Two-by-two upper triangular matrices and Morrey’s conjecture

Terence L.J. Harris, Bernd Kirchheim, Chun Chi Lin

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is shown that every homogeneous gradient Young measure supported on matrices of the form (a1,1⋯a1,n-1a1,n0⋯0a2,n) is a laminate. This is used to prove the same result on the 3-dimensional nonlinear submanifold of M 2 × 2 defined by det X= 0 and X 12 > 0.

Original languageEnglish
Article number73
JournalCalculus of Variations and Partial Differential Equations
Volume57
Issue number3
DOIs
Publication statusPublished - 2018 Jun 1

Keywords

  • 49J45

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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