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.