A remark on uniqueness for quasilinear elliptic equations

N. André; M. Chipot

Banach Center Publications (1996)

  • Volume: 33, Issue: 1, page 9-18
  • ISSN: 0137-6934

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André, N., and Chipot, M.. "A remark on uniqueness for quasilinear elliptic equations." Banach Center Publications 33.1 (1996): 9-18. <http://eudml.org/doc/262728>.

@article{André1996,
author = {André, N., Chipot, M.},
journal = {Banach Center Publications},
keywords = {counterexamples; uniqueness},
language = {eng},
number = {1},
pages = {9-18},
title = {A remark on uniqueness for quasilinear elliptic equations},
url = {http://eudml.org/doc/262728},
volume = {33},
year = {1996},
}

TY - JOUR
AU - André, N.
AU - Chipot, M.
TI - A remark on uniqueness for quasilinear elliptic equations
JO - Banach Center Publications
PY - 1996
VL - 33
IS - 1
SP - 9
EP - 18
LA - eng
KW - counterexamples; uniqueness
UR - http://eudml.org/doc/262728
ER -

References

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  1. [A] N. André, Thesis, University of Metz, in preparation. 
  2. [AC] N. André and M. Chipot, in preparation. 
  3. [Ar] M. Artola, Sur une classe de problèmes paraboliques quasilinéaires, Boll. Un. Mat. Ital. (6) 5-B (1986), 51-70. 
  4. [BKS] H. Brezis, D. Kinderlehrer et G. Stampacchia, Sur une nouvelle formulation du problème de l'écoulement à travers une digue, C. R. Acad. Sci. Paris Sér. A 287 (1978), 711-714. Zbl0391.76072
  5. [CC] J. Carrillo and M. Chipot, On nonlinear elliptic equations involving derivative of the nonlinearity, Proc. Roy. Soc. Edinburgh 100A (1985), 281-294. Zbl0586.35044
  6. [CM] M. Chipot and G. Michaille, Uniqueness results and monotonicity properties for the solution of some variational inequalities, Ann. Scuola Norm. Sup. Pisa (4) 16 (1989), 137-166. Zbl0699.35113
  7. [CFM] M. Chipot, A. Feggous and G. Michaille, Monotonicity properties for variational inequalities associated with nonlinear diagonal systems, in: Proceedings of the Nancy Meeting, 1988, Pitman Res. Notes 208, P. Bénilan, M. Chipot, L. C. Evans, M. Pierre (eds.), Longman, 1989, 255-266. 
  8. [CR] M. Chipot and J. F. Rodrigues, Comparison and stability of solutions to a class of quasilinear parabolic problems, Proc. Roy. Soc. Edinburgh 110A (1988), 275-285. Zbl0669.35052
  9. [GT] D. Gilbarg and N. S. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1985. 
  10. [KS] D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities, Academic Press, New York, 1980. Zbl0457.35001
  11. [M] G. Michaille, Thesis, University of Metz, 1988. 
  12. [R] J. F. Rodrigues, Strong solutions for quasilinear elliptic-parabolic problems with time dependent obstacles, in Proc. First European Conference on Elliptic and Parabolic Problems, Pont-à-Mousson, June 1991, Pitman Res. Notes in Math. 266, Longman, 70-82. Zbl0821.35157
  13. [T] N. S. Trudinger, On the comparison principle for quasilinear divergence structure equations, Arch. Rational Mech. Anal. 57 (1974), 128-133. Zbl0311.35046

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