Variational Inequalities and the Signorini Problem for Nonlinear Material

Eberhard Zeidler
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Eberhard Zeidler: Max-Planck-Institut für Mathematik in den Naturwissenschaften

Chapter Chapter 63 in Nonlinear Functional Analysis and its Applications, 1988, pp 296-302 from Springer

Abstract: Abstract With regard to the general nonlinear model of Section 62.3 we now consider boundary-value problems, for which the elastic body is supported on parts of its boundary. The boundary conditions thereby have the form of inequalities. In functional-analytic terms, this leads to convex variational problems on convex sets. The corresponding Euler equations are variational inequalities. We shall use Theorem 46.A of Part III in order to obtain a general existence and uniqueness theorem. Throughout, the same notation as in the previous chapter will be employed.

Keywords: Variational Inequality; Elastic Body; Uniqueness Theorem; Nonlinear Material; Obtuse Angle (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4612-4566-7_7

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