Abstract Variational Problems and Examples

  • Bertrand Mercier


IN SECTION 1 OF this chapter, we give a variational formulation of the Dirichlet problem. In section 2 we prove the existence and uniqueness results for the abstract variational problem. In the remaining sections, we deal with the Neumann problem, Elasticity problem, Stokes problem and Mixed problem and their variational formulations.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • Bertrand Mercier
    • 1
  1. 1.Ecole PolytechniqueCentre de Mathematiques AppliqueesPalaiseauFrance

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