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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Partial regularity for minimizers of singular energy functionals, with application to liquid crystal models
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by Lawrence C. Evans, Olivier Kneuss and Hung Tran PDF
Trans. Amer. Math. Soc. 368 (2016), 3389-3413 Request permission

Abstract:

We study the partial regularity of minimizers for certain singular functionals in the calculus of variations, motivated by Ball and Majumdar’s recent modification of the Landau-de Gennes energy functional.
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Additional Information
  • Lawrence C. Evans
  • Affiliation: Department of Mathematics, University of California, Berkeley, Berkeley, California 94720
  • Olivier Kneuss
  • Affiliation: Department of Mathematics, University of California, Berkeley, Berkeley, California 94720
  • Address at time of publication: Department of Mathematics, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
  • Hung Tran
  • Affiliation: Department of Mathematics, University of Chicago, 5801 S. Ellis Avenue, Chicago, Illinois 60637
  • Address at time of publication: Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
  • MR Author ID: 799584
  • Received by editor(s): September 30, 2013
  • Received by editor(s) in revised form: March 14, 2014
  • Published electronically: September 2, 2015
  • Additional Notes: The first author was supported in part by NSF Grants DMS-1001724 and DMS-1301661
    The second author was supported by Swiss NSF Grant 143575
    The third author was supported in part by NSF Grant DMS-1001724
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 3389-3413
  • MSC (2010): Primary 35J05, 35J47; Secondary 82D30
  • DOI: https://doi.org/10.1090/tran/6426
  • MathSciNet review: 3451881