Inequality Problems in BV and Geometric Applications
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. , ,  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  in the setting of Global Analysis and were related to the subdifferential introduced in  (see A. Marino  for a survey of the developments in this direction).
KeywordsVariational Inequality Inequality Problem Critical Point Theory Lower Semicontinuous Function Multiplicity Result
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