1st Edition

Mathematical Theory of Hemivariational Inequalities and Applications

ISBN 9780367401986
Published September 5, 2019 by CRC Press
296 Pages

USD $74.95

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Book Description

Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established.

Table of Contents

Introductory material; pseudo-monotonicity and generalized pseudo-monotonicity; hemivariational inequalities for static one-dimensional nonconvex superpotential laws; hemivariational inequalities for locally Lipschitz functionals; hemivariational inequalities for multidimensional superpotential law; noncoercive hemivariational inequalities related to free boundary problems; constrained problems for nonconvex star-shaped admissible sets.

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Naniewicz, Zdzistaw; Panagiotopoulos, P. D.