Mathematical theory of hemivariational inequalities and applications

書誌事項

Mathematical theory of hemivariational inequalities and applications

Z. Naniewicz, P.D. Panagiotopoulos

(Monographs and textbooks in pure and applied mathematics, 188)

M. Dekker, c1995

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注記

Bibliography: p. 251-264

Includes index

内容説明・目次

内容説明

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.

目次

  • 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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