Advertisement

Convergence of Minima and of Minimizers

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

Abstract

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations