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.
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Hildebrandt, S., von der Mosel, H. (2003). Dominance Functions for Parametric Lagrangians. In: Hildebrandt, S., Karcher, H. (eds) Geometric Analysis and Nonlinear Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55627-2_17
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DOI: https://doi.org/10.1007/978-3-642-55627-2_17
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