On Korn-Maxwell-Sobolev inequalities

Franz Gmeineder, Daniel Spector*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Article number125226
JournalJournal of Mathematical Analysis and Applications
Volume502
Issue number1
DOIs
Publication statusPublished - 2021 Oct 1
Externally publishedYes

Keywords

  • Fourier multipliers
  • Fractional integrals
  • Incompatible tensor fields
  • Korn's inequality
  • Singular integrals
  • Sobolev inequalities

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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