Convergence of Minima and of Minimizers

  • Gianni Dal Maso
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 8)


In this chapter we shall prove that, under some equi-coerciveness assumptions, the Γ-convergence of a sequence (F h ) to a function F implies the convergence of the minimum values of F h to the minimum value of F. Moreover, under the additional hypothes is that F h and F have a unique minimum point, we shall prove that the sequence of the minimizers of F h converges to the minimizer of F.


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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Gianni Dal Maso
    • 1
  1. 1.International School for Advanced Studies (SISSA)TriesteItaly

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