Abstract
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.
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© 2005 Birkhäuser Verlag Basel
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(2005). Nonsmooth problems; variational inequalities. In: Nonlinear Partial Differential Equations with Applications. ISNM International Series of Numerical Mathematics, vol 153. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7397-0_5
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DOI: https://doi.org/10.1007/3-7643-7397-0_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-7293-4
Online ISBN: 978-3-7643-7397-9
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