Variational and Non-variational Methods in Nonlinear Analysis and Boundary Value Problems pp 349-375 | Cite as

# Inequality Problems in BV and Geometric Applications

## Abstract

The theory of variational inequalities appeared in the middle 60’s in connection with the notion of subdifferential in the sense of Convex Analysis (see e.g. [4], [10], [16] for the main aspects of this theory). All the inequality problems treated to the beginning 80’s were related to convex energy functionals and therefore strictly connected to monotonicity: for instance, only monotone (possibly multivalued) boundary conditions and stress-strain laws could be studied. Nonconvex inequality problems first appeared in [18] in the setting of Global Analysis and were related to the subdifferential introduced in [7] (see A. Marino [17] for a survey of the developments in this direction).

## Keywords

Variational Inequality Inequality Problem Critical Point Theory Lower Semicontinuous Function Multiplicity Result## Preview

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