Book Review
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MathSciNet review:
1567390
Full text of review:
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Book Information:
Authors:
David Kinderlehrer and
Guido Stampacchia
Title:
An introduction to variational inequalities and their applications
Additional book information:
Academic Press, New York, 1980, xiv + 313 pp., $35.00.
R. W. Cottle, F. Giannessi, and J.-L. Lions (eds.), Variational inequalities and complementarity problems, A Wiley-Interscience Publication, John Wiley & Sons, Ltd., Chichester, 1980. Theory and applications. MR 578735
David George Wilson, Alan D. Solomon, and Paul T. Boggs (eds.), Moving boundary problems, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 0466887
3. Free boundary problems, Proc. Sem. (Pavia), 1st. Naz. Alta Mat. Roma, 1980.
4. Free boundary problems, Proc. Sympos. (Montecatini) (A. Fasano and M. Primicerio (eds. )), Pitman, London, 1982.
Jacques-Louis Lions, Sur quelques questions d’analyse, de mécanique et de contrôle optimal, Collection “Chaire Aisenstadt”, Les Presses de l’Université de Montréal, Montreal, Que., 1976 (French). MR 0493633
6. C. Baiocchi and A. Capelo, Disequazioni variazionali e quasivariazionali. Appliazioni a problemi difrontiera libera, Pitagora Editrice, Bologna, 1978; English transi, (to appear).
Roland Glowinski, Jacques-Louis Lions, and Raymond Trémolières, Numerical analysis of variational inequalities, Studies in Mathematics and its Applications, vol. 8, North-Holland Publishing Co., Amsterdam-New York, 1981. Translated from the French. MR 635927
G. Duvaut and J.-L. Lions, Les inéquations en mécanique et en physique, Travaux et Recherches Mathématiques, No. 21, Dunod, Paris, 1972 (French). MR 0464857
A. Bensoussan and J.-L. Lions, Applications des inéquations variationnelles en contrôle stochastique, Méthodes Mathématiques de l’Informatique, No. 6, Dunod, Paris, 1978 (French). MR 0513618
Alain Bensoussan, Stochastic control by functional analysis methods, Studies in Mathematics and its Applications, vol. 11, North-Holland Publishing Co., Amsterdam-New York, 1982. MR 652685
R. Glowinski, Lectures on numerical methods for nonlinear variational problems, Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol. 65, Tata Institute of Fundamental Research, Bombay; Springer-Verlag, Berlin-New York, 1980. Notes by M. G. Vijayasundaram and M. Adimurthi. MR 597520
C. M. Elliott and J. R. Ockendon, Weak and variational methods for moving boundary problems, Research Notes in Mathematics, vol. 59, Pitman (Advanced Publishing Program), Boston, Mass.-London, 1982. MR 650455
Avner Friedman, Variational principles and free-boundary problems, A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York, 1982. MR 679313
- 1.
- R. W. Cottle, F. Giannessi, and J. L. Lions (eds.), Variational inequalities, Wiley, New York, 1980. MR 0578735
- 2.
- D. G. Wilson, A. D. Solomon, and P. T. Boggs (eds.), Moving boundary problems, Academic Press, New York, 1978. MR 466887
- 3.
- Free boundary problems, Proc. Sem. (Pavia), 1st. Naz. Alta Mat. Roma, 1980.
- 4.
- Free boundary problems, Proc. Sympos. (Montecatini) (A. Fasano and M. Primicerio (eds. )), Pitman, London, 1982.
- 5.
- J. L. Lions, Quelques questions d'analyse de mécanique et de contrôle optimal, Presses de l'Univ. de Montréal, 1976. MR 493633
- 6.
- C. Baiocchi and A. Capelo, Disequazioni variazionali e quasivariazionali. Appliazioni a problemi difrontiera libera, Pitagora Editrice, Bologna, 1978; English transi, (to appear).
- 7.
- R. Glowinski, J. L. Lions and R. Trémolières, Numerical analysis of variational inequalities, North-Holland, Amsterdam, 1981. MR 635927
- 8.
- G. Duvaut and J. L. Lions, Les inéquations en mécanique et en physique, Dunod, Paris, 1972; English transl., Springer-Verlag, Berlin and New York, 1976. MR 464857
- 9.
- A. Bensoussan and J. L. Lions, Applications des inéquations variationnelles en contrôle stochastique, Dunod, Paris, 1978. English Transl. North-Holland, Amsterdam, 1982. MR 513618
- 10.
- A. Bensoussan, Stochastic control by functional analysis methods, North-Holland, Amsterdam, 1982. MR 652685
- 11.
- R. Glowinski, Numerical methods for non-linear variational problems, Tata Institute Lecture Notes, Springer-Verlag, Berlin and New York, 1980. MR 597520
- 12.
- C. M. Elliott and J. R. Ockendon, Weak and variational methods for moving boundary problems, Pitman, London, 1982. MR 650455
- 13.
- A. Friedman, Variational principles and free boundary problems, Wiley, New York (to appear). MR 679313
Review Information:
Reviewer:
Haim Brezis
Journal:
Bull. Amer. Math. Soc.
7 (1982), 622-627
DOI:
https://doi.org/10.1090/S0273-0979-1982-15073-X
