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Co-area, liquid crystals, and minimal surfaces

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Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((2803,volume 1306))

Abstract

Oriented n area minimizing surfaces (integral currents) in M m+n can be approximated by level sets (slices) of nearly m-energy minimizing mappings M m+n → Sm with essential but controlled discontinuities. This gives new perspective on multiplicity, regularity, and computation questions in least area surface theory.

This research was supported in part by grants from the National Science Foundation

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, New Jersey, USA

    F. Almgren, W. Browder & E. H. Lieb

Authors
  1. F. Almgren
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  2. W. Browder
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  3. E. H. Lieb
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Editor information

Shiing-shen Chern

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© 1988 Springer-Verlag

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Almgren, F., Browder, W., Lieb, E.H. (1988). Co-area, liquid crystals, and minimal surfaces. In: Chern, Ss. (eds) Partial Differential Equations. Lecture Notes in Mathematics, vol 1306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082921

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  • DOI: https://doi.org/10.1007/BFb0082921

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19097-4

  • Online ISBN: 978-3-540-39107-4

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