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On some nonlinear elliptic equations involving derivatives of the nonlinearity

Published online by Cambridge University Press:  14 November 2011

J. Carrillo  and
M. Chipot
J. Carrillo
Affiliation:
Departamento de Ecuaciones Funcionales, Facultad de Matematicas, Universidad Complutense, Madrid 3, Spain
M. Chipot
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, U.S.A. and Département de Mathématiques, Université de Nancy I, BP 239-54506 Vandoeuvre-Cedex, France
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Synopsis

We give some results on existence and uniqueness for the solution of elliptic boundary value problems of type

when the βi are not necessarily smooth.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 100 , Issue 3-4 , 1985 , pp. 281 - 294
Copyright
Copyright © Royal Society of Edinburgh 1985

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References

1Brezis, H.. The Dam Problem revisited. In Free Boundary Problems: Theory and Applications Vol. 1, (Fasano, A., Primicerio, M., editors) (London: Pitman, 1983).Google Scholar
2Brezis, H., Kinderlehrer, D. and Stampacchia, G.. Sur une nouvelle formulation du probléme de l'écoulement à travers une digue. C. R. Acad. Sci. Paris, Sér. A 287 (1978), 711–714.Google Scholar
3Carrillo-Menendez, J.. Existencia de solucion para una familia de Problemas no-lineales (Algumos aspectos de la unicidad). Ada III Congresso de Ecuaciones Differenciales y Applicationes, Santiago, June 1980.Google Scholar
4Gilbarg, D. and Trudinger, N. S.. Elliptic Partial Differential Equations of Second Order (Berlin: Springer, 1977).CrossRefGoogle Scholar
5Kinderlehrer, D. and Stampacchia, G.. An Introduction to Variational Inequalities and their Applications (New York: Academic Press, 1980).Google Scholar
6Ladyzhenskaya, O. A. and Ural'tseva, N. N.. Linear and Quasilinear Elliptic Equations (New York: Academic Press, 1968).Google Scholar
7Lions, J. L.. Problemes aux limites dans les equations aux derivées partielles (Presses de I'Université de Montreal, 1965).Google Scholar
8Stampacchia, G.. Equations elliptiques du second ordre à coefficients discontinus (Presses de l'Université de Montreal, 1965).CrossRefGoogle Scholar