Mathematical Theory of Hemivariational Inequalities and Applications: 1st Edition (Hardback) book cover

Mathematical Theory of Hemivariational Inequalities and Applications

1st Edition

By Zdzistaw Naniewicz, P. D. Panagiotopoulos

CRC Press

296 pages

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Hardback: 9780824793302
pub: 1994-11-15
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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.

Reviews

". . .well written and organized. . ..clearly stated. . ..provides a broader and more unified perspective on what still needs to be developed. . ..these results will be applied in the fields of mechanics, elasticity, and various branches of engineering."

---Zbl. Math

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.

About the Series

Chapman & Hall/CRC Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT037000
MATHEMATICS / Functional Analysis