Dominance Functions for Parametric Lagrangians

Stefan Hildebrandt and Heiko von der Mosel
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Stefan Hildebrandt: Universität Bonn, Mathematisches Institut
Heiko von der Mosel: Universität Bonn, Mathematisches Institut

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 297-326 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_17

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DOI: 10.1007/978-3-642-55627-2_17

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