Dominance Functions for Parametric Lagrangians

  • Stefan Hildebrandt
  • Heiko von der Mosel
Chapter

Summary

We discuss the concept of dominance functions for parametric Lagrangians together with important examples and various applications to the existence and regularity theory for minimizers of parametric functionals, and for the construction of unstable stationary surfaces. The focus lies on the construction of a perfect dominance function based on ideas of Morrey.

Keywords

Minimal Surface Free Boundary Problem High Regularity Plateau Problem Conformality Relation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Stefan Hildebrandt
    • 1
  • Heiko von der Mosel
    • 1
  1. 1.Mathematisches InstitutUniversität BonnBonnGermany

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