A free boundary problem for quasi-linear elliptic equations

Hans Wilhelm Alt; Luis A. Caffarelli; Avner Friedman

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

  • Volume: 11, Issue: 1, page 1-44
  • ISSN: 0391-173X

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Alt, Hans Wilhelm, Caffarelli, Luis A., and Friedman, Avner. "A free boundary problem for quasi-linear elliptic equations." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.1 (1984): 1-44. <http://eudml.org/doc/83923>.

@article{Alt1984,
author = {Alt, Hans Wilhelm, Caffarelli, Luis A., Friedman, Avner},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {existence; minimization problem; Lipschitz continuity; nondegeneracy of the minimum; analyticity of the free boundary},
language = {eng},
number = {1},
pages = {1-44},
publisher = {Scuola normale superiore},
title = {A free boundary problem for quasi-linear elliptic equations},
url = {http://eudml.org/doc/83923},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Alt, Hans Wilhelm
AU - Caffarelli, Luis A.
AU - Friedman, Avner
TI - A free boundary problem for quasi-linear elliptic equations
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 1
SP - 1
EP - 44
LA - eng
KW - existence; minimization problem; Lipschitz continuity; nondegeneracy of the minimum; analyticity of the free boundary
UR - http://eudml.org/doc/83923
ER -

References

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  1. [1] H.W. Alt - L.A. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math., 325 (1981), pp. 105-144. Zbl0449.35105MR618549
  2. [2] H.W. Alt - L.A. Caffarelli - A. Friedman, Axially symmetric jet flows, Arch. Rational Mech. Anal., 81 (1983), pp. 97-149 Zbl0515.76017MR682265
  3. [3] H.W. Alt - L.A. Caffarelli - A. Friedman, Asymmetric jet flows, Comm. Pure Appl. Math., 35 (1982), pp. 29-68. Zbl0515.76018MR637494
  4. [4] H.W. Alt - L.A. Caffarelli - A. Friedman, Jet flows with gravity, J. Reine Angew. Math., 331 (1982), pp. 58-103. Zbl0561.76022MR647374
  5. [5] H. Federer, Geometric Measure Theory, Springer Verlag, vol. 153, Berlin- Heidelberg-New York, 1969. Zbl0176.00801MR257325
  6. [6] D. Gilbarg - N.S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer Verlag, vol. 224, Berlin-Heidelberg-New York, 1977. Zbl0361.35003MR473443
  7. [7] E. Giusti, Minimal Surfaces and Functions of Bounded Variations, Notes on Pure Mathematics, Australian National University, Camberra, 1977. Zbl0402.49033MR638362
  8. [8] V.M. Isakov, Inverse theorems concerning the smoothness of potentials, Differential Equations, 11 (1974), pp. 50-56 (Translated from Russian). Zbl0328.31010
  9. [9] V.M. Isakov, Analyticity of nonlinear transmission problems, Differential Equations, 12 (1976), pp. 41-47 (Translated from Russian). Zbl0343.35035MR445123
  10. [10] D. Kinderlehrer - L. Nirenberg, Regularity in free boundary problems, Ann. Scuola Norm. Sup. Pisa, 4 (4) (1977), pp. 373-391. Zbl0352.35023MR440187
  11. [11] C.B. Morrey, Jr., Multiple Integrals in the Calculus of Variations, Springer Verlag, Berlin-Heidelberg -New York, 1966. Zbl0142.38701MR202511

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