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Variational and Quasi-Variational Inequalities with Gradient Type Constraints

  • José Francisco RodriguesEmail author
  • Lisa Santos
Conference paper
Part of the CIM Series in Mathematical Sciences book series (CIMSMS)

Abstract

This survey on stationary and evolutionary problems with gradient constraints is based on developments of monotonicity and compactness methods applied to large classes of scalar and vectorial solutions to variational and quasi-variational inequalities. Motivated by models for critical state problems and applications to free boundary problems in Mechanics and in Physics, in this work several known properties are collected and presented and a few novel results and examples are found.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.CMAFcIO and Departamento de Matemática, Faculdade de Ciências, Universidade de LisboaP-1749-016 LisboaPortugal
  2. 2.CMAT and Departamento de Matemática, Escola de Ciências, Universidade do MinhoCampus de Gualtar, 4710-057 BragaPortugal

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