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The aim of this research monograph is to present a general account of the applicability of elliptic variational inequalities to the important class of free boundary problems of obstacle type from a unifying point of view of classical Mathematical Physics.The first part of the volume introduces some obstacle type problems which can be reduced to variational inequalities. Part II presents some of the main aspects of the theory of elliptic variational inequalities, from the abstract hilbertian framework to the smoothness of the variational solution, discussing in general the properties of

Calculus of variations. --- Variational inequalities (Mathematics) --- Mathematical physics. --- Physical mathematics --- Physics --- Inequalities, Variational (Mathematics) --- Calculus of variations --- Differential inequalities --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Mathematics