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Variational Inequalities with Applications is written by Mircea Sofonea and published by Springer Science & Business Media. It's available with International Standard Book Number or ISBN identification 0387874607 (ISBN 10) and 9780387874609 (ISBN 13).
This book is motivated by stimulating problems in contact mechanics, emphasizing antiplane frictional contact with linearly elastic and viscoelastic materials. It focuses on the essentials with respect to the qualitative aspects of several classes of variational inequalities (VIs). Clearly presented, easy to follow, and well-referenced, this work treats almost entirely VIs of the second kind, with much of the material being state-of-the-art.