Abstract
We know from Chapter 2 that, if we intend to consider concrete problems in unilateral Mechanics involving both monotone and nonmonotone unilateral boundary (or interior) conditions, then we have in general to deal with a nonsmooth and nonconvex energy functional — expressed as the sum of a locally Lipschitz function \(\Phi :X \to \mathbb{R}\) and a proper, convex and lower semi-continuous function \(\psi :X \to \mathbb{R} \cup \left\{ { + \infty } \right\}\) — whose critical points are defined as the solutions of the variational-hemivariational inequality
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© 2003 Springer Science+Business Media New York
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Goeleven, D., Motreanu, D., Dumont, Y., Rochdi, M. (2003). Minimax Methods for Inequality Problems. In: Variational and Hemivariational Inequalities Theory, Methods and Applications. Nonconvex Optimization and Its Applications, vol 69. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-8610-8_4
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DOI: https://doi.org/10.1007/978-1-4419-8610-8_4
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