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Compactness for maps minimizing the n-energy under a free boundary constraint

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Let X denote a compact subset of ℝn and B the unit ball in ℝn. In this paper we investigate analytical and topological compactness properties of minimizing sequences for the n-energy in the class of maps , the homotopy class .

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  1. Mathematisches Institut der Albert-Ludwigs-Universität, Eckerstr. 1, 79104 Freiburg, Germany. e-mail: antipas@mathematik.uni-freiburg.de, , , , , , DE

    Thomas Müller

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  1. Thomas Müller
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Received: 5 June 2000

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Müller, T. Compactness for maps minimizing the n-energy under a free boundary constraint. manuscripta math. 103, 513–540 (2000). https://doi.org/10.1007/PL00005864

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  • DOI: https://doi.org/10.1007/PL00005864

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