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Zbl 0551.49007
Baiocchi, Claudio; Capelo, António
Variational and quasivariational inequalities. Applications to free boundary problems. Transl. from the Italian by Lakshmi Jayakar. (English)
[B] A Wiley-Interscience Publication. Chichester etc.: John Wiley and Sons. IX, 452 p. \sterling 29.50 (1984).

This book provides a self-contained treatment of variational and quasi variational inequalities theory which provides a unified and general formulation of a wide class of unilateral and free boundary problems arising in elasticity, fluid flow through porous media, economics and transportation equilibrium etc. Written by one of the pioneers, C. Baiocchi, the book contains enough material for engineers and mathematicians alike. Indeed, the book is very well written and presented and is a useful source for professionals working in the engineering and mathematical sciences. This book equips the reader with an overall logic of formulating and successfully studying the many unrelated moving and free boundary value problems in the framework of variational inequality theory. For the numerical treatment of variational inequalities, see an excellent book by J. Crank [Free and moving boundary problems, Oxford (1984)].
[M.A.Noor]
MSC 2000:
*49J40 Variational methods including variational inequalities
49-01 Textbooks (calculus of variations)
35R35 Free boundary problems for PDE
35J85 Unilateral problems; variational inequalities (elliptic type)
35K85 Unilateral problems; variational inequalities (parabolic type)
74S30 Other numerical methods
90C33 Complementarity problems
76S05 Flows in porous media

Keywords: variational and quasi variational inequalities; unilateral and free boundary problems

Cited in: Zbl 1226.90005 Zbl 0671.49002

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Scientific prize winners of the ICM 2010
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