ArticleOriginal scientific text

Title

A remark on uniqueness for quasilinear elliptic equations

Authors 1, 1

Affiliations

  1. Département de Mathématiques, Université de Metz, Ile du Saulcy, 57045 Metz Cedex 01, France

Bibliography

  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.
  5. [CC] J. Carrillo and M. Chipot, On nonlinear elliptic equations involving derivative of the nonlinearity, Proc. Roy. Soc. Edinburgh 100A (1985), 281-294.
  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.
  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.
  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.
  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.
  13. [T] N. S. Trudinger, On the comparison principle for quasilinear divergence structure equations, Arch. Rational Mech. Anal. 57 (1974), 128-133.
Pages:
9-18
Main language of publication
English
Published
1996
Exact and natural sciences