Author(s)

C. Vitanza

Abstract

We observe how many equilibrium problems obey a generalized complementary condition, which in general leads to a Variational Inequality. In particular we study the elastic-plastic torsion problem. We solve this problem in two separates cases; precisely, we express the problem respectively in the cases of linear operators (see sect.2) and of non linear monotone operators (see sect. 3). This paper is a survey of results contained in [l 11 and [12]. 1 Introduction The study of many equilibrium problems (The Obstacle Problem, the discrete traffic equilibrium problem, the continuous traffic equilibrium problem, the spatial price equilibrium problem, the migration problem, the Walras problem, etc. (see [7], [13], [14.])) has contributed to focus that the equilibrium conditions obey a form of generalized complementary conditions whose meaning is that when one of the factors is greater than zero, the

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