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On Korn-Maxwell-Sobolev inequalities

IR

Abstract

We establish a family of inequalities that allow one to estimate the Lq-norm of a matrix-valued field by the Lq-norm of an elliptic part and the Lp-norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime p = 1.

source:https://www.sciencedirect.com/science/article/pii/S0022247X2100305X?via%3Dihub

Journal

Details

  • CRID
    1050570543438770688
  • NII Article ID
    120007126743
  • ISSN
    0022247X
  • Web Site
    http://id.nii.ac.jp/1394/00001956/
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles

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