Nonsmooth problems; variational inequalities

Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 153)


Many problems in physics and in other applications cannot be formulated as equations but have some more complicated structure, usually of a so-called complementarity problem. From the abstract viewpoint, the equations are replaced by inclusions involving set-valued mappings. We confine ourselves to a rather simple case (but still having wide applications) which involves set-valued mappings whose “set-valued part” can be described as a subdifferential of a convex but nonsmooth potential. Recall that we consider, if not said otherwise, V reflexive.


Weak Solution Variational Inequality Free Boundary Complementarity Problem Maximal Monotone 
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Copyright information

© Birkhäuser Verlag Basel 2005

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