, I, Journal d'Analyse Math., 34 (1978), pp. 86-119. Zbl0402.35045MR531272
  9. [9] H. Lewy, On the reflection laws of second order differential equations in two independent variables, Bull. Amer. Math. Soc., 65 (1959), pp. 37-58. Zbl0089.08001MR104048
  10. [10] C.B. MorreyJr., Multiple Integrals in the Calculus of Variations, Springer-Verlag, New York - Berlin, 1966. Zbl0142.38701MR202511
  11. [11] V.A. Solonnikov, Overdetermined elliptic boundary value problems, Zap. Nauch. Sem. Leningrad. Otdel Mat. Inst. Steklov. Akad. Nauk SSSR, 21 (1971), pp. 112-158 (J. Soviet Math., 1 (1973), pp. 477-512). Zbl0285.35026MR289936
  12. [12] V.A. Solonnikov, Investigation of overdetermined elliptic boundary value problems in the fractional spaces of K. K. Golovkin, Trudy Mat. Inst. Steklov., 127 (1975), pp. 93-114 (Boundary value problems in Math. Physics, O. A. Ladyzhenskaya ed., A.M.S. (1977), pp. 109-134). Zbl0351.35033MR410078
  13. [13] G. Stampacchia, Formes bilinéaires coercitives sur les ensembles convexes. C. R. Acad. Sci. Paris, 258 (1964), pp. 4413-4416. Zbl0124.06401MR166591

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