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E-raamat: Mathematical Theory of Hemivariational Inequalities and Applications

(Aristotle University, Thessaloniki, Greece),
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Mathematical Theory of Hemivariational Inequalities and ApplicationsSuurem pilt
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A rigorous presentation of the mathematics of the expressions that arise in problems involving nonconvex, nonsmooth energy functions. It establishes a theory of the existence of solutions for inequality problems involving nonconvexity and nonsmoothness, and illustrates the mathematical results with examples from mechanics, engineering, and economics. It explains hemivariational inequalities for static one-dimensional and multidimensional nonconvex superpotential laws, locally Lipschitz functionals, and free boundary problems. Annotation copyright Book News, Inc. Portland, Or.

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.

Arvustused

". . .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

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.
Naniewicz\, Zdzistaw; Panagiotopoulos\, P. D.
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Püsilink: https://www.kriso.ee/db/97810004477816e.html
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